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Novay_Z [31]
3 years ago
10

Please help i will give brain

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0
The answer is c. Good luck
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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon
zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

V = \frac{4\pi r^3}{3}

Applying implicit differentiation, the rate of change is given by:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

In this problem, we have that:

\frac{dV}{dt} = 500, r = 70

Hence the rate of change of the radius is given as follows:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

19600\pi\frac{dr}{dt} = 500

\frac{dr}{dt} = \frac{500}{19600\pi}

\frac{dr}{dt} = 0.0081

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0
1 year ago
A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the peng
MatroZZZ [7]

Answer:

Step-by-step explanation:

21 feet below is written as -21

9 feet up is written as +9

So we have -21 + 9 = -12 or 12 feet below sea level

6 0
3 years ago
Read 2 more answers
A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks s
OLga [1]

Step-by-step explanation:

Total books = 368.

Sociology books = 92.

Psychology books = 3 times sociology books

= 3 x 92 = 276

Total = 276 + 92 = 368

3 0
3 years ago
(brainliest)Armando found the volume of the figure below by using the steps shown. A rectangular prism with a length of 18 inche
Shkiper50 [21]

Answer:  Armando used the wrong dimensions for the triangular prism.

Step-by-step explanation:

Hi, to answer this question we have to analyze Armando’s work.

Total Volume = Volume of rectangular prism + volume of triangular prism  

Total Volume = 5 (8) (18) + one-half (6) (18) (8)  

Total Volume= 720 + 432  

Total volume = 1,152 cubic inches.

He made a mistake in the second step, where used h=8 for the triangular prism instead of h= 5 . (h=height)

The correct way to solve this is.

Total Volume = 5 (8) (18) + one-half (6) (18) (5)  

Total Volume= 720 + 270

Total volume = 990 cubic inches.

7 0
3 years ago
Read 2 more answers
Pls helpp me on this
Crank

Answer:8

Step-by-step explanation:

When you round it depends on what number it is.

So for 7.8 it is closer to eight not seven

8 0
2 years ago
Read 2 more answers
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