Pls help 10 pts t the first person

goblinko [34]

<h3>Answer: 36pi (choice b)</h3>

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Explanation:

Let x = length of side BC

This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD

If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly $\sqrt{12-x}$

This is the radius of the cylinder

The volume of a cylinder is $V = \pi*r^2*h$

Plug in the radius and height mentioned to get this function in terms of x

$V = \pi*\left(\sqrt{12-x} \ \right)^2*x$

That simplifies to

$V = \pi(12-x)x$

or

$V = \pi(12x-x^2)$

Ignore the pi portion for now.

We wish to maximize the function f(x) = 12x-x^2

Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)

This means x = 6 leads to the largest f(x) value being 36.

Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.

6 0

2 years ago

Determine the mean, median, and more for the given data in each graph.

77julia77 [94]

5 is you median
4 is your mean

6 0

4 years ago

Jonah’s dog walking service went so well that he decided to do it again the following summer. This summer, however, Jonah will o

SOVA2 [1]

Answer:

The correct options are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but keep the same rate of $3 per dog

Step-by-step explanation:

The parameters given are;

Jonah is hoping to earn $200 from 8 weeks of dog walking

Therefore, Jonah has to make $200/8 per week or $25 per week

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

With the above strategy, Jonah will make $5 × 5 = $25 per week which will amount to $25 × 8 = $200 in 8 weeks total

2) Walking 5 dogs per week at $4 per dog = $20 per week and 8 × $20 = $160 in 8 weeks

3) Walking 8 dogs per week at $3 per dog = $24 per week and 8×$24 = $192 in 8 weeks

4) Double the amount of dogs walked per week to 5×2 or 10 dogs per week but keep the same rate of $3 per dog would give him 10 × $3 = $30 per week and 8 × $30 = $240 in 8 weeks

5) Double the amount of dogs walked per week to 5×2 or 10 dogs per week and cut his rate to $2 per dog would give him 10 × $2 = $20 per week and 8 × $20 = $160 in 8 weeks

Therefore, the strategies that would allow Jonah to reach his $200 goal in 8 weeks are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but keep the same rate of $3 per dog.

7 0

4 years ago

A video game cost $34.90 plus 10% tax. How much will you pay in all for the game?

nignag [31]

Answer:$38.39

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper

skad [1K]

Here is the solution based on the given problem above.
Given: Area of the piece of paper = 84 square inches
Width = 10 1/2 or 10.5 inches long
? = length of the piece of paper
To find the area of an object, the formula would be A= L x W
Now, let's substitute the given values above
84in2 = L(10.5in)
Now, divide both sides with 10.5 and we get 8.
L = 8 inches.
Therefore, the length of the paper is 8 inches.
Hope this solution helps.

4 0

3 years ago