Find the volume of the prism.

Please help hurry

14 ft
32 ft
3 ft
V = 12 ft
Write your answer as a mixed number that is simplified
completely, Enter the number that goes in the green box
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Answer:

Step-by-step explanation:

Given:

  [tex]f(x)=\dfrac{1}{8}x^3\\\\g(x)=2x^{\frac{1}{3}}[/tex]

We find that ...

  [tex]f(g(x))=\dfrac{1}{8}(2x^{\frac{1}{3}})^3=\dfrac{1}{8}(2^3)(x^{\frac{3}{3}})=\dfrac{8}{8}x\\\\\boxed{f(g(x))=x}\\\\g(f(x))=2\left(\dfrac{1}{8}x^3\right)^{\frac{1}{3}}=2\left(\dfrac{1}{8^{\frac{1}{3}}}\right)(x^{\frac{3}{3}})=\dfrac{2}{2}x\\\\\boxed{g(f(x))=x}[/tex]

__

So, the statements that apply are ...

Answer:

A, D, E

   The simplified expression for f(g(x)) is x.

   The simplified expression for g(f(x)) is x.

   The functions are inverses of each other.

Step-by-step explanation:

Got it right on edg :)

Answer:

Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays.

Step-by-step explanation:

A biconditional statement is one that must fulfill the two conditions of the statement for it to be true. The two required conditions in the statement are always connected by if and only if.

The required statement is: Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays

Vertical angles are equal and opposite. Therefore for the biconditional statement to be true, the angles should be vertical and their sides must form two pairs of opposite rays.

Answer:

its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total events = 75

A + B + C = 75  --------------(I)

State A had hosted the sporting event 9 more times then state C.

A = C + 9 ---------------------(II)

Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.

A + C = 4B + 5  ---------------------(III)

Substitute A = C + 9 in (III)

C + 9 + C = 4B + 5

   2C + 4 = 4B  + 5

        2C  = 4B + 5 - 9

       2C  = 4B - 4

Divide the whole equation by 2

   2C/2  = 4B/2  - 4/2

        C = 2B  - 2 -------------(a)

Plugin the C = 2B - 2 in (II)

A = C +  9

A = 2B - 2 + 9

A = 2B + 7 ------------------(b)

Plugin the value of A & C from (a) & (b) in equation (I)

A + B + C = 75

2B + 7 + B + 2B - 2 = 75

Add the like terms

2B + B + 2B + 7 - 2 = 75

5B + 5 = 75

5B = 75 - 5

5B = 70

B = 70/5

B = 14

Plug in B value in equation (a)

C = 2B - 2

C = 2*14 -2

  = 28 - 2

C = 26

Plugin B value in equation (b)

A = 2B + 7

  = 2*14 + 7

 = 28 + 7

A = 35

State A has hosted 35 times

State B has hosted  14 times

State C has hosted 26 times

Answer: The answer is skew!

Step-by-step explanation:h

When lines are not parallel, and they do not intersect, such lines are said to be skewed.

Line AC and RS are skew.

From the diagram, we have two planes.

Line AC is on plane x, while line RS is on plane y

Plane x and plane y are not parallel;

So lines AC and RS are not parallel.

Also, both lines are not parallel.

Using the condition of skewness stated above, we can conclude that line AC and RS are skew.

Read more about skewness at:

https://brainly.com/question/1995934

Answer:

3 hours

Step-by-step explanation:

49-28=21

21/7=3

Answer:

The probability that all ten of the students order Japanese pan noodles is 0.0001048576.

Step-by-step explanation:

Note: See the attached Microsoft word file for the calculation.

Answer:

  The initial values of the two functions are different and the rates of change of the two functions are the same

Step-by-step explanation:

In order for output values to always be different, the two linear functions must describe parallel lines. That means the rates of change are the same, but the initial values are different.

Answer:

probably too late but the answer is B

Step-by-step explanation:

Answer:

where

is

the

attachment

bruv?

Answer:

We wouldn't know because we have no information on the marbles.

Step-by-step explanation:

Answer:

-2°F

Step-by-step explanation:

The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.

-17 + 15 = -2°F

Answer:

you just estimate it. which means pick a number that you think could be the right answer. estimates can never be wrong

Answer:

1. D

2. AE (with a line above the 2 letters)

3. AC (with an arrowpointing to the right above the 2 letters)

4. B, A, and C

Answer:

45

Step-by-step explanation:

Good luck!

Answer:

I hope this helps tell me if I'm correct

Answer:

the answer is 7 because the square of 49 is 7 and it asks for the side to equal it.

Step-by-step explanation:

Answer:

A. 0.0746

Step-by-step explanation:

Because it is in the thousandths place

Answer: y = - 1

Step-by-step explanation:

Answer:

y = -1

Step-by-step explanation:

-16y - 7y + -5 = 18

~combine like terms

-23y + (-5) = 18

~add 5 to both sides to get -23y by itself

-23y = 23

~divide by 23 on both sides to get just y by itself

-1 = y

Hope this helps!!

Please mark as brainliest, i need it to get to next lvl <3

Answer:

x = 13

Step-by-step explanation:

a^2 + b^2 = c^2

5 = a     12 = b

5^2 + 12^2 = c^2

25 + 144 = c^2

c^2 = 169

square root of 169 = 13

Answer:

y= -4x-7 or 4x+y= -7

Step-by-step explanation:

we know y=mx+c

given,

m=-4 c=-7

the equation y= -4x-7 or 4x+y= -7

thank u

Answer:

y=-4x-7

Step-by-step explanation:

Hi there!

We are given that the slope of a line is -4, and the y intercept of this same line is -7

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept, hence the name

As we are given the values for both the slope and the y intercept of this line, we can immediately substitute those values into the equation

Let's start with the slope; substitute -4 as m in the equation

y=-4x+b

Now with the y intercept; substitute -7 as b into the equation

y = -4x - 7

Hope this helps!

See more on this topic here: https://brainly.com/question/22607472

Similar triangles have a scale factor that determine the length of each side.

15 / 7.5 = 2

The scale factor = 2

17 / 2 = 8.5

y = 8.5

Answer:

x=2

Step-by-step explanation:

use distributive property for the first part the solve like usual

hope this helped

6(2x -3) - 8 = -2 (remove the parantheses)

12x - 18 - 8 = -2 (calculate)

12x - 26 = -2 (move the constant to the right)

12x = -2 + 26 (calculate)

12x = 24 (divide both sides)

x = 2

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-1 , 2) and the slope is - 2

The equation of the line is

We have the final answer as

Hope this helps you

x = - 6

y = - 2

-3x + 5y = 8  | ×(-2)

-2x + 7 y = -2​ | ×3

6x - 10y = - 16

- 6x + 21y = - 6

add

6x - 6x - 10y + 21y = - 16 - 6

11y = - 22

y = - 22 : 11

y = - 2

replace y

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

- 2x - 14 = - 2

- 14 + 2 = 2x

2x = - 12

x = - 12 : 2

x = - 6

Answer:

8.

Step-by-step explanation:

-8+8=0

Answer:

B

Step-by-step explanation:

hope you get the best grade

Answer:

469

Step-by-step explanation:

Substitute -5 and -3 into the equation:

-7(8 (-5) + 9 (-3)

-7(-40 - 27)

-7(-67)

+469

Answer:

3 6/7

Step-by-step explanation:

divide 6/7 by 2/9 and that equals 3 6/7 and since you cant simplify that the answer stays the same which the answer is 3 6/7