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2 years ago

5. What percent of students are between 5’5” and 5’ 11”?

Mathematics

2 answers:

bezimeni [28]2 years ago

8 0

Answer:

97%

Step-by-step explanation:

Bezzdna [24]2 years ago

5 0

Answer:

the answer is 5 hope this helps have a great day

Step-by-step explanation:

5-4(2-x)=17

5-4(-x+2)=17

5+4x-8=17

-3+4x=17

4x-3=17

4x-3+3=17+3

4x=20

4x/4=20/4

x=5

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The volume of a spherical balloon is increasing at the constant rate of 8 cubic feet per minute. How fast is the radius incresin

OverLord2011 [107]

Answer:

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Step-by-step explanation:

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The rate of change of radius at this moment and rate of change of surface area at this moment?

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First of all, let us have a look at the formula:

$1.\ V = \dfrac{4}{3}\pi r^3\\2.\ A =4\pi r^2$

Now, differentiating the volume and area, we get:

$\dfrac{dV}{dt} = \dfrac{4}{3}\times 3 \pi r^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dV}{dt} = 4 \pi r^2 \dfrac{dr}{dt}$

$\dfrac{dA}{dt} = 4\pi \times 2 r \dfrac{dr}{dt}\\\Rightarrow \dfrac{dA}{dt} = 8\pi r \dfrac{dr}{dt}$

$\dfrac{dV}{dt} = 8 = 4\pi r^2 \dfrac{dr}{dt}\\\Rightarrow 8 = 4\times 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow 2 = 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dr}{dt} = 0.0064\ ft/sec$

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