A child’s pool is in the shape of a rectangular prism with a height of 2 ft and a base that is 4 ft wide by 5 ft long. During the course of the summer, the child’s pool needed to be filled 3 times.
How many cubic feet of water were needed to fill the pool during the summer?
A. 40 ft³
B. 80 ft³
C. 120 ft³
D. 160 ft³

Answer:

Step-by-step explanation:

[tex]f(x)=x^3-2x^2+16x-32\\\\\text{The zeros:}\\\\f(x)=0\Rightarrow x^3-2x^2+16x-32=0\\\\x^2(x-2)+16(x-2)=0\\\\(x-2)(x^2+16)=0\iff x-2=0\ \vee\ x^2+16=0\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}\\\\x^2+16=0\qquad\text{subtract 16 from both sides}\\x^2=-16<0\qquad\text{no real solutions}\\\\\text{In the set of the complex numbers}\\x^2=-16\to x=\pm\sqrt{-16}\\\boxed{x=-4i\ \vee\ x=4i}[/tex]

Answer:

The answer is 16.5 meters in 10 seconds

Step-by-step explanation:

First you divide 99 by 60 seconds

When you get 1.65 you multiply it by 10 second.

When you multiply 1.65 by 10 second you get 16.5 meters in 10 seconds

3x - 10 = 5x + 32

3x - 10 + (-5x + 10) = 5x + 32 + (-5x + 10)

-2x = 42

-0.5(-2x) = -0.5(42)

x = -21

Answer:

Step-by-step explanation:

[tex]3x-10=5x+32\qquad\text{add 10 to both sides}\\\\3x-10+10=5x+32+10\\\\3x=5x+42\qquad\text{subtract 5x from both sides}\\\\3x-5x=5x-5x+42\\\\-2x=42\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{42}{-2}\\\\\boxed{x=-21}[/tex]

Answer:

0.875

Step-by-step explanation:

We know that

7/8

is the same as

7÷8

Then using

Long Division for 7 divided by 8

and rounding to a Max of 3 Decimal Places gives us

=0.875

hope this helps:)sorry if it doesnt

plz give brainliest

Answer:

0.875

Step-by-step explanation:

7/8 IS 0.875

you can round to hundredth

so 0.88

Yes this is true because if she can read 2 paragraphs every minute you would multiply 2 by 3 since that’s how many minutes she read for.

2 paragraphs x 3 minutes = 6 paragraphs

Hope this helps.

Answer:

Yes this is true because if she can read 2 paragraphs every minute you would multiply 2 by 3 since that’s how many minutes she read for.

2 paragraphs x 3 minutes = 6 paragraphs

Hope this helps.

Step-by-step explanation:

I think it would be: "My pet rabbit likes lettuce."

I believe it would be 2) my pet is a rabbit.

Answer:

(-1,-3)

Step-by-step explanation:

The given system of equations is;

[tex]y=-5x-8...(1)[/tex]

and

[tex]y=4x+1...(2)[/tex]

Let us equate the two equations to get;

[tex]4x+1=-5x-8[/tex]

Group similar terms;

[tex]4x+5x=-8-1[/tex]

Simplify;

[tex]9x=-9[/tex]

Divide both sides by 9.

[tex]x=-1[/tex]

Put x=-1, into any of the equations, say (2);

[tex]y=4(-1)+1[/tex]

[tex]y=-4+1[/tex]

[tex]y=-3[/tex]

The solution is;

(-1,-3)

Answer:

-8

Step-by-step explanation:

(-32)^(3/5) is equivalent to (-2^5)^(3/5) and applying exponent rules then simplifying you can get your answer.

Answer:

Step-by-step explanation:

Let's just see what happens if we do

(-32)^(1/5)

That means what number do you start with that when multiplied 5 times gives you - 32?

The answer is - 2

-2 * - 2 * -2 * -2 * -2 = -32

Now when you have a root sign that goes to the 1/5 power, you can take out 1 of the factors and throw the other 4 away.

[tex]\sqrt[5]{-2 * - 2 * - 2 * -2 * -2} = - 2[/tex] take one - 2 from under the root sign and throw the other 4 away

That's not the answer. We have one more step.

What is -2 to the 3rd power.

(-2)^3 = - 8

So the answer is -8

[tex]\sqrt[5]{- 32}^3 = -8[/tex]

Answer: 113.0973  [tex]in^{2}[/tex]

Step-by-step explanation:

If the diameter of the circle is 12", then the radius is 6" (half the diameter), and the area "A" is (approximately) 3.14 * 6^2 or about 113.04 sq. in. The calculation is approximate because 3.14 is a rounded value for pi. But the correct answer is 113.0973 not 113.04 because it's giving you the answer compared to SQUARE, but we need the answer in Inches. So that was just an example.

* Hopefully this helps:) Mark me the brainliest:)

The area is approximately 113.097 square inches.

To find the area of a pizza with a diameter of 12 inches, we follow these steps:

Therefore, the area of the pizza is approximately 113.097 square inches.

Answer:

Yes

Step-by-step explanation:

The equation is y=2x+4

Andy's assertion is incorrect because the correct equation for the given data must include a y-intercept term. Hence, the equation would be of the form y = mx + b, with the slope m being 2 and the y-intercept b being 4. For this dataset, the equation would be y = 2x + 4.

Andy's statement that he can write an equation of the form y=mx for the given values is incorrect. If we look at the table, we see that as x increases by 1 unit, y increases by 2 units. This indicates that the slope of the line (m) is 2. However, the y-intercept is 4, not 0, hence our equation should have a form y = mx + b, where b ≠ 0. So, for this data, a correct equation would be y = 2x + 4.

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The complete question is here:

Andy uses the table below to write a linear equation.

x : -1, 0, 1, 2

y : 2, 4, 6, 8

He says he can write an equation of the form y=mx for the given values. Is he correct? Explain your reasoning.

E-2=18 should be your answer

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❖ The correct answer is e - 2 = 18.

e is being decreased by 2 so we represent this as, -2. The problem says it equals 18 so therefore, the equation will be written as e - 2 = 18

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Answer:

305 or N=1

Step-by-step explanation:

N=17, correct?

so what you do first is rewrite the equation:

17^2+16

which will equal:

305

if not and the equation is N^2+16=17

then you have to subtract the 16 first from 17

n^2=1

now you divide or whatever you call it XD

/n^2=/1

so the answer to N=1

Answer: 15120

Step-by-step explanation:

10×12×7×2×9=15120

Answer: 15120

Step-by-step explanation:

Given: The number of players at point guard = 10

The number of  players at shooting guard = 12

The number of  players at small forward = 7

The number of  players at power forward = 2

The number of  players at center = 9

Then, the number of different teams William could draft is given by :-

[tex]10*12*7*2*9=15120[/tex]

Hence, William could draft 15120 different teams.

it is 0.75 L because the L are more than a mL

Answer:

Step-by-step explanation:

0.75

Answer:

B) (4, 0)

C) (0, -1)

E) (2, 3)

Step-by-step explanation:

If we see the rule of function then it says that,

a function is a special relationship where each input, x,  has a single output, y.

It means that for every value of x there SHOULD be a different value of y.

A)

(-3,-2) Rejected

because when x = 3, y = -2  

D)

(1, 6) Rejected

because when x = 0, y = 6  

F)

(-5, 9) Rejected

because when x = 4, y = 9  

Answer:

The correct options are A, D and E.

Step-by-step explanation:

The given set of ordered pairs represents a function

[tex]f=\{(-5, 3), (4, 9), (3, -2), (0, 6)\}[/tex]

We need to find THREE ordered pairs that could be added to the set that would allow f to remain a function.

A relation is a function if there exist unique value of y for each value of x.

The x values for given function are -5, 4, 3 and 0.

If we add (-3,-2) in the given set, then we unique value of y for each value of x.  So, option A is correct.

If we add (4,0) in the given set, then we have y=0 and y=9 at x=4. Since the set have more than one value of y for same x-value, therefore option B is incorrect.

If we add (0,-1) in the given set, then we have y=-1 and y=6 at x=0. Since the set have more than one value of y for same x-value, therefore option C is incorrect.

If we add (1,6) in the given set, then we unique value of y for each value of x.  So, option D is correct.

If we add (2,3) in the given set, then we unique value of y for each value of x.  So, option E is correct.

If we add (-5,9) in the given set, then we have y=9 and y=3 at x=-5. Since the set have more than one value of y for same x-value, therefore option F is incorrect.

Therefore the correct options are A, D and E.

Answer:

y = 3x - 1

Step-by-step explanation:

We can manipulate the scatter plot feature in Ms. Excel then we simply add the linear trend line displaying the equation on the chart.

The excel output is attached below.

The relation exhibited by the data set is y = 3x - 1; given the value of x, the value of y is obtained by multiplying x by 3 and subtracting 1 from the result.

➷ x + y = 66

y - x = 22 (rearrange for y)

y = x - 22 (substitute this into the top equation)

x + (x - 22) = 66

2x - 22 = 66

Add 22 to both sides

2x = 88

x = 44

The two numbers are 44 and 22

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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The solution is x= 44 and y =22

See the image

Answer:

Angle CBD is 125°.

Step-by-step explanation:

Remember that the sum of all the interior angles of a triangle is 180°.  We know two of these angles from the diagram for problem #3:  67° amd 58°.  Thus, angle ABC is 180° less the sum of 67° and 58°, or 180° - (67° + 58°), which comes out to 180° - 125°, or 55°.

This 55° and angle CBD are supplementary angles.  In other words, 55° + <CBD must sum up to 180°.  Subtracting 55° from 180° yields 125°.

Angle CBD is 125°.

Answer:

Step-by-step explanation:

We know that ∠CBD = ∠ACB + ∠CAB           [ External Angle of a                                                                                         Triangle theorem]

∠CBD = 58° + 67° = 125°

Answer:

135+x

Step-by-step explanation:

thi is because yoou gained x so you add that to your weight

Hello there!

An equation you could use is: 135 + x = y

This is because you gained x pounds, and you are adding that on to you original weight of 135 pounds, giving you a total of y ponds.

I hope this helps and have a great day!

For 7A)

The sum of -4 can not be both positive as from the set of rules (+)(+) can only make postive and -4 is decleared as negative

For 7B)

The sum of -4 can not be both negative as both negative (-)(-) is equivalent to a positive and the integer is -4 meaning it can not be negative

The reasonable answer to this would be two different numbers

It could be negative and positive

Or positive and negative

Nothing else

45,700

You either go up from 5-9 or down for 1-4.

Example:

56,891 to the nearest hundred.

An 8 is in the hundreds place so it will either be 56,800 or 56,900 depending on if you go up or down. Start at the ones place. The number is 1 so you take that down. Then you have 56,890. Next you go to the tens place. A 9 would go up so you then have 56,900. You are now in the hundreds place so you have solved the problem.

Answer:

45,700

Step-by-step explanation:

Go to the hundreds place and look at the number behind it. It's a 2. If you are rounding and the number behind it is 4 or less, you would keep it the same. If the number behind it is 5 or more, then you would round up. So, the answer is 45,700.

Answer:

find the area on one shape and the area of the other and add the shapes areas to get your answer

Step-by-step explanation:

Answer: Add the volume of a rectangular prism to the volume of a triangular prism.

Step-by-step explanation:

A. Find the volume of a pyramid.

Neither of the shapes shown are a pyramid and there should be two shapes added together.

B. Find the volume of a rectangular prism.

There should be two shapes being added together, however this is one of the shapes shown.

C. Add the volume of a rectangular prism to the volume of a triangular prism.

This is the answer because the bottom shape of the house is a rectangular prism since there are six faces all with four sides. The top shape is a triangular prism because two of the faces are triangles and the other three are rectangles. This shape would not be a pyramid because in order for it to be categorized that way it would need at least four triangular faces that connect at a point.

D. Add the volume of a rectangular prism and a pyramid.

The triangular prism is shown, however the shape used to represent the roof of the house would be classified as a rectangular prism.

Answer:

[tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]rule of slope = \frac{y^2-y^1}{x^2-x^1}[/tex]

4 - 6 = -2

6 - -2 = 8

-2 ÷ 8 = -0.25 (-1/4)

Answer:

The slope is [tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)=(-2,6)[/tex] and [tex](x_2,y_2)=(6,4)[/tex].

The slope of the line passing through these two points is given by;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We substitute the values to obtain;

[tex]m=\frac{4-6}{6--2}[/tex]

[tex]m=\frac{-2}{8}[/tex]

[tex]m=-\frac{1}{4}[/tex]

Answer:

The area of the shaded region is [tex](77-4\pi)\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the rectangle minus the area of the circle

step 1

Find the area of the rectangle

[tex]A=(7)(11)=77\ cm^{2}[/tex]

step 2

Fin the area of the circle

[tex]A=\pi (2)^{2}=4\pi \ cm^{2}[/tex]

step 3

Find the area of the shaded region

[tex]77\ cm^{2}-4\pi \ cm^{2}=(77-4\pi)\ cm^{2}[/tex] -----> exact value

To find the approximate value use [tex]\pi=3.14[/tex]

[tex](77-4(3.14))=64.44\ cm^{2}[/tex] -----> approximate value

Answer:

[tex]\boxed{\bold{v=36}}[/tex]

Step-By-Step Explanation:

Switch Sides

[tex]\bold{\frac{7}{6}v=42}[/tex]

Multiply Both Sides By 6

[tex]\bold{6\cdot \frac{7}{6}v=42\cdot \:6}[/tex]

Simplify

[tex]\bold{7v=252}[/tex]

Divide Both Sides By 7

[tex]\bold{\frac{7v}{7}=\frac{252}{7}}[/tex]

Simplify

[tex]\bold{v=36}[/tex]

Answer: =6x+ −6/5

Step-by-step explanation:

Let's simplify step-by-step.

6x−12/10 =?

= 6x + −6/5

* Hopefully this helps:) Mark me the brainliest:)  For a better a understanding I included the picture of what I exactly mean incase you didn't understand the work that I showed you :)

For this case we must simplify the following expression:

[tex]6x- \frac {12} {10}[/tex]

If we divide the numerator and denominator between "2", then we can rewrite the fraction as:

[tex]\frac {12} {10} = \frac {6} {5}[/tex]

So, we have:

[tex]6x- \frac {6} {5}[/tex]

Answer:

[tex]6x- \frac {6} {5}[/tex]

Answer:

line 1  line 3

Step-by-step explanation:

I took the test

Answer:

297

Step-by-step explanation:

To find V or Volume to multiply all of the number so 11 time 9 times 3 equals 297. So V = 297

Answer:

option B

0.72

Step-by-step explanation:

Given in the question,

sin A = 0.31

cos A = 0.95

sin B = 0.47

cos B = 0.88

To solve sin(A+B) we will use trigonometry identities

Compound-angle formulae

Plug values in above formula

(0.31) (0.88)+ (0.95) (0.47)

0.2728 + 0.4465

0.7193

≈ 0.72

Answer:

0.72

Step-by-step explanation:

Use the sum formula for the sine function:

sin (A + B) = sin A cos B + cos A sin B

Insert the givens into the above formula:

sin (A + B) = (0.31)(0.88) + (0.95)(0.47)

                 =  0.7193, or approx 0.72

Answer: w=7

All work is shown in the attached sheet! :)