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Anna71 [15]
3 years ago
5

For what value of b does (1/12)^-2b+2=12?

Mathematics
2 answers:
Georgia [21]3 years ago
8 0
If b is not part of the exponent then 5/72
Andrej [43]3 years ago
6 0
The value of b is 1/2.
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Ilia_Sergeevich [38]

Answer:

The rate of change of the area of the circle is  approximately -490.09 \ m^2/min.

Step-by-step explanation:

Given:

\frac{dr}{dt} = -6.5 \ m/min

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We need to find the rate of change of the area of the circle at that instant.

Solution:

Now we know that;

Area of the circle is given by π times square of the radius.

framing in equation form we get;

A= \pi r^2

to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.

\frac{dA}{dt}=\frac{d(\pi r^2)}{dt}\\\\\frac{dA}{dt}= 2\pi r \frac{dr}{dt}

Substituting the given values we get;

\frac{dA}{dt}= 2\times \pi \times 12 \times -6.5\\\\\frac{dA}{dt}\approx -490.09 \ m^2/min

Hence The rate of change of the area of the circle is  approximately -490.09 \ m^2/min.

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Step-by-step explanation:

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On a bicycle trail, the city is painting arrows like the one shown below:
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Answer:

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