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4 years ago

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A right rectangular prism has a length of 10 in., a width of 12 in., and a height of 16 in. the dimensions of the prism are halv

ed. what is the surface area of the reduced prism?

1 answer:

mamaluj [8]4 years ago

5 0

236 i took the test this morning i am 100% sure :))

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The sum of two numbers is 12 and their difference is 4. What are the two<br> numbers?

guapka [62]

Answer:

<u>8 and 4</u>

Step-by-step explanation:

8 + 4 = 12

8 - 4 = 4

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3 years ago

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What is the rule for reflection across the y axis

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Answer:

(x, y) ----> (-x, y).

Step-by-step explanation:

(x, y) ----> (-x, y).

The y value stays the same but the x-value changes sign.

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3 years ago

Paul has 15% of his gross pay directly deposited into a mutual fund account each month. If $630 is deposited each month, what is

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15% of gross = 630

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Divide each side by 0.15 :

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3 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

a)

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

b)

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

c)

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

3 years ago

13. The perimeter P (in yards) of a soccer field is represented by the formula P = 24 + 2w,

rjkz [21]

Answer:

$w = \frac{1}{2}(P - 24)$

$w = 153\ yards$

Step-by-step explanation:

Given

$P = 24 + 2w$

Require

Solving (a):

$P = 24 + 2w$

Subtract 24 from both sides

$P-24 = 24-24 + 2w$

$P-24 = 2w$

Divide both sides by 2

$\frac{1}{2}(P - 24) = \frac{2w}{2}$

$\frac{1}{2}(P - 24) = w$

$w = \frac{1}{2}(P - 24)$

Solving (b):

Substitute 330 for P un the expression in (1)

$w = \frac{1}{2}(330 - 24)$

Evaluate the bracket

$w = \frac{1}{2}(306)$

$w = 153\ yards$

<em>Question c; seem irrelevant</em>

7 0

4 years ago