A cone has a circular base radius of 24cm the height is 30cm what is the volume of the cone?

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

So

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

8 0

3 years ago

Which graph represents the function y = 2x – 4? A coordinate plane with a line passing through (negative 4, 0) and (0, 2). A coo

VARVARA [1.3K]

Answer:

The third option: "A coordinate plane with a line passing through (0, negative 4) and (2, 0)."

Step-by-step explanation:

Use the equation defined by the function: y = 2x - 4 to check the (x, y) values they give you. If they both render true mathematical statements, those are indeed points on the plane that belong to the given line.

For the third case; the pairs (0,-4) and (2,0), both satisfy the equation of the line that is given.

For (0,-4): y = 2x - 4 becomes:

$(-4)=2(0)-4\\-4=0-4\\-4=-4$ which is a TRUE statement

For (2,0): y = 2x - 4 becomes:

$(0)=2(2)-4\\0=4-4\\0=0$ which is also a TRUE statement.

This option is the only one that verifies both given points as truly being part of the given line.

8 0

2 years ago

Read 2 more answers

3 QUESTIONS WILL GIVE BRAINLIEST<br> (50 POINTS) PLEASE HELP

grandymaker [24]

Answer:

<h2>Q 11. A and E</h2><h2>Q 12. A</h2><h2>Q 13. 4/3 cups of sugar</h2>

Step-by-step explanation:

The points (1, 3) and (15, 45) are proportional to point (3, 9) since they correspond with each other so if you multiply the point (1, 3) by a factor of 3, it would be (3, 9). If you divided the point (15, 45) by a factor of 5, it would be (3, 9).

In this equation, 2.95 represents the price of the gallons since it is being multipied by g, or the number of gallons.

If you were to multiply 2/3 cup of sugar and 1/2 cup of flour by 2, I would get 4/3 cups of sugar and 1 cup of flour. Why did I do this? Well, she uses 1 cup of flour so you can divded 1 by 1/2 is which 2.

Hope this helps, you can ask me why certain choices were not correct if you'd like.

4 0

2 years ago

Read 2 more answers

Help!!! i dont know what im doing!!

Sati [7]

Answer:

B is incorrect because you could set them equal to each other

6 0

3 years ago

Find the slope of the lines that go through the following points.

kumpel [21]