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2 years ago

Find the value of x. Round to the nearest tenth.

Mathematics

1 answer:

joja [24]2 years ago

7 0

Answer:

Step-by-step explanation:

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The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with

allochka39001 [22]

Answer:

$V = \frac{99}{7} x^{9}y^{-6}$

Step-by-step explanation:

Given

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

Required

Find V when

$r = \frac{3}{2}x^3y^{-2$

Substitute $\frac{3}{2}x^3y^{-2$ for r in $V = \frac{4}{3}\pi r^3$

$V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3$

Open bracket

$V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}$

$V = \frac{4}{3}\pi * \frac{27}{8} * x^{9}y^{-6}$

Simplify the fractions

$V = \pi * \frac{9}{2} * x^{9}y^{-6}$

Let

$\pi = \frac{22}{7}$

So:

$V = \frac{22}{7} * \frac{9}{2} * x^{9}y^{-6}$

$V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}$

$V = \frac{99}{7} * x^{9}y^{-6}$

$V = \frac{99}{7} x^{9}y^{-6}$

6 0

3 years ago

What are the following numbers writen as powers? 243

puteri [66]

Answer:

$243=3^5$

Step-by-step explanation:

We have to write 243 as a power of some number.

So, if we factorize 243 we get,

243 = 3 × 3 × 3 × 3 × 3

Therefore, we can write 243 as a power of 3.

No other number can be written in powers of 243 because it do not contain any other factor than 3.

Hence, 243 can be written as :

$243=3^5$

6 0

3 years ago

Find the area of the kite

Elis [28]

$d_1=9.2m+9.2m=18.4m\\d_2=6.9m+13.8m=20.7m\\\\Area\ of\ the\ kite:A=\frac{d_1\times d_2}{2}\\\\A=\frac{18.4\times20.7}{2}=9.2\times20.7=190.44\ (m^2)$

6 0

3 years ago

Read 2 more answers

Given the sequence -2,-8/3,-10/3,-4,-14/3 find the recursive formula

balu736 [363]

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

3 0

3 years ago

2. You want to spin yellow. Which spinner should you spin? Explain,

Furkat [3]

Answer:

sppiner A

Step-by-step explanation:

5 0

3 years ago