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2 years ago

2times 5 to the power of 2

Mathematics

1 answer:

Bumek [7]2 years ago

3 0

You do 2(5)^2 and the answer is 50

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A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

$V = \frac{\pi}{3}r^2h$

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

3 0

2 years ago

Solve the equation 9=m-4

Vedmedyk [2.9K]

9=m-4

9+4=m

13=m

9=13-4

9=9

I hope this answer helped you!!! Thank you!!!

4 0

2 years ago

Read 2 more answers

The slopes of the perpendicular lines are ____.

Veseljchak [2.6K]

Answer:

a) negative reciprocals

Step-by-step explanation:

8 0

2 years ago

How many are 1 raised to 5 ???

Korolek [52]

Answer: 1.

Step-by-step explanation: 1^5 is really just 1, 5 times.

1*1*1*1*=1

6 0

2 years ago

I need some help with this question

vitfil [10]

(0,7) would be located on the y axis

4 0

2 years ago