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Sergeeva-Olga [200]
4 years ago
14

Solve the equation and state a reason for each step.

Mathematics
1 answer:
diamong [38]4 years ago
8 0

Step-by-step explanation:

2(4x+2)/2 =20÷2 (to remove to we do the opposite operation)

4x+2=10

4x+2-2=10-2( to remove +2 we do -2)

4x=8

4x/4=8/4

x=2

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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon
zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

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

Applying implicit differentiation, the rate of change is given by:

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

In this problem, we have that:

\frac{dV}{dt} = 500, r = 70

Hence the rate of change of the radius is given as follows:

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

19600\pi\frac{dr}{dt} = 500

\frac{dr}{dt} = \frac{500}{19600\pi}

\frac{dr}{dt} = 0.0081

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0
2 years ago
-11p - -110 - -19p - 3 = 16​
amid [387]
The answer is P= 80/19
hope this helps
6 0
3 years ago
How do you model the square root of 16
kotegsom [21]
\sqrt{16} =\sqrt{4*4}=\sqrt{4}*\sqrt{4}=2*2=4


4 0
3 years ago
Read 2 more answers
3+2x+x-1=2x+x-2<br> answer?
konstantin123 [22]
It’d be 2=-2 ... but then subtract two from both side and the answer is a null set. Also known as “no solution”..

Best of luck in your studies :)
-Nicky
8 0
3 years ago
Please help me with this question :) thanks.
inysia [295]

Answer:

Opposite sign

Step-by-step explanation:

You can find this because when a point is reflected across the x-axis, its y-coordinate changes its sign. The same is true when reflected across the y-axis. It's x coordinate changes its sign.

3 0
3 years ago
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