what is the volume of the following rectangular prism?

Answer:

18

Step-by-step explanation:

f(x)=2x and g(x)=x2+3, find (g ∘ f)(−3)

f(x)= 2(-3)= -6

g(x)= (-3)(2) +3= -6+3= -3

(g ∘ f) = -6 x -3= 18

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

k*A + j*C = k*B + j*D

Now we have the equations:

-x  - y = 11

4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x  - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

-4*x - 4*y = 44

Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

-4*x - 4*y + 4*x - 5*y = 54

-9*y = 54

So we combined the equations and now ended with an equation that is really easy to solve for y.

y = 54/-9 = -6

Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

-x - y = 11

-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

Answer:

86π

Step-by-step explanation:

A=2πrh+2πr2

A=2π*16+2π*4*7

A=32π+54π

A=86π

Hope this helps :)

Answer:

9 tens will be 90 (9x10=90) so there will be 90 ones

Step-by-step explanation:

I think that's what you are asking right?

Answer:

you are 100 percent correct

Answer:

Water is added to liquid isopropanol (a polar liquid) to form a solution of rubbing alcohol. Describe what happens on the molecular level as the water dissolves in the isopropanol.

Step-by-step explanation:

Answer:

Can you please translate this into English so I can help you?

Step-by-step explanation:

Answer:

B. x² - 13x + 42

Step-by-step explanation:

(1, -4)

You could just count the units

Answer:

47

Step-by-step explanation:

the sum of all the interior angles in a triangle is 180.

25+108=133

180-133=47

Answer:

y = -2/3x + 5 1/3

Step-by-step explanation:

Find the slope:

4 - 6 / 2 - (-1) = -2/3

Put it in point-slope form:

y - 6 = -2/3(x + 1)

rearrange:

y - 6 = -2/3x - 2/3

y = -2/3x + 5 1/3

The question is incomplete, here is the complete question.

Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers. The cost of each lunch is $6.25. There is also a one-time delivery fee of $3.50. What expression could Mr. Jackson use to find the cost of ordering n lunches

Answer:

6.25x + 3.50

Step-by-step explanation:

Mr. Jackon orders lunch for his coworkers and himself at the cost of $6.25

The delivery fee is $3.50

Therefore the expression that can be used to find the cost of ordering lunch is

n = 6.25(x) + 3.50

n= 6.25x + 3.50

Answer:

-11/10 (fraction) or -1.1 (decimal)

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1)

x1 = 7

x2 = -3

y1 = -7

y2 = 4

So, it’s: (4 - (-7))/(-3-7)

= (4+7)/(-3-7)

= (11)/(-10)

= -11/10 or -1.1

I hope this helps!

9514 1404 393

Answer:

  101

Step-by-step explanation:

  1² + 10² = 1 + 100 = 101 . . . sum of 1st and 10th square numbers

Answer:101

Step-by-step explanation:yw

Answer: 15.1

Step-by-step explanation:

15.2

- 0.1

15.1

Answer:

5

Step-by-step explanation:

Answer:

B.-4x^2-2x+6.

Step-by-step explanation:

=2x^2+4x-6x^2+9-6x-3.

=2x^2-6x^2+4x-6x+9-3.

=-4x^2-2x+6.

Answer:

110

Step-by-step explanation:

y = 11/6x where x is in minutes

there are 60 minutes in an hour

plug in 60 as x

11/6 *60 = 11*10 = 110

Answer:17

Step-by-step explanation:

Answer:

Equation: y = 8x + 56

After 5 minutes, the volume of the water was 96 gallons

Step-by-step explanation:

Use y = mx + b to create the linear equation, where m is the slope and b is the y intercept.

Since the water flows in at 8 gallons per minute, 8 will be the slope. The variable x will represent the number of minutes.

There are already 56 gallons of water in the tank, so b will be 56.

Plug in these values into the equation:

y = 8x + 56

So, the linear equation is y = 8x + 56

Using this, plug in 5 as x to find the volume of the water in the sink after 5 minutes:

y = 8x + 56

y = 8(5) + 56

y = 40 + 56

y = 96

So, after 5 minutes, the volume of the water was 96 gallons

Answer:

Step-by-step explanation:

Given that:

Distance to friends's house = 1.8 miles

Time taken = 12 minutes

Since the rate is constant :

The rate Is related to distance and time :

The two variable equation which represents the equation is :

Speed = Distance / time

Answer:

10 apples

Step-by-step explanation:

We can write a ratio to solve

3 oranges     15 oranges

--------------- = -----------------

2 apples           x apples

Using cross products

3x = 2 * 15

3x = 30

Divide by 3 on each side

3x/3 = 30/3

x = 10

Answer:

He can expect to sell 10 apples

Answer:

21

Step-by-step explanation:

83+22=105

105/5=21

Answer:

1.41421

Step-by-step explanation:

Answer: 7(x + 5) = 2

Step-by-step explanation:

Use the variable x to represent the number

7(x +5) = 2

Answer:

7(x+5)=2              x= -33/7

Step-by-step explanation: