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Alecsey [184]
3 years ago
9

What is the value 1 in 8,123476?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
4 0
If that is a decimal the 1 would be in the tenths. If it is a whole number it would be in the hundred thousands
natita [175]3 years ago
3 0

Answer:

100,000 or the hundred-thousands place. I hope this is what your looking for!

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Sabrina rode on a Ferris wheel at the state fair. The radius of the Ferris wheel was 136 feet.

Step-by-step explanation:

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The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm^3/s) when the diameter is 60
nexus9112 [7]

Answer:

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by the following equation:

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

In which r is the radius.

Implicit derivatives:

This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

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

The radius of a sphere is increasing at a rate of 4 mm/s.

This means that \frac{dr}{dt} = 4

How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?

This is \frac{dV}{dt} when r = \frac{d}{2} = \frac{60}{2} = 30. So

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

\frac{dV}{dt} = 4\pi*(30)^2*4

\frac{dV}{dt} = 1508

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

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3 years ago
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