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2 years ago

8

In a survey, 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary.

How many students were in the survey?

1 answer:

Rasek [7]2 years ago

4 0

The answer is 25000.

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so equation: 8x=28
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2 years ago

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3 years ago

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]

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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