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NeX [460]
3 years ago
11

If g(x) is the inverse of f(x) and f(x) = 4x+12, what is g(x)?

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

Answer:

D

Step-by-step explanation:

y=4x+12

x=4y+12

x-12=4y

1/4x-3

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A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed w
evablogger [386]

The water in the cylinder will be 1179π in³. Thus, 2nd answer choice is correct.

<h3>What is the volume of a right circular cylinder?</h3>

Suppose that the radius of the considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

V = \pi r^2 h \: \rm unit^3

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water.

A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water.

We have to find the volume of the empty cylinder and then the volume of the ball.

Subtract the latter from the former.

The volume of the cylinder = πr^2h.  

= π(9 in)²(15 in)

= 1215π in³

Volume of the ball =  (4/3)π(3 in)³

                                = 36π in³

Subtracting

= 1215π in³ - 36π in³

= 1179π in³  

Thus, 2nd answer choice is correct.

Learn more about the volume of cylinder here:

brainly.com/question/12763699

#SPJ1

7 0
2 years ago
Find the slope of this line: (15,7) (3,-2)<br><br> Help
Oliga [24]

Answer:

m=\frac{3}{4}

Step-by-step explanation:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(15,\:7\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)

m=\frac{-2-7}{3-15}

\mathrm{Refine}

m=\frac{3}{4}

5 0
3 years ago
Which composition of transformations below will map figure K onto figure S and then onto figure U?
Dmitrij [34]
Ok from the given the best choice to go with will be option B because its going from an up right and its going to flip and rotate.
3 0
3 years ago
Read 2 more answers
Ill mark you brainlist plz help if you put something random I will report you!
Tresset [83]

Answer:

35

Step-by-step explanation:

180-145=35

5 0
2 years ago
Read 2 more answers
Constructing a brick staircase: A brick staircase has a total of 30 steps. The bottom step requires 100 bricks. Each successive
galben [10]
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.

b) The total staircase will need: 100 + 98 + 96 + ... +  44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
7 0
3 years ago
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