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Zina [86]
3 years ago
15

Accounting for almost 60% of American exports by the beginning of the Civil War, which statement regarding the impact of cotton

is TRUE?
A) The Northern states provided the labor for the cotton plantations.
B) The Southern states developed the plantation system and rigid social classes.
C) The invention of the cotton gin reduced the South's dependency on cotton farming.
D) The cotton production fueled the rise of manufacturing centers in the Southern states.
Social Studies
2 answers:
kykrilka [37]3 years ago
4 0
<span>B) The Southern states developed the plantation system and rigid social classes. </span>
Sauron [17]3 years ago
3 0
<h2>the answer would end up to be b)</h2>
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A rectangular page is designed to contain 81 square inches of print. The margins at the top and bottom of the page are each 1 in
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Answer:

x = 11.02 inch by  y = 7.35 inch

Explanation:

Let the width of the print be = x

Then the width of the page is x + (1.5+1.5) = x + 3

Let the height of the print be = y

Then the height of the page is y + (1+1) = y + 2

Given the area of the print is 81 square inches

That means, xy = 81

Therefore, y = \frac{81}{x}

Therefore, the area of the page is

A = (x + 3)(y + 2)

   = (x + 3)(\frac{81}{x} + 2)

Now for least amount of paper to be used,

\frac{dA}{dx}=(x+3)(\frac{81}{x}+2)

\frac{dA}{dx}= \left (\frac{81}{x}+2  \right )+\left ( x+3 \right )\left ( -\frac{81}{x^{2}} \right )=0

\frac{81+2x}{x}=\frac{(x+3)(81)}{x^{2}}

81x+2x^{2}=81x+81\times 3

2x^{2}=243

x = 11.02 inch

Now y = \frac{81}{x}

          = \frac{81}{11.02}

          = 7.35 inch

Therefore the dimensions of thr page for the least amount of paper is x = 11.02 inch by  y = 7.35 inch

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