Any idea why and for what grade it is appropriate to teach Roll of Thunder, Hear My Cry?

I taught Roll of Thunder, Hear My Cry
to seventh graders, including several groups of, shall we say, reluctant
learners (summer school) with great success.  Having taught American history for quite
some time, I was able to make many connections to what was happening in the United
States during the time Taylor set her novel, and we also looked at how Taylor's own life
was reflected in the story.  In terms of literary elements, we looked at plot,
characterization, the usual stuff, and always spent some time with figurative language
because Taylor used it so masterfully in her descriptions.  The thing that most engaged
the students, however, was the institutional racism of Depression era Mississippi; they
were always horrified as the novel progressed, that people like the Wallaces were never
held accountable for their actions.  It opened up some great class discussions about
tolerance, and in terms of literary analysis, I think it was perfectly appropriate for
7th grade.

What do you think is the principal message of "The Open Window" by H. H. Munro?

I would want to argue that there are probably many
messages that can be extracted from this excellent story. Clearly, the major message
that we can identify is linked to the power of storytelling and how the power of a good
story is celebrated by recognising the impact that it can have over a susceptible
audience. Note the way in which Vera is presented as a master storyteller without
compare. She is able to quickly identify Framton Nuttel's susceptibility and acts with
verve and imagination to tell him a story with spectacular results. Then, having to
explain the swift exit that he takes after the "ghosts" enter through the open window of
the title, she does it again, this time using a story to trick her relatives. As we
re-read the story after our first reading, we are amazed at the skill in which Vera
sounds out her victim, making sure that he knows nothing about her aunt before
unleashing her tale.

Thus we can see that this story is
above all about the way that a gifted storyteller can use stories with devastating
impact to manipulate those around them. It is thus a warning and a celebration of the
power of storytelling, as poor Framton Nuttel gives testament to. I doubt whether his
meeting with Vera helped his nervous condition!

How do I divide a circle into 7 parts, Using a compass and without a protractor?I can do 2,3,4,6,12. I am an Artist not a Math Person. Thanks in...

If you can divide a circle into 4 even wedges then you're
half way to dividing it into 5.

Let's assume you've divided
a circle into 4 even sections with a horizontal line and a vertical line. Bisect the top
half of the vertical line (the line segment from the center of the circle to the top of
the circle).  If you're not sure how to do this, the following is one
method:

Set your compass to the radius of the circle, place
its pivot where the vertical line crosses the top of the circle.  Draw an arc that
crosses the circle in two places.  Draw a line between the points the arc intersects the
circle - it will bisect the top half of the vertical
line.

Put the pivot of the compass on the bisect point you
just made.  Adjust the compass so that it reaches one of the points the horizontal line
intersects the circle and draw an arc from it to the other intersection point
between circle and horizontal line.

Put the pivot of the
compass at the intersection of the arc you just drew and the vertical line it
crossed.  Adjust the compass so that it can touch one of the points of intersection
between the horizontal line and the circle.  The compass is now at the length of a
secant that will divide the circle into five even sections just like the radius of a
circle is the secant that divides the circle into six even
sections. 

So now, just like divide a circle in to six
sections, pick a point as the first of your 5, set the compass pivot there and mark
intersection points clockwise and counterclockwise from it.  Using these two new points
to start at, use the compass to make two more and there are your 5 evenly spaced points
on the circle.  Draw line segments from these points to the center of the circle for 5
even wedges or extend the segments to the opposite side of the circle for ten
wedges.

There is a drawing at the web site
provided that does the same thing except it bisects one of the horizontal lines – the
results are the same.  

You can now get a pretty good
approximation for a dividing a circle into 9 or 11 parts.  On one piece of paper draw a
circle and divide it into 10 sections – make sure the line segments that divide the
circle extend past the circle a bit.  Now draw two more circles concentric with the
original, divided one; make the first 10% larger and the second 10% smaller than the
original. 

On a separate piece of paper draw a circle the
same size as the one you divided into 10 parts.  The length between adjacent division
lines where they intersect with the smaller concentric circle you drew on the other
piece of paper are pretty close to the length of a secant that can be used to divide
your fresh circle into 11 sections.  Conversely the adjacent intersections from the
larger circle will give you a good first try at dividing a circle of the original size
into 9 sections.    

There’s also a geometric method (done
with compass and straightedge only) for approximating dividing a circle into seven even
wedges, but it has slipped my mind and I haven’t been able to find my notes on it
either.

What does a trachea do in grasshoppers?

If you are referring to tracheal tubes, they are located
along the length of the abdomen in 8 pairs and there are also two pairs in the thorax
region. They have spiracles or openings to the outside environment. They are used by
members of class Insecta for respiration. The oxygen enters the tubules, which branch
into very fine tubules called tracheoles, and then, it diffuses into cells inside the
body cavity. The interior cells of Insects are never far from a tracheole. Likewise,
carbon dioxide diffuses from the cells of the body, into the tracheal tubes and out of
the spiracles back to the environment.

In To Sir, With Love, please describe the character of Mr. Florian.

We are given a thorough description of Mr. Florian, the
headmaster of Greenslade Secondary School, in Chapter One of this excellent novel, when
the author visits the school for the first time and meeets Mr. Florian, and is allowed
to wander around to see the school for himself. Note how the author describes this
somewhat eccentric character:

readability="13">

Behind a large desk sat a small man whose large
head was decorated with a fine crop of carefully groomed curly white hair; the face was
either tanned or olive-skinned, lean with high cheekbones and surprisingly smooth, as if
the youthfulness which had deserted his hair had found permanent accommodation around
the aquiline nose and full sensuous moth; his brown eyes were large, slightly
protruding, and seemed filled with a kind of wonder, as if he were on the verge of some
new and exciting
discovery.

He seems to be
described as if he were some kind of eccentric professor figure, with the white hair and
youthful face and childish enthusiasm. However, as the novel develops, we see that what
impresses Braithwaite above all is Mr. Florian's "deep, enthusiastic concern and
undoubted love for the children." He is clearly presented as unorthodox in his approach
to teaching and education, but above all what endures is his belief in the children and
his sympathy for them, combined with an obvious understanding of the very difficult
contexts from which they come from.

What are the causes of immigration from Northern Europe to America in the 1840s and 1850s

The two main groups to immigrate during this time were the
Irish and British. The Irish bitterly resented the British who ruled Ireland. Many
rented from British landlords who treated them as second class sub-citizens. It was
densely populated, and suffered from intense economic hardship. Aside from political
persecution, the Irish economy depended heavily on the potato crop which was wiped out
by potato blight. Because of the long time for potato plants to mature, there was
insufficient time for another crop to be planted and many people starved. The Irish
Potato famine caused widespread death (over one million) from starvation, promise of the
good life in America drew them like flies. They came over crowded in ships that were
dangerous and unsanitary. Still,they had no choice, as to stay in Ireland would have
been certain starvation.

Many German immigrants
tended to be learned people, doctors, lawyers, teachers, etc., who left Germany after
the European revolutions of 1848 failed. Attempts had been made to unify Germany but
failed. The resultant political persecution caused many Germans to migrate to the U.S.
from political necessity.

What is the symbolism of the pretty bird on the front cover of Mocking Jay?

The Mockingjay, in the novel
Mockingjay (of The Hunger Games trilogy)
symbolizes many different things.

Katniss' first real brush
with the Mockingjay happens in novel one.  She receives a pin with the mockingjay on it
from the mayor’s daughter, Madge Undersee. Also during her first appearance in the
Hunger Games, Katniss befriends a young tribute from District 11, Rue. Rue reminds
Kantiss of her sister (Prim) and they create a way to talk back and forth during the
games using bird calls.

As the novels move on, Katniss
comes to know that the mockingjay came about after a bad decision of the Capitol's. (The
Capitol created the jabberjay, they escaped from the Capitol, and mated with
mockingbirds.) Katniss is, therefore, symbolic of the mockingjay herself.  She is,
ultimately, a creation of the Capitol after her trip to the Hunger Games. She was
changed and became something completely different than what she was prior to the
games.

For the final novel, the mockingjay represents the
rebellion against the Capitol.  Katniss, being the perfect symbol to represent the
rebellion given her dislike for the Capitol, becomes the
Mockingjay.

I'm writing a research paper on "As I Lay Dying". My topic is "Love". What would be a good thesis statement for this paper?

This topic is actually a quite rich one in relation to
As I Lay Dying.

One way to read this
novel is to see it as an exploration of several types of love or modes of the expression
of love. Love can be seen as service and sacrifice (Cash), affection and attachment
(Darl), redemption/self-effacement (Jewel), and loyalty
(Anse).

A thesis statement focusing on the varying modes of
love explored in the novel could look like
this:

• Love is a term with many definitions. In
  William Faulkner’s novel, As I Lay Dying, several of these
  definitions are explored in ways both practical and
  psychological.

What is the natural number x if 1+ 5 + 9 + ...+ x = 231?

The series in this question is called a arithmetic
sequence. The difference between each number is 4

The first
number is 1, the last number is X, there are (x-1)/4 +1 terms in the sequence (you can
verify that using a lot of ways)

then the total sum
is

((1+X)*（（x-1)/4+1))/2
=231

(x^2-1)/4 +1+X=462   (multiplication Property of
Equality(P.O.E))

x^2 +3 +4X = 1848 ( Addition and
Multiplication P.O.E)

X^2 +4X - 1845 =0
(Simplify)

(x+45)(x-41) = 0
 (Factoring)

x= -45 or 41 Eliminate the negative
root

The Term is 41 

Can you support the main theme or dominant idea of The Kite Runner with references to the story?

Well, there are plenty of themes that you could explore to
answer this question, but one of the central ones concerns the narrator's own struggle
and journey towards establishing his own identity and raison d'etre
in life. Throughout his childhood, it is clear that Amir finds it difficult to know who
he his and how he fits in to life. He feels constantly judged by his father's bravery
and strength, and how he is able to stand up for what he knows to be right. Amir is
presented as a character who is weak compared to his father. He lets Hassan be raped and
does nothing and he does not stand up to protect an Afghan woman from being raped as he
is smuggled out of Pakistan. Note how in Chapter Ten when Amir tries to stop Baba from
defending this woman he is met with disdain:

readability="10">

"Baba, sit down please," I said, tugging at his
sleeve. "I think he really means to shoot you."

Baba
slapped my hand away. "Haven't I taught you anything?" he
snapped.

Amir's own lack of
moral uprightness and cowardice is constantly judged by the example of his father. It is
only when Amir is confronted with the truth of his relations with Hassan that he finds
the courage borne out of necessity to return to a devasatated Afghanistan and face his
childhood nemesis, Assef, in order to rescue Hassan's son, and redeem himself, finding
out who he is and seeing that he is his father's son after all. Thus the theme of
discovering identity is shown through the journey--in every sense of the word--that Amir
makes during the course of the novel.

What makes an atom stable? When is its nucleus stable and when does it have electronic stability?

Here, we have to look at two different stabilities of
atoms. One is the radioactive stability that involves forces between the particles that
make up the nucleus and the other is the chemical stability that involves the electronic
configuration of atoms.

The nucleus of atoms consists of
protons and neutrons. There is a strong force of repulsion between the protons as they
have the same electric charge. These forces are balanced by a strong nuclear force that
ensures the nucleus of atoms does not break apart.

For
atoms which have more than 83 protons in their nucleus the strong nuclear force is less
than the force of repulsion between the protons; this makes them unstable and they
undergo radioactive decay processes and convert to forms with a stable
nucleus.

Chemical stability is reached when atoms have the
electronic configuration of the closest noble gas. This can be achieved by either
sharing electrons as in covalent bonds or giving up or accepting electrons as in ionic
bonds.

Chemical stability is reached by the rearrangement
of electrons and nuclear stability is reached by a change in the constituents of the
nucleus of atoms.

How does the gang look out for Ponyboy in The Outsiders?I mean how and why do they keep Ponyboy out of danger so much?

The gang is protective of both Ponyboy and Johnny because
they are the two youngest and smallest members. They try to convince them both to never
walk the streets alone; they are often accompanied by Two-Bit and/or Dally. Darry
generally doesn't allow Pony to go out on school nights, and all of the greasers try to
positively reinforce Pony's academic abilities. Pony's greaser friends know he has a
better chance than any of them to complete high school and possibly go to college. Pony
and Johnny try to ride with Two-Bit when they can, but on the night they encounter the
Socs, Two-Bit's car is out of action. When it comes time for the rumble, they try to
talk Pony out of participating, since he is still weak; of course, Pony will not hear of
this.

What is the solution of equation sin^2x+sinx*cosx=1?

We'll shift (sin x)^2 to the right
side:

sin x*cos x = 1 - (sin
x)^2

But, from Pythagorean identity, we'll
have:

1 - (sin x)^2 = (cos
x)^2

The equation will
become:

sin x*cos x = (scos
x)^2

We'll subtract (cos x)^2 both
sides:

sin x*cos x - (cos x)^2 =
0

We'll factorize by cos
x:

cos x*(sin x - cos x) 
=0

We'll cancel each
factor:

cos x = 0 => x = +/-arccos 0 +
2k*pi

x = +/-(pi/2)
+ 2k*pi

sin x - cos x =
0

We'll divide by cos x:

tan x
- 1 = 0

tan x = 1 => x = arctan 1 +
k*pi

x = pi/4 +
k*pi

The solutions of the equation belong to
the reunion of the following sets: {+/-(pi/2) + 2k*pi}U{pi/4 +
k*pi}.

What is the Manifest Destiny?

The Manifest Destiny is an axiom, or
maxim, that was first mentioned in the mid 1800's in an editorial  published by the
United States Magazine and Democratic Review.

Although the editorial was anonymous, it was
later on credited to the magazine editor, John O' Sullivan. The writing was
motivated  by the annexation of Texas, a massive territory, into the United States. As a
result of this addition, the author is quoted with the following
message:

 "our
manifest destiny to overspread the continent allotted by Providence for the free
development of our multiplying
millions."

Eventually, this
message caught on with the public and was used in many more instances during U.S.
history when more land was acquired and more states joined the Union. Both, the
Democratic party and Conservative groups, have, at one time or another, adopted the idea
of a manifest destiny to spread their patriotic
messages.

Conclusively, the manifest destiny is the
patriotic paradigm that the United States is a great nation which is meant to become
bigger, and greater with the "blessing" of destiny.

What does it mean to use sensory details to convey a sense of the setting, quality of the food, and the presence of your company during a dinner?

I think that you are being asked to describe the elements
through the use of your senses.  Sensory imagery is a way that a writer is able to
convey the experience of "the moment" by using the senses in order to connect the
instant with the reader.  For example, in conveying the "quality of the food," one can
use the sense of sight in describing how it looks.  Taste would be another sensory image
used to make the reader fully grasp the properties of the food.  In articulating "the
presence of company," how did their voice sound, using the sense of hearing?  What
material comprised the various dresses and suits, which would appeal to the sense of
touch.  In this sensory detail arena, most of what you are being asked to do is to put
yourself in that situation, experience it for yourself, noting everything.  Then, put
the reader in what you were in by conveying to the reader what you experienced.  What
smells were in the room?  In being able to describe the sense of smell, you are able to
connect the experience of being in the room with a sensation that might allow the reader
to better connect with that moment.  Writers always struggle with the recreation of the
moment because words and language limit the reader.  No matter what, there will always
be a barrier between what is being experienced and how a third party will interpret this
experience.  The use of sensory imagery and sensory details helps to bridge this gap
because the writer is able to link what they experience through the use of the senses,
something that can be easily identified by the reader.

Why does Hamlet follow the ghost of his father in Hamlet?

This section of the play comes in Act I scene 4. We are
told that the Ghost, when it appears before Marcellus, Horatio and Hamlet, does its best
to try and beckon Hamlet to go away with it by himself. Horatio says it is as if "some
impartment did desire / To you alone." From their perspective, it seems as if the Ghost
wants Hamlet to be with him alone so that it can tell him something. For Hamlet, the
fact that it will not speak at this stage means that he will follow it. He is obviously
incredibly curious as to why the Ghost has appeared, and in particular, what news it
wishes to share with Hamlet. We have been told by Marcellus already that "something is
rotten in the state of Denmark," and this combined with Hamlet's grief over his father
suggests that Hamlet already at some level suspects that something might not be right
with the way that his father died. Thus seeing the Ghost, with the possibility that his
father might not rest easy in his grave, would have made Hamlet desperate to know the
truth, ready to risk anything.

Compare the themes of James Weldon Johnson's "Sence You Went Away" and Langston Hughes' "Little Old Letter."

The theme of "Little Old Letter" by Langston Hughes is
very similar to that in James Weldon Johnson's "Sence You Went
Away."

It might be important to note that both authors were
black; Johnson was born in 1871 and Langston Hughes was born in 1902. Both men were
considered Harlem Renaissance poets, though Johnson was considered the "elder statesman"
of the poetic movement. Johnson was educated at Atlanta University, and while he majored
in literature and "European music tradition," upon graduating he first became a school
principal, and later U.S. Consul first in Venezuela and later in Nicaragua. Before 1912,
he was already a published poet in the U.S. Prior to his death, Johnson was also a
professor at Fisk University.

This information is important
to the context of the poem. After reading the poem, it makes perfect sense that Johnson
had a deep and abiding interest in "African American folk
tradition."

readability="8">

While a freshman in college, Johnson took a trip
throughout the rural South, igniting his interest in the African American folk
tradition.

One of the
noteworthy aspects of Johnson's poem, "Sence You Went Away," is the author's uncanny
ability to capture the dialect of a poor southern man while making his sorrow over the
departure of his sweetheart a theme that anyone can relate
to.

Langston Hughes started writing poetry in eighth grade.
He received his Bachelor's degree from Lincoln University in Pennsylvania. He is
credited with inventing "jazz poetry."

readability="8">

In Langston Hughes's poetry, he uses the rhythms
of African American music, particularly blues and
jazz.

It is probably for this
reason that Hughes' poetry has such a unique sound. Hughes found it difficult to earn a
living as a writer, but had some success, especially after writing lyrics for a Broadway
musical— which enabled him to buy a house in Harlem, a long-standing dream. His writing
and reputation grew.

readability="7">

Langston Hughes was, in his later years, deemed
the "Poet Laureate of the Negro
Race…"

Hughes was a prolific
writer, writing well over three hundred poems in his lifetime. His prominence as a poet
has grown over the years. Many of his poems are especially appealing in that they
describe the pride of being an American, while ironically he also wished he could
enjoy the rights of an American.

His
poem "Little Old Letter" is especially powerful because of the nature of the two
extremes presented in the writing. The speaker also mourns the loss of love in his life.
The poem's title is a little misleading, calling the "Dear John" letter a "little old
letter," which intentionally misleads the reader. The note is anything
but "little," and this point is crystal clear at the end when the
speaker notes that the pen is a cruel and destructive
weapon:

Just a
pencil and paper,

You don’t need no gun or
knife—

A little old letter

Can
take a person’s life.

Both of
these poems reflect the similar theme of lost love. Hughes' poem concentrates on the
power of words to destroy love, and is straight-foward and impactful. In Johnson's poem,
the heartbreak seeps through each line, eliciting in the reader mournful images—tied to
nature—demonstrating the true depth of this man's loss: the stars and sun don't shine as
brightly, the sky has paled and the bird has "forgotten his
song."

Johnson and Hughes show us that love lost speaks a
universal
language.

Additional
Sources:

http://www.poetryfoundation.org/poem/175745

http://en.wikipedia.org/wiki/Langston_Hughes

In Jane Austen's Pride and Prejudice, how does Elizabeth's visit to Pemberly House help break down her pride and her prejudice?

In Jane Austen's novel, Pride and
Prejudice, Elizabeth's pride and prejudice are broken down when she visits
Pemberly House, owned by Mr. Darcy.

As she and her uncle
and aunt travel in their carriage, Elizabeth is enthralled by the beauties of nature
around them on the grounds of the estate. Here she believes she has seen some of the
most stunning countryside she has ever encountered. Darcy's home also provides other
visions of nature through windows within his home, that is handsomely but conservatively
decorated. Elizabeth is of a mind that she might have been the mistress of such a lovely
place—that she immediately falls in love with because of its extraordinary beauty—had
things gone better between her and Mr. Darcy.

Other things
take place to make Elizabeth rethink her impressions of Mr. Darcy. Mrs. Reynolds, the
housekeeper, can do little but praise Darcy, and this is a woman who has known him for
many years.

readability="23.881578947368">

'If your master would marry, you
might see more of him.'

'Yes, Sir; but I do not know
when that will be. I do not know who is good enough for
him.'

Mr. and Mrs. Gardiner smiled. Elizabeth could not
help saying, 'It is very much to his credit, I am sure, that you should think
so.'

'I say no more than the truth, and what every body
will say that knows him,' replied the other. Elizabeth thought this
was going pretty far; and she listened with increasing astonishment as the housekeeper
added, 'I have never had a cross word from him in my life, and I have known him ever
since he was four years
old.'

The things that
Elizabeth hears are so different than the knowledge her experiences with Darcy have
conveyed to her. Here is a man she really does not know. They find that he is devoted to
his sister and does whatever he can to bring her
pleasure.

readability="7">

'[Miss Darcy is] the handsomest young lady that
ever was seen; and so accomplished! — She plays and sings all day long. In the next room
is a new instrument just come down for her — a present from my master; she comes here
to-morrow with
him.'

Eventually, Elizabeth
and her aunt and uncle take a tour of the grounds. Everything is lovely. Suddenly, to
Elizabeth's embarrassment, Mr. Darcy appears, though she had been assured he would not
return until the following day. Based upon their previous interactions, she cannot help
but believe he will wonder at her presence and perhaps be less than
congenial.

However, when he arrives, he is solicitous and
kind. He asks after her family and, when introduced to her aunt and uncle, is the
epitome of grace and hospitality. Darcy invites her uncle to come to fish whenever he
might choose. As her aunt and uncle return to the house, Darcy and Elizabeth walk
together, and he asks if she would consent to meeting his sister. Elizabeth realizes
that this a quite an honor from Darcy, especially in light of the high regard he has for
Miss Darcy. She agrees.

As they depart in the carriage,
Elizabeth finds that Darcy seems a different man and her prejudice is altered. His
thoughtfulness and kindness open her heart to think of him in a different light; and her
pride is altered enough that she finds no reason to criticize him or think unkindly of
him, having seen a side of him that is new to her. Even his graciousness to her
relatives indicates that something has changed with
Darcy.

In these ways, her visit to Pemberly allows
Elizabeth's pride and prejudice regarding Mr. Darcy, to be broken
down.

Can any one of you tell me what exactly a past participle is and provide examples?It might sound silly and I didnt know where to post. Its a...

Wow, you sound like me when it comes to grammar! I teach
English as well, and quake when it comes to teaching technical grammar. It is one thing
to recognize or know what something is, but a completely different thing when it comes
to defining it for others and providing exemplary
examples.

To begin with an
example:

readability="6">

Crying, he stumbled away from his wrecked
bicycle.

Okay, the past
participle is "wrecked" and it modifies "bicycle". Here, "crying" is also a participle,
but a present one.

A participle is a verbal that is used as
an adjective and most often ends in -ing or
-ed. The term verbal indicates that a
participle, like the other two kinds of verbals, is based on a verb and therefore
expresses action or a state of being. However, since they function as adjectives,
participles modify nouns or pronouns. There are two types of participles: present
participles and past participles. Present participles end in -ing.
Past participles end in -ed, -en,
-d, -t, -n, or
-ne as in the words asked,
eaten, saved, dealt,
seen, and
gone.

Now if you are anything like me,
this definition makes no sense! You simply have to find a way for it to make sense and
then you will be more effective in teaching it.

So here is
my "cheat", let us go back to my example:

readability="6">

Crying, he stumbled away from his wrecked
bicycle.

"He stumbled away."
This is a complete sentence. Participles help to define how things are using verbals
(verb forms). We know what verbs are: actions. Verbals are verb words used in a
different fashion.

He was crying as he stumbled away. The
main verb is stumbled given this is what he did. "Crying" is how he stumbled away,
therefore is a present participle. "Wrecked" is the action that describes the bike-
therefore a participle and since it ends in "ed" it is a past
participle.

One website that I always turn to is Owl at
Purdue. It is wonderful for those tough grammar and writing questions. I am constantly
using it and passing it out to students.

I hope that I did
not confuse you further. Good luck.

What is the concentration of H+ or OH- in excess after the reaction of 28 ml HNO3 , concentration 0.250 + 53 ml KOH 0.320 concentration?

We'l write the chemical reaction
first:

KOH + HNO3 -> KNO3 +
H2O

To calculate the concentration of the excess ions we'll
apply the following formula:

Concentration of excess of
ions = excess moles/total volume of solution

We'll
determine the total volume of solution:

Total volume = 28
mL + 53mL = 81mL = 0.081L

We'll determine the initial moles
of H+;

Initial moles of H+ = volume * concentration of HNO3
= 0.028*0.250

Initial moles of H+ = 0.007
mol

Initial moles of OH- = volume * concentration of KOH =
0.053*0.320

Initial moles of OH- = 0.01696
mol

We'll calculate the excess moles of OH = (Initial moles
of OH-) - (Initial moles of H+)

excess moles of OH =
0.01696 - 0.007 = 0.00996 mol

Concentration of excess of
OH- = excess moles OH-/total volume of
solution

Concentration of excess of OH- = 0.00996
mol/0.081L = 0.123

The concentration of the
excess of OH- ions is of 0.123.

Why does Dewey Dell hate Darl so intensely in As I Lay Dying?

Dewey Dell and Darl share a trait: both have the ability
to "talk without the words," although Darl possesses the trait more acutely than his
sister. When he sees Dewey Dell, he knows she is pregnant; she doesn't have to tell him.
Because he knows, she hates him. She fears he will tell Anse, and then what will Anse
do? Just knowing that Darl knows infuriates Dewey Dell because she doesn't trust him
with her secret, a secret she plans to do something about, although she's not exactly
sure what that will be. Having no women around from whom she can easily ask advice,
Dewey Dell is left to seek information awkwardly from the local pharmacies in the towns
the family passes through. All the while, she fears that Darl may tell someone.Her
hatred will ultimately find an odious outlet.

Regarding McKay's "America," discuss the significance of the "granite wonders."

In McKay's poem, the "granite wonders" refer to America's
"might."  The speaker constructs a vision of America that represents strength.  This is
repeated at different points.  The "tiger's tooth," "her vigor," and "bigness" are all
images that help to convey the strength and power of America.  The "granite wonders" is
another image of this.  Yet, consistent with power in McKay's work, the speaker is
articulating a vision of power turning on itself.  The symbol of America is this poem is
one where strength and power are not used to bring others in, but rather to marginalize
and silence.  This is also consistent with McKay's position as a poet who speaks "the
dispossessed, the oppressed, the discriminated against."  The "granite wonders" of
skyscrapers, buildings, and monuments that represent strength and power are viewed with
skepticism at the end of the poem, where the poet suggests that these monuments are
built upon a firmament that is "sinking in the sand."  In this light, the poem fulfills
another idea of McKay's poetry in the speaker possessing sight in the land of the
blind.

What is the the vertex and the axis of symmetry of the parabola: y = x^2 − 16x + 63?

We need to determine the vertex and the the axis of
symmetry of the parabola y = x^2 - 16x + 63

For the general
equation of a parabola y = ax^2 + bx + c, the x-coordinate of the vertex is given by
-b/2a.

Substituting the values for the given parabola we
have 16/2 = 8

For x = 8, y = 8^2 - 16*8 + 63 = 64 - 128 +
63 = -1

The vertex of the given parabola is (8,
-1)

The axis of symmetry of a parabola is given by x =
-b/2a

For the given parabola it is x =
8

The axis of symmetry of the parabola is x =
8 and the vertex is (8, -1)

"At a very early period she had apprehended instinctively the dual life-that outward." What does this suggest about Edna's inner struggle?The...

In chapter VII of The Awakening, by
Kate Chopin, we find Edna Pontellier gazing at the ocean, realizing that she has always
been "different."  By different it is meant that she has never had the need nor the want
to comply with every social expectation bestowed upon women of a certain class, namely,
getting married, having children, and live a life of straight up
virtue.

Contrastingly, Edna has always leaned towards the
unusual. An example of this is her friendship with Adele. Adele is a foil of Edna's not
only physically, but metaphysically as well. Adele is described as "matronly" and stout,
while Edna is upright and straight. Adele is artistic and free-spirited, while Edna is
analytical and emotionally repressed.

It is because of this
contrast that Edna feels free to confess her analysis of herself to Adele: She basically
stated to her how the expectations that women are supposed to meet in order to be
considered virtuous are, for Edna, nothing but
limitations.

This is the first time Edna comes face to face
with this reality: She had lived a life that meant really nothing to her real self. She
had been struggling with the "real" Edna and making herself act like the "fake" Edna.
This is the meaning of the statement that she was
living

the outward existence which conforms, the
inward life which questions.

The outward
existence, the fake Edna, just takes in whatever comes her way and complies with social
rules. The inward life, "the real" Edna, is the one coming out and awakening to the
reality of its existence.

What is the value of : 16*67*45/45(65+67*65)

Here's another way to solve this
problem:

There is a common factor of 45 in the numerator
and denominator; those divide out to equal 1.  Then we have
(16*67)/(65+67*65).

Although there is a 67 in both the
numerator and denominator, this is NOT a common factor, because there is something else
added to the product in the denominator.  So we have to leave it as is and do some
multiplication.  16*67 = 1072, and 67*65 = 4355, then we add the 65 to get
4420.

Now, our fraction is 1072/4420.  If you know the
rules for divisibility by 4 (if the last two digits of a number are a number that is a
multiple of 4, then the entire number is a multiple of 4.  [see below the
answer for an explanation of why that works.]

Well, 72 = 4*18, so 1072 has a
factor of 4. (We also know that's true because one of the factors was 16, or 4*4.)  20 =
4*5, so 4420 also is divisible by 4.  1072 = 4*268 and 4420=4*1105, so the
simplified fraction = 268/1105.  This fraction doesn't simplify further
because 268=2*2*67 and
1105=5*221.

Now, why does the
divisibility rule for 4's work? Obviously, if a two-digit number is
divisible by 4, that takes care of the divisibility of that part of the number.  100 is
divisible by 4 (e.g., 4 quarters = $1.00); therefore, any multiple of 100--including
1,000 (10^3), 10^4, etc.--will be divisible by 4.

Attempt a critical appreciation of Elizabeth Barrett Browning's 'When Our Two Souls'.

This is one of Browning's famous love sonnets that
celebrates and extols the love that the speaker has with her beloved. The poem is built
around a central image of the two souls of the speaker and her beloved standing together
and close, "erect and strong," by themselves in the world and enjoying perfect unity on
every level. This union is so perfect that the speaker says that if they desired to
"mount higher" then the angels would spoil their union by dropping a "golden orb of
perfect song / Into our deep, dear silence." Therefore, to avoid this disruption, the
speaker tells her beloved that they should stay on
earth:

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--where the
unfit,

Contrarious moods of men recoil
away

And isolate pure spirits, and
permit

A place to stand and love in for a
day,

With darkness and the death-hour rounding
it.

So, the poem ends with a
recognition of how imperfect is. However, it is this very imperfection that makes it
such an excellent place for the lovers to stay together, precisely because the
"contrarious moods of men" automatically recoil from "pure spirits," isolating them
together, and allowing them to be united, albeit temporarily, as the lovers are always
reminded by the darkness and the threat of death.

This poem
therefore seems to be a celebration of the love that we can enjoy here on earth, and
whilst recognising that it can only be temporary, the poem acknowledges that there is a
deep and profound joy to be had in making the most of such a love
now.

Discuss Jane and Bingley's marriage in Austen's Pride and Prejudice.

The Bingley-Jane relationship, as a whole, seems to be a
subject of subtleconcern in the novel Pride and Prejudice, by Jane
Austen.

We first see a concern when Charlotte Lucas notices
that neither Jane nor Bingley seem to take a further step in solidifying their
courtship, and seem to be reducing themselves to meeting only at parties or
balls.

readability="10.653753026634">

.....though Bingley and Jane meet
tolerably often, it is never for many hours together; and as they always see each other
in large mixed parties, it is impossible that every moment should be employed in
conversing together. Jane should therefore make the mostof every half
hour in which she can command his attention. When she is secure of him, there will be
leisure for falling in love as much as she
chooses.''

Similarly, Mr.
Bennet himself makes an ironic comment regarding the natural tendencies of the couple.
They both seem quiet, not too excitable, even a bit shy. He mentions their disposition
to act just like each other, and their little energy, compared of course to
Elizabeth.

Although the marriage seems to be a successful
one, the way in which it became possible leaves a couple of questions regarding
Bingley's strength of character and initiative with Jane. Yet, in Austen's world there
is a solution for everything, so ultimately their marriage found very little obstacles
to succeed.

character sketch of pakhom from how much land does a man require?it should be in 1500 words

Pakhom is dissatisfied with his life. He feels that owning
land will make him happy and settle his problems. He is able to purchase some land, but
still is not satisfied. Pakhom becomes greedy. He desires more and more
land.

When Pakhom hears about the lush, rich land of the
Bashkirs, he heads out to purchase it. When he arrives, the Bashkirs tell him that he
can have all the land he can walk around in a day.

At
sunrise, Pakhom meets at the top of the hill. All that he has to do is walk around as
much land as possible before sunset. Pakhom begins by covering quite a bit of land,
actually more than he should try and cover. By sunset, he is rushing to the the top of
hill. By trying to cover too much area, Pakhom stresses himself. He reaches the top of
the hill and falls dead.

Sadly enough, Pakhom learns the
hard way. In the end, Pakhom only needs six feet of land, just enough to be buried in.
He should have been content, but his greed kills him.

What is the diegesis for Georg Büchner's play Woyzeck as a whole?

Diegesis, defined in narratological terms, is the
combination of the time and the space that operate in a given narrative. Dino Franco
Felluga Ph.D. of Purdue University refers to it as a "narrative's time-space continuum."
The diegesis comprises all the time-space components that constitute the fictional world
that the reader enters and for which the reader suspends disbelief.

The fictional world--the diegesis--of Woyzeck
begins with the early nineteenth century in a military barracks in a town in Germany.
Part of the diegesis is the combination of educated people with publicly recognized
morals and uneducated people who do not understand abstractions and thoughts--like both
Woyzeck and Marie--as well as they understand feelings and practical actions.

This combination juxtaposes differing judgements of moral values and
displays an ironic hypocrisy among the educated people, like the Captain and the
drum-major, whom Woyzeck believes are far too superior to him for him to understand.
Part of the complex diegesis includes this moral aspect of the time-space situation that
permits the Captain to criticize Woyzeck for being unwed (a result of poverty) and then
enjoy telling him that his beloved Marie has a lover.

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CAPTAIN: You’re a good fellow, Woyzeck, but
(Solemnly) you’ve no morals. Morals are . . .
well, observing morality, you
understand. That’s the way of it. You’ve got a child without the church’s blessing, as
our reverend padre calls it--without the church’s blessing; that’s his
expression.

CAPTAIN: finding a hair from someone else’s beard ...
maybe, a drum-major's .... sticking to a certain pair of lips. A certain pair of lips,
Woyzeck.

Similarly, this
aspect of the diegesis permits the educated and respected drum-major to seduce Marie and
still be considered moral and upstanding while Woyzeck is surely judged for his
murderous revenge on Marie (that is except for those distracted by clinical analysis of
him):

MARGARET
(backs away): You’re all red! - With blood!
WOYZECK: With blood? With
blood?
The crowd has
gathered.

[English
translation by Michael Imison Playwrights Limited.]

In The Outsiders, why does Cherry talk to Ponyboy so easily and not to her so-called friends?

Cherry does not have to put on the pretense of being a Soc
when she is with Ponyboy. Just as Pony is not fully embedded in his status as a Greaser,
and can easily walk between the two worlds through his manner and intelligence, Cherry
is also one who represents the moderate Soc; not fully engulfed in the lifestyle and
social expectations of her group.  The two are, in effect, 'outsiders'
themselves--meaning that they are on the fringe of their own social groups as a result
of their values and personalities. They are kindred spirits, but are likely doomed to
walk their teen days separated by respective class
boundaries.

From a literary standpoint, Cherry's presence
also serves as the keyhole through which we see the humanity and problems of the
antagonists--the Socs. Because we need to see the author's theme that 'things are tough
all over,' the author likely needed a character that gives us a glimpse into the Soc
world and was herself sympathetic. She was flawed, as evidenced by her statement that
she might not greet Pony if she were to see him in school, but we see she was struggling
with essentially the same issues as Pony. Instead of a jarring change of point of view
in the novel, the author was able to give us information from the other perspective by
making Cherry accessible to us. It was necessary for her to be able to go between both
camps.

If you were to put your English class on a deserted, tropical island, what would happen?

Now, since this question appears to be one designed for
the student to answer, you must use your imaginative and analytical powers.  First of
all, you may wish to design the island on which your class is going to land as one
similar to that of Lord of the Flies, or you may wish to create one with some bamboo or
other vegetation from which the survivors can catch fish.  (Entering fish as a food item
mitigates the necessity of killing the pigs for protein, and may lessen the potential
for savagery.) At any rate, you will need to first describe the island and its
features.

Then, you will want to consider carefully the
personalities of the class in which you have English.  If these people be [subjunctive
mood of to be]on an island together without adult supervision, what
will happen?  Would they be disciplined enough to self-rule?  Or will a strong leader
have to emerge?  Is there one in your class?

Consider
carefully the personality types of your English class.  Who is charismatic enough to be
a leader?  Who will rebel against the new rules that will be set?  Who is sadistic
enough to fie for leadership with the charismatic leader?  How will the students act
without adult supervision?  Will they self-disciplined like Piggy and intuitive like
Simon?  Will they recognize the beast?  Will they split into two groups?  Will they
degenerate into what Jack and Roger do?

They are many
considerations.

What is the difference between what "is" and what "ought to be" in terms of the categorical imperative?

In ethics, it is often pointed out that just because
something is the case does not mean it ought to be. So, just because women are paid less
than men, does not imply that they ought to be. Kant argued that morality was wholly
based on Reason alone and that we could tell if something was morally acceptable or not
by asking ourselves if what we were considering doing should be a univeral law;
something everyone did all the time.

So, according to Kant,
before you tell a lie you should ask yourself "Would I want it to be a universal law
that everyone lied?". Reason tells you that the answer is NO because if everyone did,
then one could not even state the universal law (everyone should lie) without breaking
it. This law leads to absurdity and so is immoral.

Kant
argued that you could tell if something that is the case is morally correct by applying
this universal law or test to it. Thus, it is the case that women are paid less than men
overal. The question for Kant would be is it moral? Let's see. Would that I want women
to be paid less than men? What are the ramifications of this question? Is it reasonable?
Does it lead to a contradiction? If so, then Kant would say it is
immoral.

A car travels for 40 min at 45 mph. Then travels 145 minutes at 70 mph. Find the total distance.

We need find the total distance the car
traveled.

First, the car travels for a speed of S1 = 45
mph. The time is T1= 40 min.

Let us calculate the distance
D1.

First we will convert 40 min to
hours.

==> 40 min = 40/60 hours = 2/3
hour

==> D1 = S1*T1 = 45* 2/3 = 30
miles.

Then the car travels for 145 min at a speed of S2 =
70 mph

We will convert time to
hours.

==> T2 = 145 min = 145/60 = 29/12 = 2 5/12 
hours.

==> D2 = 29/12 * 70 = 169.1666
miles.

Then the total distance the car travels is D1 + D2 =
30+169.166 = 199.166 miles.

Then the total
distance is 199.166 miles

Given dy/dx=35x^6-9*e^3x find y.

To find out the original, when knowing it's derivative,
we'll have to integrate the expression of derivative.

We'll
determine the indefinite integral of f'(x)=35x^6-9*e^3x

Int
dy = y + C

Int
(35x^6-9*e^3x)dx

We'll use the property of the indefinite
integral, to be additive:

Int (35x^6-9*e^3x)dx  =Int
(35x^6)dx - Int (9e^3x)dx

Int (35x^6)dx = 35*x^(6+1)/(6+1)
+ C

Int (35x^6)dx = 35x^7/7 +
C

Int (35x^6)dx = 5x^7 + C
(1)

Int 9e^3x dx = 9*e^3x/3 +
C

Int 9e^3x dx = 3e^3x + C
(2)

We'll subtract (2) from (1) and we'll
get:

Int (35x^6-9*e^3x)dx = 5x^7 - 3e^3x  +
C

So, the primitive function is: y = 5x^7 -
3e^3x + C

What is the metaphor in "Two Kinds" by Amy Tan?

Let us remind ourselves that a metaphor is a piece of
figurative language that compares one object to something else by asserting a direct
comparison, without using the words "like" or "as." The most important metaphor in this
story about the conflict between a mother and her daughter actually comes towards the
end of the text, when Jing-Mei's mother gives the piano to her daughter in spite of the
many disappointments she has caused her mother. Having asserted her "right" to "fall
short of expectations," Jing-Mei sees this gift as a sign of acceptance of who she is
and who she has become from a mother who has always appeared to want her to be more than
she is. Note how the piano is described:

readability="10">

And after that, every time I saw it in my
parents' living room, standign in front of the bay windows, it made me feel proud, as if
it were a shiny trophy I had won
back.

Now how the piano is
described as a "shiny trophy." Jing-Mei obviously feels that she can use this metaphor
to describe the piano this way because she believes she has won this trophy on her own
terms and has not conformed to her mother's crippling expectations for
her.

How does the use of rhythm and rhyme used in sonnet 18 assist the reader's understanding of the poem?Shakespeare's Sonnet 18

Written in a sequence and addressed to the object of the
poet's passion, Shakespeare's sonnets follow the English sonnet form with its three
four-line quatrains plus a concluding two-line couplet are used to trace the development
of this relationship of the poet and his lover.  More commonly known as the
Shakespearean sonnet, the rhyme scheme [regular pattern of rhyming words] is as
follows:abab cdcd efef gg.  Each of the three quatrains explores a
different variation of the theme and the rhyming couplet presents a summarizing or
concluding statement on this theme. For instance, the first quatrain of Sonnet
18 presents the rhetorical question of comparing the lover to a summer's
day.  The poet declares that the lover is "more lovely and more temperate," and he
demonstrates the truth of his statement.  In what is known as a
volta, or turn in thought, the second quatrain explains how Nature
is sometimes too severe and beauty is destroyed.  Then, in the third quatrain, the poet
continues his argument that the object of his passion will possess eternal beauty
because the sonnet itself will attest to her beautyl: "But thy eternal summer shall not
fade," the poet declares as the lover will live on in his verse.  Finally, the rhyming
couplet concludes by reiterating the theme that the sonnet itself will render the love
eternal. Thus, the rhyme scheme controls the thematic development of the
sonnet.

The meter of the Shakespearean sonnet, or its
rhythmical pattern is iambic pentameter.  That is, there is a foot with one unstressed
syllable follwed by one stressed syllable as in the word afraid
[a is unstressed, fraid is stressed].  Five of
these feet makes the pentameter.  For instance, "Shall I compare thee to a summer's
day?" which is the first line, exhibits this iambic pentameter.  (Using the elevated
short u and the slash mark (/), the reader can mark off the unstressed and stressed
syllables that occur in pairs five times.) This iambic pentameter follows naturally the
English emphasis upon words and syllables as well as the natural rise and fall of
English-speaking voices, thus lending reality and sincerity to the message of the
poem.

What is the solution to cos^2x - sin^2x + sin x = 0.

Since there are 2 terms that contain the fuction sine,
we'll replace (cos x)^2, by the difference 1 - (sin x)^2 (from Pythagorean
identity).

The equation will
become:

1 - 2(sin x)^2 + sin x =
0

We'll multiply by -1 and we'll re-arrange the
terms:

2(sin x)^2 - sin x - 1 =
0

We'll replace sin x by another variable
t:

2t^2 - t - 1 = 0

We'll
solve the quadratic:

t1 = [1 + sqrt(1 +
8)]/4

t1 = (1+3)/4

t1 =
1

t2 = -1/2

We'll put sin x =
t1 => sin x = 1

x = k*pi/2 +
k*pi

sin x = t2

sin x =
-1/2

x = (-1)^(k+1)*pi/6 +
k*pi

The solutions of the equation are:
{k*pi/2 + k*pi} U {(-1)^(k+1)*pi/6 + k*pi}.

Can anyone interpret Adrienne Rich's poem "Amnesia" from feminist's viewpoint?critical appreciation

In Adrienne Rich's poem, "Amnesia," I do
not believe it to be a feminist poem. Usually the theme of feminism
includes a sense of a woman's oppression by a man or male-dominated society, for
example.

Defined, Dictionary.com notes that feminism
is:

...the
doctrine advocating social, political, and all other rights of women equal to those of
men

This poem gives me to
believe that a man is involved and a woman hurt:

readability="5">

Becoming a man means
leaving

someone, or
something—

The poem is
entitled, "Amnesia," which along with the following lines, indicates that the speaker is
hurt and trying hard to forget:

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I almost trust myself to
know

when we're getting to that
scene—

call it the snow-scene in Citizen
Kane:

the mother handing over her
son

The trust the speaker is
trying to develop within herself is a battle against memories of separation—she gives us
the image of a boy leaving his mother. My first inclination when reading this poem was
that the woman's father had left when she was young. However, with the lines mentioned
above, and the speaker's reference to memories ("a picture of the past") and growing up
("the putting-away of a childish thing"), the poem could refer to a son leaving his
mother. In the movie Citizen Kane, the main character dies looking
at a snow-globe, trying to capture the past—a vision of his home—obscured by the falling
snow inside the globe: the past is hidden from him. It also points out that the one left
behind is also trying to see the one lost, looking
out through that same snow, having been "left
behind."

If this poem were about feminism, it would
criticize some kind of male behavior against a woman because she is
a woman: inferior in some way. The sense I get in this poem is not inequality, but a
loss of love—of being left behind—which is what Kane experiences in a way, when he is
sent away. The result still speaks of loneliness, and that is what I sense here: it has
to do with a loss of someone loved who has gone away.

Compare how lack of regulation impacted both the 1929 crash and the 2008 economic crisis

This is a very controversial topic because the causes of
the 2008 crisis are not completely agreed upon.  The task force set to study this by the
US government recently released three separate reports because the members could not
agree on the causes of the crisis.

It is generally believed
by historians that a lack of regulation of banks, in particular, helped cause the crash
of 1929.  Banks were able to take their depositors' money and use it to invest in the
stock market.  This helped to overinflate stock prices and it helped to make the banks
extremely weak when the stock market crashed.

Some people
who have studied the 2008 crash believe that it came about because of insufficient
regulation of the mortgage industry and, perhaps, the financial industry.  They believe,
for example, that better regulation of the mortgage industry would have prevented the
bad loans that later became "toxic."  However, this is a controversial position that is
not accepted by all.

To some people, then, both the 1929
and 2008 crises were caused in part by a lack of government regulation of one part of
the financial industry or another.

In As You Like It, what does Touchstone mean when he says "for honesty coupled to beauty is to have honey a sauce to sugar"?

It is always important with such questions to look at the
quote in context and to consider what else is happening in this scene. This quote is
said in Act 3 scene 3, in which Touchstone courts Audrey. However, this "courting" is
really a parody of courtly love that has been displayed elsewhere in the play, for
Touchstone seems to accept Audrey's unfaithfulness and also admits openly that he is
only courting Audrey so that he can satisfy his lust. The quote you have identified is
said as a response to Audrey when she asks Touchstone if she would have her be honest.
Note the full response that Touchstone gives her:

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No, truly, unless thou wert hard-favoured; for
honesty coupled to beauty is to have honey a sauce to
sugar.

If we look at this
response, we see that Touchstone is arguing that he would not have Audrey be "honest" or
faithful to him, because honesty linked together with beauty is like having honey with
sugar. Therefore Touchstone is saying that it would be too much of a good thing. We
therefore see in this scene that Touchstone "courts" Audrey in a way that is a parody of
courtly love. He is ruthlessly honest about his reasons for wanting to marry, and he is
likewise honest about his expectations of Audrey as well. The "love" that Touchstone and
Audrey share is more about satisfying their immediate physical desires rather than
anything else.

What decision is made concerning the status of wild creatures, such as rats and rabbits, in Animal Farm?

The idea of Animalism (Communism) is that all members of
society will work together for the great good of the community.  In order for this
optimistic yet unrealistic method to work is if all citizens can respect and trust one
another.  Old Major's speech is rudely interrupted by a rat who race across the barn, as
it's being chased by a dog.  The rats, therefore, represent the shady element of soceity
such as the criminals.  The existence of the rats raises a glitch in the funamental
thinking of Animalism in that not all animals can be trusted.  Still, when put to a
vote, the rats and rabbits are included as comrades probably because the optimists felt
they could be tamed.  Of course, the rats and the rabbits become the least of the
animals' worries after the revolution.

find dy/dx if y/x^3 + x/y^3 = x^2 y^4

Given the equation:

y/x^3 +
x/y^3 = x^2*y^4

We need to find
dy/dx

We will use implicit
differentiation.

First we will multiply both sides by
x^3*y^3

==> y^4 + x^4 = x^2 * y^4 * x^3 *
y^3

But we know that x^a *x^b =
x^(a+b)

==> y^4 + x^4 = x^5*
y^7

Now we will
differentiate.

==> 4y^3*y' + 4x^3 = (x^5)'*y^7 +
x^5*(y^7)'

==> 4y^3 y'+ 4x^3 = 5x^4 y^7 + 7x^5*y^6
*y'

Now we will combine terms with y' on the left
side.

==> 4y^3 y' - 7x^5 y^6 y' = 5x^4 y^7 -
4x^3

Now we will factor
y'.

==> y' (4y^3 - 7x^5 y^6) = (5x^4 y^7 -
4x^3)

Now we will divide
.

==> y' = ( 5x^4 y^7 - 4x^3) / (4y^3 - 7x^5
y^6)

==> y' =  x^3 ( 5xy^7 -4)/ y^3 (
4 - 7x^5 y^3)

The cost of 2 pants and 5 shirts is $211. What is the cost of one shirt if the shirt costs 40 dollars more than the pants?

Let the cost of the pants be P and the cost of the shirts
be S.

Given that the cost of 2 pants and 5 shirts is
211

==> 2P + 5S =
211............(1)

Also, given that the shirt costs 40 than
the pants.

==> S = P + 40
............(2)

Now we will substitute (2) into
(1).

==> 2P + 5(p+40) =
211

==> 2p + 5p + 200=
211

==> 7p =
11

==> p = 11/7 =
1.57

==> S =
41.57

Then the cost of the shirt is 41.57
dollars.

Explain the impending crisis that the duke and his senators face at the beginning of Act I Scene 3 of Othello.

We see the senators and the Duke in a very important
council of war at the beginning of Act I scene 3. Although the precise number of ships
is not specified, and indeed the group of leaders have received differing accounts, all
reports agree that the fleet of galleys, however many they are, are a Turkish fleet, and
that they are heading towards Cyprus. Note what the Second Senator
says:

As in
these cases, where the aim reports,

'Tis oft with
difference--yet do they all confirm

A Turkish fleet, and
bearing up to Cyprus.

Of
course, news arrives to suggest that the fleet is going to attack Rhodes, which the
group of leaders shrewdly interpret as a deflecting tactic on behalf of the fleet, as
Rhodes was more heavily defended than Cyprus, and Cyprus was actually far more important
to the Turks. Of course, the military meeting is interrupted by the arrival of the main
characters and Brabantio's charges against Othello.

What is the solution of equation [square root(4x+8)] - x=3?

We'll start by imposing the constraints of existence of
square root:

4x + 8 >=
0

We'll subtract 8:

4x
>= -8

x >=
-2

The interval of admissible values for x is: [-2 ,
+infinite).

We'll shift x to the right, to isolate the
square root to the left.

Now, we'll solve the equation
raising to square both sides:

4x + 8 =
(x+3)^2

We'll expand the square from the right
side:

4x + 8 = x^2 + 6x +
9

We'll shift all terms to the right side and then we'll
apply the symmetric property:

x^2 + 6x + 9 - 4x - 8 =
0

We'll combine like
terms:

x^2 + 2x + 1 = 0

We'll
recognize a perfect square:

(x+1)^2 =
0

x1 = x2  =
-1

Since the value of x belongs to the range
[-2 , +infinite), we'll accept it as solution of the equation: x =
-1.

What is happening in this passage of "The Rocking-Horse Winner"? Why does the mother believe she knows what the noise is?She stood, with arrested...

The mother returns and hears the strange noise from inside
her son's bedroom. The mother believes that she knows what the sound is because it is
familiar to her. Paul has had the rocking horse since he was a child. He has outgrown
the nursery, and he has had to justify keeping it to his
mother-

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"Surely you're too big for a rocking-horse!" his
mother had remonstrated.

"Well, you see, mother, till I can
have a real horse, I like to have some sort of animal about," had been his quaint
answer.

"Do you feel he keeps you company?" she
laughed.

"Oh yes! He's very good, he always keeps me
company, when I'm there," said
Paul.

The strange noise is
Paul, frantically riding his rocking-horse to make him "lucky" enough to predict the
winner of the Derby. The craving for money to sustain the household is a palpable
presence and Paul is compelled - to death--to bring in "more
money."

How do we compare between different womens' interactions in So Long a Letter?

I think that the interaction between women is one of the
most important points in the letter.  The reality is that as the modern setting befalls
upon Senegal, critical choices are going to have to be made.  The collision between
culture and gender is going to be one of these domains.  The practice of having "second
wives" and "keep wives" is a microcosm of larger gender interactions.  Binetou Fall
might protest that she is modern with her love of nightclubs, materialism, and fast
cars.  Yet, it makes sense that she is fundamentally dissatisfied as she has constructed
Ramatoulaye to be the enemy, convincing her husband to leave his first wife.  When he
dies, she is fundamentally unhappy.  This is one example where Ba has constructed a
dynamic where women see one another as adversarial as opposed to the men who benefit
from dividing them against one another.  In this, one sees how the interaction between
women is depicted as one of the domains where there has to be some level of choice and
recognition of how culture may serve to divide rather than unify.  Discussions about
gender is a vital part of this paradigm.

What are the similarities between T. Williams's A Streetcar Named Desire and Arthur Miller's A View from the Bridge?Themes with quotes if...

Both plays take place in an immigrant and working class
enclaves in American cities, thus contrasting the old-world values of the immigrants and
the American aspirations of social mobility. A View from the Bridge
focuses more on its immigrant setting (an Italian American community), while
A Streetcar Named Desire opposes Stanley (of Polish American
descent) to two Southern women, Stella and Blanche DuBois. Interestingly for your
comparison, in the different rewritings of the play, Williams considerably toned down
the immigrant component as the first version was all about an Italian family to which an
Irish brother-in-law was later added. None of these characters remain in the final
play.

In addition to the setting, both plays deals with
feelings of jealousy and challenges to the male authority posed by a newcomer. Blanche
challenges Stanley's authority in Streetcar and Rodolpho in
A View challenges Eddie Carbone's authority continuing to court his
daughter without his consent. Both Stanley and Eddie betrays their own families and
communities denouncing Blanche and Rodolpho to the authorities for their past crimes
(sexual promiscuity and a relationship with a young student for Stella, illegal
immigration for Rodolpho). However, the result of these betrayals is quite different in
the two plays. In Streetcar, Stanley initially horrifies his
neighbors and his wife as Blanche is locked away in a mental hospital. However, the
ending of the play leaves little doubt that he has reasserted his own masculine
authority. On the contrary, Eddie has committed a crime of honor, causing other illegal
immigrants to be arrested and he is despised by the community. In addition, his betrayal
does not affect Rodolpho as his prospective marriage to Eddie's daughter makes him an
American citizen. In the last scene, Eddie is (involuntarily?) killed by Marco, one of
the men who were arrested after his betrayal (momentarily out on
bail).

I would like to find some examples of soluble and insoluble fiber.

There are several kinds of natural fibers which include
vegetable, wood, animal, and mineral.

Of the kinds of
fiber, there is soluble fiber and insoluble fiber. In terms of definitions of these
kinds of fiber:

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Insoluble fiber...does not dissolve in water
because it contains high amounts of
cellulose.

Insoluble fiber
can be found in:

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grain brans, fruit pulp, and vegetable peels or
skins

Whole wheat, nuts and
seeds also contain insoluble fiber.

If insoluble fiber does
not dissolve in water, then soluble fiber does dissolve in water.
Soluble fiber is found specifically in things like:

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apples, oatmeal and oat bran, rye flour and dried
beans...

Soluble fiber is
also found in berries and bananas, as well as barley and some
vegetables.

In terms of the work done by fiber, insoluble
fiber speeds the process of food moving through the digestive process, and can help
prevent cancer. A wonderful benefit of soluble fiber is that it can lower cholesterol
levels in the blood stream because it helps the body get rid of
cholesterol.

In any event, fiber has been found to provide
excellent benefits to the body for improved health.

In The Great Gatsby, what was Jimmy Gatz' life like before he took on the name Gatsby?

The full truth of Gatsby's early life isn't revealed until
the conclusion of the novel when his father shows up in West Egg after Gatsby's death.
What he tells Nick, along with earlier passages of exposition in the novel, makes it
clear that Gatsby had indeed traveled "a long way" to his "blue lawn" in pursuit of his
romantic dream.

Jimmy Gatz, an imaginative boy, had been
born into a poor family in North Dakota and grew up among "shiftless and unsuccessful
farm people"; he had never felt at home in his own family and had rejected his identity
as the son of such parents. The family conflicts Jimmy experienced growing up are
suggested when his father tells Nick, "He told me I et like a hog once and I beat him
for it." Trapped in poverty and ugliness in North Dakota, Jimmy Gatz dreamed of a
different life, one of beauty, glamour, and romantic
possibilities.

An ambitious boy, Gatz applied himself to
change his circumstances. The notes he made in the back of his Hopalong
Cassidy book reveal that he had lived a disciplined daily life. When he
wasn't working, which took up most of his time, he spent almost all of the remaining
hours in activities to improve himself and his life; only thirty minutes were "wasted"
on play (sports and baseball). His choosing to spend two hours each day to "[s]tudy
needed inventions" shows that he was searching for a means to succeed--to make money in
order to find the colorful life he dreamed of.

Jimmy Gatz
eventually ran away from home, determined to sieze his future. He kicked around the
south shore of Lake Superior, taking odd jobs to buy himself "food and bed." As he grew
into manhood, with his "brown, hardening body," he was often pursued and spoiled by
young women, whom he held in contempt; he was self-absorbed and living without a sense
of direction. Then he drifted to St. Olaf's where he attended college, working as a
janitor to pay his way; after only two weeks, he took off again in search of the life he
hungered for and found himself once again along the shores of Lake
Superior.

It was here Jimmy Gatz met his destiny in the
shape of Dan Cody and his beautiful white yacht anchored in Little Girl
Bay:

To young
Gatz, resting on his oars and looking up at the railed deck, that yacht represented all
the beauty and glamor in the
world.

At that moment, Jimmy
Gatz changed his name to Jay Gatsby, a name he had had ready "for a long time" as he had
dreamed his way into a new identity that would leave the North Dakota boy behind
forever.

The American economy between 1920 and 1929 is best described by which of the following statements?Fear of a recession persuaded most Americans...

The 1920s economy expanded rapidly, as did jobs in
manufacturing, advertising, and construction.  The 1920s were the first time we saw an
American middle class of any real size.  Many workers were paid a decent wage, unlike
the Gilded Age sweatshop employees, and for the first time could dream of home
ownership.  Workers in Henry Ford's auto plants made $5 a day, even though they were
doing relatively simple factory work.

Today we think of
vacations as something like a birthright, but the 1920s were the first time you saw
large numbers of average Americans talk about what to do with their "time off".  The
tourism and leisure industries expanded along with everything
else.

With all I've just described to you, hopefully you
can choose which answer fits that description best from the list you've provided.  One
should stand out above the rest.

Discuss the function of written law in ancient Babylon.

The Code of Hammurabi of Babylon is the first evidence of
a written code. Hammurabi called himself "king of the four corners of the world" and
proposed the code to remove the wicked, insure welfare, promote justice, and prevent
oppression in order to be a "light" to the land:

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To promote the welfare of the people...to cause
justice to prevail in the land, to destroy the wicked and evil, so that the strong might
not oppress the weak, to rise like the sun over the people and to light up the
land.

By modern standards,
the Code of Hammurabi is harsh. Death was the proper sentence for theft or false
accusations, and often death was imposed by means considered appropriate:
Examples:

If
any one bring an accusation against a man, and the accused go to the river and leap into
the river, if he sink in the river his accuser shall take possession of his house. But
if the river prove that the accused is not guilty, and he escape unhurt, then he who had
brought the accusation shall be put to death, while he who leaped into the river shall
take possession of the house that had belonged to his
accuser.

If any one receive into his house a runaway male
or female slave of the court, or of a freedman, and does not bring it out at the public
proclamation of the major domus, the master of the house shall be put to
death.

If fire break out in a house, and some one who comes
to put it out cast his eye upon the property of the owner of the house, and take the
property of the master of the house, he shall be thrown into that self-same
fire.

Two important points
about Hammurabi's code should be emphasized:

1. It
   relied on the principle of lex talionis--the law of retaliation.
   Under this principle, the punishment fit the crime. A prime example of lex
   talionis is in the Old Testament Pentateuch:
   

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An eye for an eye, a tooth for a tooth, a foot
for foot, and a burn for a
burn

2.  Social Distinction
was recognized and punishment meted out differently according to class distinction. For
example, if a commoner were to injure a nobleman, he was put to death; yet if a nobleman
injured a commoner, he paid a fine in silver.

Once the mystery is solved in The Adventure of the Speckled Band, the story ends quickly. Is this a sound literary device? Why or Why not?

According to the great American genius Edgar Allan Poe,
what is important in a short story is to create a "single effect." Poe uses the term
"effect" a lot. What he means is a feeling or an emotional effect. It seems obvious that
once this effect is achieved, the author should terminate the story as quickly as
possible so as not to dilute the emotional effect with extraneous data. The reader
should be left with a "feeling." That is the purpose of a short
story.

In the case of "The Adventure of the Speckled Band,"
Sir Arthur Conan Doyle very artistically and adroitly provides much of the follow-up
information at the beginning rather than after the final effect has
been achieved with the sight of Dr. Roylott having died an agonizing death and still
having the speckled band wrapped around his forehead. Doyle moves the ending to the
beginning as follows:

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Of all these varied cases, however, I cannot
recall any which presented more singular features than that which was associated with
the well-known Surrey family of the Roylotts of Stoke Moran.The events in question
occurred in the early days of my association with Holmes, when we were sharing rooms as
bachelors in Baker Street. It is possible that I might have placed them upon record
before, but a promise of secrecy was made at the time, from which I have only been freed
during the last month by the untimely death of the lady to whom the pledge was given. It
is perhaps as well that the facts should now come to light, for I have reasons to know
that there are widespread rumours as to the death of Dr. Grimesby Roylott which tend to
make the matter even more terrible than the
truth.

The real facts of the
case did not come to light at the time they occurred. Roylott's death was explained as
having been caused by careless handling of a pet snake. There was no need to taint the
family reputation by accusing him of attempted murder of his stepdaughter Helen. It
would be impossible to prove, anyway. As far as the murder of Julia was concerned, that
was a closed case and Roylott had gotten away with it. But he was appropriately punished
two years later by being killed by the same snake he had used to kill Julia. There would
have been no point in reopening that case in order to convict a dead man, and it might
have been impossible to connect him to Julia's death after all that
time.

Helen will get all the money rather than only
one-third and will soon be happily married. 

Why was Andromache near the battlements in The Iliad?

Andromache is near the battlement, or city wall, because
Troy's fundamental civil engineering feat is the development of these high walls.  She
stands at these walls at a couple of moments.  The first would be in Book 6, where she
pleads with her husband, the brave Trojan warrior Hektor, to not go on the battlefield
to fight Achilles.  Her positioning near the wall is significant as she tells her
husband not to go beyond it, outside it, and fight Achilles who has already killed men
in her family and will proably kill him too. As fitting with most pleading in the work,
her imploring does no good and the symbolic image of her positioning inside the city's
battlements and Hector's outside of it reflects how, while there is obvious love and
tenderness between them, the harsh condition of Classical warfighting also is present,
creating a permanent barrier between both of them and their happiness together.  Another
reason she is near the battlement wall is in Book 22, where the duel between Hektor and
Achilles ends with the great Trojan's death.  Her running towards the battlement, the
city wall, is done so to find that her husband has been killed, to which she faints. 
Another real interesting take on this question actually comes from Euripedes' work
The Trojan Women.  Detailing the horror of where Homer leaves off,
Euripedes argues that Andromache is near the battlement, the city wall, because that is
where the Achians threw her child, Astyanax, once the walls had been stormed.  An
excellent rendering of this can be found href="http://www.utexas.edu/courses/larrymyth/images/postwar/PA-Astyanax.jpg">here,
and one can see Andromache's placement at the battlement, a location where she loses
both her husband and her son at the hand of Classical warfare and the will of the
Gods'.

What is Worcester V. Georgia?

Worcester v. Georgia was a Supreme
Court case that was decided in 1832.  In this case, the Court decided that the state of
Georgia had no jurisdiction over the lands belonging to the Cherokee nation.  This
decision implied that the Cherokee had to be treated as if they were a separate nation
within the United States.

This case is famous for two
reasons.  First of all, Andrew Jackson supposedly said of this that "John Marshall has
made his decision, now let him enforce it."  He didn't really say this, but he did go on
to ignore the implications of the decision.  Instead of treating the Cherokee as a
sovereign nation, he allowed them to be evicted from their lands in the Indian Removal
of the 1830s.  Second, the case set something of a precedent for the way that Native
Americans are now treated by law.  It set the stage for them to be treated as
semi-sovereign nations.

Please analysis the poem "How do I love thee?" by Elizabeth Barret Browning.

I have moved your question to this group because How Do I
Love Thee? by Helen E. Waite is actually a biography of Elizabeth Barrett Browning
rather than a poem, so I assumed that it was this famous sonnet that your question
refered to.

This is the most famous poem of Elizabeth
Barrett Browning, written as part of a sequence of love sonnets to Robert Browning, her
husband. In this poem, however, the love that the speaker has for her beloved is fully
realised, and highlights both the spiritual and earthly nature of this love. The love
that the speaker has seems to occupy every part of every sphere of her life, both her
soul and her earthly existence, the "quiet need" of her humdrum life. The world of the
speaker is shown to alternate between happiness and unhappiness and day and night, but
the love she has penetrates all of these emotions and times. It is important to note
that in this pageant to the power of love, the ending of the poem recognises the way in
which death will impact the love she and her lover
share:

I love
thee with the breath,
Smiles, tears, of all my life! --- and, if God
choose,
I shall but love thee better after
death.

Note how life and
death are juxtaposed in this ending to highlight the way in which at the ending of this
poem, just as in the ending of her life, what is temporary and what is eternal unite as,
with the aid of God, the lovers move from their own earthly enjoyment of their love to
what the speaker hopes will be a more refined and intense love "after death," where the
speaker hopes to "love thee better."

Thus this poem
describes a love that envelops the temporary and the eternal as love and the feelings it
engenders are explored from a female perspective.

In "Letter from Birmingham Jail" by Dr. King, how many paragraphs constitute the introduction, middle, and conclusion?

I think that the number of paragraphs is going to be a
relative concept.  With the transmission of speeches and writings to the web, strict
paragraphing entirely followed.  We can trace the structure of Dr. King’s letter in
specific terms, though.  The introduction to the letter consists of the opening address
to whom King refers in the assertion that King and his followers’ actions were “unwise
and untimely.”  In reference to other organizations, the introduction comes to a close. 
I would say that the middle begins with the idea that Dr. King is in “Birmingham because
injustice is here.”  This helps to launch him into an explanation of the cause and the
need to fight for social justice.  This “middle” goes on for quite a bit.  For my bet,
the conclusion of the letter begins with the simple sentence, “I must close now,” as Dr.
King concludes in demanding that all members of society- White and Black- fully heed the
call for social equity and to hear the cries of others’ sufferings in making Southern
society, and in turn all of America, recognize its promises and possibilities in
creating a system of equal treatment for all.

In "To Build a Fire" as a whole, how do the setting and theme reinforce each other?

The impressive and awesome setting of this incredible
story is of course inextricably intertwined with the theme of the tale, which points out
the frailty of humanity in the face of the might and power of nature. The anonymous
protagonist (which itself supports the theme of how insignificant man is when compared
with nature), in his attempts to reach the camp and his arrogance and belief that he can
make it in spite of the intense cold and the "intangible pall" and "subtle gloom" in the
otherwise "clear day," crucially ignores instinct and all the signs of nature that tell
him not to venture out, which is, ironically, what ensures the survival of the dog, a
creature of "instinct."

In particular, note what we are
told about the landscape, and in particular the cold, and the impact this has on the
man:

Fifty
degrees below zero meant eighty-odd degrees of frost. Such fact impressed him as being
cold and uncomfortable, and tha was all. It did not lead him to meditate upon his
frailty as a creature of temperature, and upon man's frailty in general, able only to
live within certain narrow limits of heat and cold, and from there on it did not lead
him to the conjectural field of immortality and man's place in the
universe.

This passage in a
sense reveals the theme of the story and how it is linked to the setting. Everything
about the intensely cold, barren landscape that the protagonist is about to enter
reinforces man's "frailty," yet this is something that the protagonist is blind to. It
is this blindness that ends up costing his life.