3 years ago

Find the range of values:

Mathematics

1 answer:

Valentin [98]3 years ago

6 0

Answer:

9-10cm

Step-by-step explanation:

You have to find out all the infermation

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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

9. PART A: Which of the following best summarizes

ivanzaharov [21]

Answer:

D Stanton encourages the audience to spread the word for their cause

Step-by-step explanation:

I just know I have done the test and it makes the most sense. :)

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2 years ago

The work of a student to solve a set of equations is shown below: Equation 1: x + 2y = 10 Equation 2: 2x + 5y = 15 Step 1: −2(x

DIA [1.3K]

−2x − 4y = −10 2x + 5y = 15

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3 years ago

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The height of a building is 943 feet which is about 481 feet higher than another building. What is the height of the second buil

pshichka [43]

Answer: 462

Step-by-step explanation:

943-481

Answer=462

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I believe the correct answer should be the second option. This makes the most sense given the coordinates.

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3 years ago