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3 years ago

A sphere has a surface area of 36 pi. find the volume of the sphere

Mathematics

1 answer:

Vesna [10]3 years ago

3 0

V ≈ 20.31

$V= \frac{A^{3/2} }{6 \sqrt{ \pi } } = \frac{36^{3/2} }{6 \sqrt{ \pi } } = 20.31083$

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If f (x) = x + 7 and g (x) = StartFraction 1 Over x minus 13 EndFraction, what is the domain of (f circle g) (x)?

Rashid [163]

Answer:

R-{13}

Step-by-step explanation:

We are given that

$f(x)=x+7$

$g(x)=\frac{1}{x-13}$

We have to find the domain of fog(x).

$fog(x)=f(g(x))$

$fog(x)=f(\frac{1}{x-13})$

$fog(x)=\frac{1}{x-13}+7=\frac{1+7x-91}{x-13}=\frac{7x-90}{x-13}$

Domain of f(x)=R

Because it is linear function.

Domain of g(x)=R-{13}

Because the g(x) is not defined at x=13

fog(x) is not defined at x=13

Therefore, domain of fog(x)=R-{13}

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3 years ago

Read 2 more answers

Select the sets that are not functions.

Temka [501]

D and E are the ones that aren’t functions because they use the x-values more then once

5 0

3 years ago

Please answer fasttt

-BARSIC- [3]

Answer:

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Step-by-step explanation:

75 lb / 10 cu ft = 7.5 lb/cu ft

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3 years ago

What is the nth term rule of the linear sequence below? -4,-1,2,5,8,...

storchak [24]

Answer:

The nth term of the given sequence tₙ = 3 n - 7

Step-by-step explanation:

Given sequence - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

The nth term of given sequence

$t _{n} = a + ( n-1 ) d$

$= -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7$

Final answer:-

The nth term of the given sequence tₙ = 3 n - 7

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3 years ago

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grandymaker [24]

Answer:

240,000 AUD to USD = 161,924.79 US Dollars or 150,000 USD to AUD = 222,316.63 Australian Dollars

Step-by-step explanation:

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3 years ago