3 years ago

Which statement is true?

Mathematics

1 answer:

Allisa [31]3 years ago

5 0

Answer: C

Step-by-step explanation:

fcbgxhjkl;'

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A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

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3 years ago

I need help with easy math please

Ivahew [28]

Answer:

1. 16

2. 12

3. 0

4. 17

5. 16

6. 4

7. 32

8. 36

9. 1/18

Step-by-step explanation:

7 0

3 years ago

Solve an equation x/17= -4

Rainbow [258]

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

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2 years ago

Let f and g be two functions whose second derivatives are defined. Then (f · g) '' = f · g '' + f '' · g. true or false?

Marianna [84]

I hope this helps you

8 0

2 years ago

Can you plz answer this for 10pt

Harrizon [31]

Round to the nearest thousands

8,276 = 8,000
2,451 = 2,000

8,000 + 2,000 = 10,000

answer
Maya traveled by plane about 10.000 miles

7 0

3 years ago