P1 =
2(L+W)
We'll write the perimeter of the
square:
P2 = 4x
We know that
P1 = P2 => 2(L+W) = 4x => (L+W) = 2x
We also
know that L = 10+x
10+x+W =
2x
We'll isolate W to the left
side:
W = 2x - x - 10
W = x -
10
The width W expressed in terms of x is: W
= x - 10.
The Old Man and the Sea contains two
major stylistic components. The first is Hemingway's classic narrative style: short,
focused descriptions and run-on sentences without commas. These act to draw the reader
into the narrative, keeping interest while avoiding unnecessary pauses or
digressions.
He knew what a huge fish this was and he thought
of him moving away in the darkness with the tuna held crosswise in his mouth. At that
moment he felt him stop moving but the weight was still
there.
Each sentence
describes exactly what is happening without comment or explanation; the reader is
invited to take the events of the story in and interpret it at a more personal
level.
The second major component is Hemingway's use of
internal monologue. Santiago is alone at sea, and so he talks only occasionally. Mostly,
his thought processes are shown to the reader, which gives the dispassionate narration a
more intimate feeling:
What I will do if he decides to go down, I don't
know. What I'll do if he sounds and dies I don't know. But I'll do something. There are
plenty of things I can do.
He held the line against his
back and watched its slant in the water and the skiff moving steadily to the
North-West.
(Hemingway, The Old Man and the Sea, Google
Books)
Here, Santiago's
internal thoughts are juxtaposed with the narration. He thinks about his options as the
skiff is pulled, and resolves to take some form of action rather than being passive. The
use of internal monologue allows a greater insight into Santiago, and also helps to
establish his past life without having him laboriously explain it to another
person.
A change in the ratio of full-time to part-time employment
makes no difference in a country's unemployment rate. However, such a change would
certainly affect how we should assess the strength of the
economy.
The unemployment rate in a country does not
distinguish between full-time and part-time workers. Anyone who has a paid job of any
sort is employed. Therefore, an economy where half of the labor force works part-time
could have the same unemployment rate as if none of the labor force worked part-time (so
long as the same percent of all workers in the labor force had a
job).
Of course, the economy with fewer part-time jobs
would most likely be the healthier economy. Therefore, when there is a change in this
ratio, we should assess the unemployment rate differently. We should note that a change
to a higher part-time to full-time ratio would typically mean that an economy is
struggling, even if the actual unmployment rate remains
unchanged.
We'll equate the given
expressions:
x^2+x+1
=-x^2-2x+6
We'll shift all terms to one
side:
x^2 + x^2 + x + 2x + 1 - 6 =
0
We'll combine like
terms:
2x^2 + 3x - 5 = 0
We'll
apply quadratic fromula:
x1 =
[-3+sqrt(9+40)]/4
x1 =
(-3+7)/4
x1 = 1
x2 =
(-3-7)/4
x2 = -10/4
x2 =
-5/2
We'll get y1 coordinate, when x1 =
1:
y1 = 1+1+1=3 (we notice that we'll get the same value if
we'll replace x by 1 in the 2nd equation).
We'll get y2
coordinate, when x2 = -5/2:
y2 = 25/4 - 5/2 +
1
y2 = 15/4 + 1
y2 =
19/4
The intercepting points of the given
curves are: (1 ; 3) and (-5/2 ; 19/4).
We'll write the rectangular form of the complex number
z:
z = a + bi
Since z' is the
conjugate of z, then z' = a - b.
To determine z, we'll
have to find out it's coefficients:
We'll multiply by 6
both sides:
3(a + bi) - 2(a - bi) = -
30
We'll remove the
brackets:
3a + 3bi - 2a + 2bi = -
30
We'll move all terms to the left
side:
3a + 3bi - 2a + 2bi + 30 =
0
We'll combine real parts and imaginary
parts:
a + 5bi + 30 = 0
The
real part of the complex number from the left side
is:
Re(z) = a + 30
The real
part of the complex number from the right side is:
Re(z) =
0
Comparing, we'll get:
a + 30
= 0
a = -30
The imaginary part
of the complex number from the left side is:
Im(z) =
5b
The imaginary part of the complex number from the right
side is:
Im(z) = 5b
Comparing,
we'll get:
5b = 0
b =
0
The requested complex number z is:
z = -30 (whose imaginary part is
0).
Sputnik was important for the Soviet Union for two main
reasons.
First of all, Sputnik was somewhat important in
military terms. By creating a rocket that could reach space, the Soviet Union was
moving ahead toward having missiles that could carry its nuclear weapons. This was more
important for the Soviets than for the US because US nuclear weapons were lighter and
could be carried by bombers. By contrast, Soviet weapons needed missiles to carry
them. Therefore, Sputnik represented a major step in Soviet military
development.
Second, and more importantly, the Soviet
victory in the space race was a major public relations victory. By launching Sputnik,
the Soviets were proving (they could argue) that they were equal to (or better than) the
US in terms of science and technology. This gave them a great deal of prestige in the
eyes of other nations.
It seems likely that your textbook gives an answer that
you are supposed to come up with. I say this because this is a
very subjective question and there is no real objective way
to answer it. So I really suggest that you check your book to see what it
says.
One can argue that the foundation of the American
spirit of free enterprise was the Protestant work ethic that Max Weber talked about.
This idea holds that Protestants were driven by the idea that work was righteous for its
own sake. People should work as hard as possible at all times rather than just doing
enough to get by. This attitude, it can be argued, caused Americans to be very
capitalistic and to value free enterprise.
One can also
argue that it was the lack of class structure that made the US value free enterprise.
Since in America all people were equal and all people could get ahead, there was a real
incentive to work hard and to be entrepreneurial. This helped cause Americans to
believe in free enterprise.
Either of these is a plausible
answer and other answers are possible. I once again recommend that you check your book
for what it says is the right answer.
