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3 years ago

7

Solve for n and graph the solution.

1 answer:

nika2105 [10]3 years ago

7 0

Answer:

<h3>n $\geq 6$ ,n $\leq 2$ </h3>

Step-by-step explanation:

2n $\geq 12$

<h3>n $\geq 6$ </h3><h3 />

3n-10 $\leq$ -4

3n $\leq$ 6

<h3>n $\leq 2$ </h3>

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ruslelena [56]

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3 years ago

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2 years ago

PLEASE HELP.<br> What is the value of X in the photo below? (please show work)

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3 years ago

A rectangular solid with a square base has a volume of 5832 cubic inches. (Let x represent the length of the sides of the square

Aleks04 [339]

Answer:

a) 18 in x 18 in x 18 in

b) $S = 1944\ in2$

Step-by-step explanation:

a) Let's call 's' the side of the square base and 'h' the height of the solid.

The surface area is given by the equation:

$S = 2s^2 + 4sh$

The volume of the solid is given by the equation:

$V = s^2h = 5832$

From the volume equation, we have that:

$h = 5832/s^2$

Then, using this value of h in the surface area equation, we have:

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To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:

$dS/ds = 4s - 23328/s^2 = 0$

$4s = 23328/s^2$

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$s^3 = 23328/4 = 5832$

$s = 18\ inches$

The height of the solid is:

$h = 5832/(18)^2 = 18\ inches$

b) The minimum surface area is:

$S = 2(18)^2 + 4(18)(18)$

$S = 1944\ in2$

8 0

3 years ago