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damaskus [11]
3 years ago
9

A cone has radius 3.8 cm and height 7.6 cm. The radius and the height are doubled. Which of the following describes the effect o

n the volume?
Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0

Answer:

The volume is multiplied by 8.

Step-by-step explanation:

The volume of a cone with a radius of 3.8 and a height of 7.6 is 114.92. Now let’s double them, the results come out to be 919.39, we divide these by each other and we get roughly 8 when you round. Therefore, your answer is 8.

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Delicious77 [7]

Answer:

Restudy and try to take it again.

Step-by-step explanation:

Try watching math videos and do extra studying on the areas you missed on your last attempt.

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3 years ago
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Business/multivariable calc question<br> help needed asap!!!!
UkoKoshka [18]

Answer:

There is a <u>   min   </u>  value of <u>   800   </u> located at (x,y) = <u>   (16, 12)   </u>

==========================================================

Explanation:

Let's solve the second equation for y

4x+3y = 100

3y = 100-4x

y = (100-4x)/3

We'll plug that into the first equation

f(x,y) = 2x^2+2y^2

g(x) = 2x^2+2((100-4x)/3)^2

g(x) = 2x^2+(2/9)*(100-4x)^2

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

This graphs a parabola that opens upward, due to the positive leading coefficient. This g(x) curve has its vertex point at the minimum.

Apply the derivative to help find the minimum

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

g ' (x) = 4x+(2/9)*(-800+32x)

------------------------

Set the derivative function equal to 0 and solve for x

g ' (x) = 0

4x+(2/9)*(-800+32x) = 0

4x+(2/9)*(-800)+(2/9)*(32x) = 0

4x-1600/9+(64/9)x = 0

9(4x-1600/9+(64/9)x) = 9*0

36x-1600+64x = 0

100x-1600 = 0

100x = 1600

x = 1600/100

x = 16

Use this x value to find y

y = (100-4x)/3

y = (100-4*16)/3

y = (100-64)/3

y = 36/3

y = 12

-----------------------

Therefore, (x,y) = (16,12) leads to the largest value of f(x,y) = 2x^2+2y^2

That smallest f(x,y) value is...

f(x,y) = 2x^2+2y^2

f(16,12) = 2*16^2+2*12^2

f(16,12) = 800

8 0
3 years ago
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ale4655 [162]

Answer:

x = 3 or y = -3

Step-by-step explanation:

To find x, substitute y with a 0.

0=x-3. Minus the x on both sides and x will equal 3

To find y, substitute x with a 0.

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Given:

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