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Damm [24]
3 years ago
7

-2

" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

1

Step-by-step explanation:

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PLEASE HELP!!!!
LekaFEV [45]

Answer:

500

Step-by-step explanation:

It's a box with a square base, so let's say the width and length are x and the height is y.

The surface area of the box without the top is:

A = x² + 4xy

300 = x² + 4xy

The volume of the box is:

V = x²y

Solve for y in the first equation and substitute into the second:

y = (300 − x²) / 4x

V = x² (300 − x²) / 4x

V = x (300 − x²) / 4

V = 75x − ¼ x³

To optimize V, find dV/dx and set to 0:

dV/dx = 75 − ¾ x²

0 = 75 − ¾ x²

x = 10

So the volume of the box is:

V = 75x − ¼ x³

V = 500

The maximum volume is 500 cm³.

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3 years ago
What is 8(3+a)? Please answer
alisha [4.7K]

The Answer is

<h2>24 + 8a</h2>

or, 8a + 24

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