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Brut [27]
3 years ago
11

1 more than twice as many CDs is 17

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

original number is 8

Step-by-step explanation:

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Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second. How fast is the radius increasing after 2 minute
Arisa [49]

Answer:

The rate of change of radius is 0.0530 ft/sec.

Step-by-step explanation:

Given : Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.

To find : How fast is the radius increasing after 2 minutes?

Solution :

The volume of the sphere is V=\frac{4}{3}\pi r^3

Differentiating w.r.t. r,

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

We have given, Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.

i.e. \frac{dV}{dt}=3

Integrate w.r.t. t,

V=3t+C

Assuming V=0 when  t=0 then C=0

So, \frac{4}{3}\pi r^3=3t

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

r=\sqrt[3]{\frac{t}{4\pi}}

Now, we apply chain rule

i.e.  \frac{dV}{dt}=\frac{dV}{dr}\cdot \frac{dr}{dt}

3=4\pi(\frac{t}{4\pi})^{\frac{2}{3}}\cdot \frac{dr}{dt}

The radius increasing after 2 minutes i.e. at t=2\times 60=120

3=4\pi(\frac{120}{4\pi})^{\frac{2}{3}})\cdot \frac{dr}{dt}

3=56.56\cdot \frac{dr}{dt}

\frac{dr}{dt}=\frac{3}{56.56}

\frac{dr}{dt}=0.0530

Therefore, the rate of change of radius is 0.0530 ft/sec.

8 0
3 years ago
Help with this algebra question please <br> thank you
konstantin123 [22]
The average rate of change is just change in y divided by change in x.

(f(4)-f(-1))/(4--1)

(16-8-4-1-2+4)/5

5/5

1

So the average rate of change is just 1.
7 0
3 years ago
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What is the radius of a circle when the diameter is 70 m?​
emmainna [20.7K]

Answer:

35 m

Step-by-step explanation:

4 0
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What The definition of dilration in Math
Hoochie [10]

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. ... A dilation stretches or shrinks the original figure. • A description of a dilation includes the scale factor (or ratio) and the center of the dilation

3 0
3 years ago
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Someone please help me, this test determines if I pass or not.
Butoxors [25]

Answer:

Your answer is C :)

4 0
3 years ago
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