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3 years ago

Given a sphere with a radius of 5 cm, find its volume to the nearest whole number.

Mathematics

1 answer:

ehidna [41]3 years ago

5 0

Answer:

B - 523cm^3

Step-by-step explanation:

Volume of a sphere is

V = 4/3 * π * r^3

V - volume of the sphere

π - 3.142

r - radius of the sphere

We are provided with

π - 3.142

r - 5

Inserting this values to solve for the volume

V = 4/3 * π * r^3

V = 4/3 * 3.142 * 5^3

V = 1.33 * 3.142 * 125

V = 523.67 cm ^3

To the nearest whole number

V = 524 cm ^3

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Find the inverse of the function. Show work. <br> g(x)= - 3/x-2 +2

4vir4ik [10]

Answer:

$\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}$

Step-by-step explanation:

We are given the function:

$\displaystyle g(x)=-\frac{3}{x-2}+2$

Let's find the inverse of g.

Call y=g(x):

$\displaystyle y=-\frac{3}{x-2}+2$

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

$y(x-2)=-3+2(x-2)$

Operate:

$yx-2y=-3+2x-4$

Collect the x's to the left side and the rest to the right side of the equation:

$yx-2x=-3-4+2y$

Factor the left side and operate on the right side:

$x(y-2)=-7+2y$

Solve for x:

$\displaystyle x=\frac{-7+2y}{y-2}$

Interchange variables:

$\displaystyle y=\frac{-7+2x}{x-2}$

Call y as the inverse function:

$\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}$

5 0

3 years ago

Uhhh... what is the slope formula?

Viefleur [7K]

Answer:

uhh the slope formula is

To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). The equation used to calculate the slope from two points is: On a graph, this can be represented as: There are three steps in calculating the slope of a straight line when you are not given its equation

7 0

3 years ago

Read 2 more answers

4z - 8 = 20<br> Step by step

AysviL [449]

Answer:

z = 7

Step-by-step explanation:

4z - 8 = 20

Add 8 to each side

4z - 8+8 = 20+8

4z = 28