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3 years ago

Is 9.12 a rational number?

Mathematics

2 answers:

Iteru [2.4K]3 years ago

4 0

Yes, it is a terminating decimal.

ipn [44]3 years ago

3 0

Yep

9.12 is a terminating decimal, which means it is rational. It can also be represented as a ratio of two integers (912/100). An irrational number, on the other hand, cannot be represented as a ratio of two integers.

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Are 5 and -5 reciprocals?

Ghella [55]

Yes they are because they are different. Reciprocals is the opposite of a number

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Step-by-step explanation:

I figured this out by subtracting 68 - 47 = x.

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A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How

Novay_Z [31]

Answer:

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

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

Differentiate the above formula with respect to time.

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

Substitute the respective values in the above formula,

$3=4\pi 6^2\frac{dr}{dt}$

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The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

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$\frac{3}{256\pi}=\frac{dr}{dt}$

Thus, the radius is changing more rapidly when the diameter is 12 inches.

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3 years ago