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3 years ago

What is the value of x in the expression

Mathematics

1 answer:

kvv77 [185]3 years ago

8 0

Answer:

-12

Step-by-step explanation:

$7^{-9} * 7^{-3} = 7^{(-9)+(-3)} = 7^{-12}$

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Simplify the expression

Naily [24]

Answer:

Step-by-step explanation:

3 sqrt(20) / sqrt(5)

We know that sqrt(a) /sqrt(b) = sqrt(a/b)

3 sqrt(20/5)

3 sqrt(4)

3 *2

4 0

3 years ago

Read 2 more answers

Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r equals 40.05 ft (Upper V (r )equal

alexgriva [62]

Answer:

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Step-by-step explanation:

The volume of the sphere ( $V$ ), measured in cubic feet, is represented by the following formula:

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

Where $r$ is the radius of the sphere, measured in feet.

The change in volume is obtained by means of definition of total difference:

$\Delta V = \frac{\partial V}{\partial r}\Delta r$

The derivative of the volume as a function of radius is:

$\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}$

Then, the change in volume is expanded:

$\Delta V = 4\pi \cdot r^{2}\cdot \Delta r$

If $r = 40\,ft$ and $\Delta r = 40\,ft-40.05\,ft = 0.05\,ft$ , the change in the volume of the sphere is approximately:

$\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)$

$\Delta V \approx 1005.310\,ft^{3}$

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

7 0

3 years ago

There are 6 horses in a race. In how many ways can the first three positions of the order of the finish occur? (Assume there are

timurjin [86]

$6\cdot5\cdot4=120$

8 0

3 years ago

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42,000 as a multipul of a power of 10

MrRa [10]

Answer:

$4.2 \times {10}^{4}$

Step-by-step explanation:

$42000 = 4.2000 \times \times {10}^{4} \\ = 4.2 \times {10}^{4}$

3 0

3 years ago

A line passes through (−1, 5) and (1, 3)

ikadub [295]

I hope this helps you

8 0

3 years ago