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3 years ago

Please help... What is the exact volume of the sphere?

Mathematics

1 answer:

Stels [109]3 years ago

5 0

Answer:

$\large\boxed{V=366.16\pi\ ft^3}$

Step-by-step explanation:

$\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\\text{We have}\ R=6.5\ ft.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6.5)^3=\dfrac{4}{3}\pi(274.625)=\dfrac{1098.5}{3}\pi\approx366.16\pi\ ft^3$

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Given r(x) = x square +2x -1 and s(x) = x-1 what is the value of r(s(3))

Amanda [17]

Answer:

$r(s(3))=7$

Step-by-step explanation:

we have

$r(x)=x^{2} +2x-1$

$s(x)=x-1$

we know that

The function composition is equal to

(r ∘ s )(x) = r(s(x))

In the function r(x) substitute the variable x by the function s(x)

$r(s(x))=(x-1)^{2} +2(x-1)-1$

For x=3

substitute the value of x=3 in the function composition

$r(s(3))=(3-1)^{2} +2(3-1)-1$

$r(s(3))=(2)^{2} +2(2)-1$

$r(s(3))=4+4-1$

$r(s(3))=7$

3 0

3 years ago

PLEASE HELP<br> ANSWER SERIOUSLY

alex41 [277]

Answer:

raise a product to a power.

you first simplify the parenthesis in the numerator by raising 2 by the power of three and multiplying the exponents.

i suck at explaining, but after the first step the expression looks like:

$(\frac{8r^{6}t^{3} }{4t^{2} })^{2}$

Step-by-step explanation:

5 0

3 years ago

Which of these describes the equation –18x + 9y = –416?

Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

$y = mx+b$

where

$m$ is the slope

$b$ is the y-intercept

<u>Important Tip:</u>

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

$18x + 9y = -416$

subtract 18x from both sides

$18x+9y-18x = - 18x-416$

simplify

$9y = -18x - 416$

divide both sides by 9

$y=-2x-\frac{416}{9}$

Now, comparing the equation $y=-2x-\frac{416}{9}$ with a slop-intercept form of linear equation

The slope m = -2

The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

From the attached graph, is also clear that the graph of the equation $y=-2x-\frac{416}{9}$ is a straight line.

Hence, option D is correct.

3 0

3 years ago

Read 2 more answers

Tony had an equal number of cranberry bars and walnut bars. He gave away 66 cranberry bars, he then had 4 times as many walnut b

Korolek [52]

Answer:

W=88

Step-by-step explanation:

4*(c-66)=c

4c-66*4=c

3c=66*4

c=22*4

c=88

w=88

4 0

3 years ago

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What are the coordinates of the midpoint of segment AB with the endpoint A(-3,4) and (5,6)

gayaneshka [121]

Answer:

(1,5)

Step-by-step explanation:

You use the midpoint formula to solve this problem

The midpoint formula:

To solve for x: (x1+x2)÷2

To solve for y: (y1+y2)÷2

5 0

3 years ago