A swimming pool is in the shape of a rectangular prism. The pool is 4 feet deep. Its length is 4 times its width. The volume of the pool is 6400 cubic feet. Find the length and width of the pool.
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Answers

Answer 1
V = LWH

6400 = (4W) * W * 4
1600 = 4W^2
400 = W^2
W = 20
L = 4(20)
L = 80

W = 20 ft
L = 80 ft

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On Saturday, Lukas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the total amount of miles lukas drove

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Answer:

first is -20 second is -30 and if you add those it is -50

Help me with this pls i dont understand

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Answer:

Slope is 6 and Y intercept is 4.. You can look the image above.

2x+4y=8 in y=mx+b = y=-1/2x+2.
To find the x intercept you set y=0 and solve for x. So 0=-1/2x+2. x=4. So the x intercept is (4,0) the y intercept is 2

what is 3x^3 + 20x^2 + 28x +15

Answers

Answer:

(3x^2 + 5x +3) (x + 5)

1. A car is traveling down a road at a constant speed of 50 miles per hour. a. Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time. Help please and thank you :)​

Answers

By finding the linear equation that relates distance and time, we can see that the complete table is:

time (hours)   distance (miles)

2                              100

1.5                             75

t                              (50)*t

1                                50

6                               300

d/(50)                          d

How to complete the table?

After a small online search, I've found that the table is:

time (hours)   distance (miles)

2

1.5

t  

                                50

                               300

                                  d

Now, remember the relation:

distance = speed*time.

In this case, we know that the speed is 50 mi/h, so if we define d as the distance and t as the time, we can write:

d = (50mi/h)*t

To complete the table, we just replace the value that appears in the table, and then we solve the equation for the other variable.

First we have t = 2 hours:

d = (50 mi/h)*2h = 100 mi

Then we have t = 1.5 hours

d = (50 mi/h)*1.5 h = 75 mi

Then we assume that we evaluate in t, so there we just write the equation:

d = (50 mi/h)*t

Now we go to the other side of the table, now we evaluate d, so we can write:

t = d/(50 mi/h)

(that is what goes in the table when we need to evaluate in d).

Then the fourth place in the table has d = 50 mi, replacing that:

t = (50mi)/(50 mi/h) = 1h

And finally, we evaluate in d = 300mi

t = (300 mi)/(50 mi/h) = 6h

Then the complete table is just:

time (hours)   distance (miles)

2                              100

1.5                             75

t                              (50)*t

1                                50

6                               300

d/(50)                          d

If you want to learn more about speed, you can read:

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My math grade went from a 78 to a 86. What is the percent increase

Answers

Answer:

10.25641...% or 10.3%

Step-by-step explanation:

(86/78)/78 = 8/78

8/78 * 100 = 400/39 = 10.25641...%

A right rectangular prism has a length of 412 cm, width of 4 cm, and height of 212cm. What is the volume of the prism? Enter the answer in the box. cm³

Answers

Answer: Volume = 349376 cm^3

Step-by-step explanation:

The volume of a rectangular prism is the length*width*height.

We can plug in the values given:

Volume = 412 cm * 4 cm * 212 cm

Volume = 349376 cm^3

Answer:

the awnser is 3 over 9

Step-by-step explanation: bc i like suck\

iykyk

Select the decimal that is equivalent 29/30

Answers

Answer:

0.96666666666667

Step-by-step explanation:

0.966666666667
Just type it into the calculator then press of SD above the DEL button and you’ll get the answer

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

y=40(0.6)^x

put x=4

[tex]\\ \rm\longmapsto y=40(0.6)^4[/tex]

[tex]\\ \rm\longmapsto y=40(2.4)

[tex]\\ \rm\longmapsto y=40(0.13)

[tex]\\ \rm\longmapsto y=5.2ft[/tex]

w times 11, then add x to the result.

Answers

Answer:

11w + x

Step-by-step explanation:

Why did the freshman eat his homework? Because his teacher said it was a piece of cake.

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Answer:

lol

Step-by-step explanation:

aaaaaaaaa stop brainly

Answer:

the guy that invented umbrellas didnt know what to call it so he said "ummm... brella"

Step-by-step explanation:

if the width of a rectangle with perimeter P is 6 units , what is the length.

Answers

Answer:

L= P/2 - 6

Step-by-step explanation:

As you know that the Perimeter of a Rectangle = 2(L+W)

since Perimeter = P  and Width = 6

Then P = 2(L+6)

Expanding

P=2L+12  -->  2L=P-12

Then L=(P-12)/2=P/2-6

The perimeter is twice the sum of width and length. Then the length of the rectangle is P/2 – 6 units.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If the width of a rectangle with perimeter P is 6 units.

Perimeter = P

Width = 6 units

Then the length of the rectangle will be

Perimeter = 2 (Width + Length)

             P = 2 (6 + L)

             L = P/2 – 6

The length of the rectangle is P/2 – 6 units.

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Hi can you please help me out

Answers

Answer:

Centroid

Step-by-step explanation:

is it right please  tell me down below thank you

YOU WILL GET BRAINLY!!
Please help me and please explain.

Answers

Answer:

Measure of side a: 6

Measure of side b: 8

Measure of side c: 10

Side a/c: 6/10 = 3/5

Side b/c: 8/10 = 4/5

Side a/b: 6/8 = 2/3

Step-by-step explanation:

Answer:

[tex]\beta=59\ degrees[/tex]

Step-by-step explanation:

[tex]< ABC+ < BAC=90\ degrees\\ The\ acute\ angles\ of\ a\ right\ triangle\ are\ complementary.[/tex]

[tex]\beta+31\ degrees=90\ degrees\\ Substitute\ < ABC=\beta, < BAC=31\ degrees\ into\\ < ABC+ < BAC=90\ degrees[/tex]

[tex]\beta=59\ degrees\\ Calculate\ \beta+31\ degrees=90\ degrees[/tex]

I hope this helps you:)

Find the values of x, y, and z. Round to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

The value of x is 15, y is 5 and z is 17 units in the given triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

First let us find value of y

We know that hypotensue / leg = leg/y

20/10 = 10/y

Apply cross multiplication

20y=100

y=5

Now let us find x value

20-y=x

20-5=x

x=15

The altitude is √5.15= √75

=8.6

Now by pythagoras theorem, we find value of z

x²+75 = z²

15²+75 = z²

225+75= z²

300= z²

z=17.3

Hence, the value of x is 15, y is 5 and z is 17 units in the given triangle.

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write each fraction as a decimal 8/12

Answers

8/12
That can be simplified to
2/3
2/3 as a decimal is 0.6667
So ur answer is
0.6667
(Or 0.66 recurring)

What percent of the cars passed through between 2:00 pm and 2:59 pm?
Look at the attatched Picture to answer the Problem
Just need a Simple percentange
Thanks!

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Answer:

40% I think because it is easy to turn a number into percentage.

If you were told that the exchange rate between the U.S. dollar and the Canadian dollar was 1.2, that would mean that Canadians would have to spend ____ to buy a $12 watch in New York City. a. 10 U.S. dollars b. 18 Canadian dollars c. 14.4 U.S. dollars d. 12 U.S. dollars

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Answer:

C.14.4

Step-by-step explanation:

I have no clue how I’m supposed to do this…

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Refer to the photo. Use Pythagorean theorem of a^2 + b^2 = c^2

Answer:

Step-by-step explanation:

We will need to rewrite the Pythagorean Theorem

A^2 + B^2 = C^2

Substitute. tIn this case:

18^2 + x^2 = 82^2

Subtract 18^2

x^2 = 82^2 - 18^2

In order to get x alone, take the root:

x = sqrt(82^2 - 18^2)

And solve:

x = 80

Classify each pair of labeled angles as complementary, supplementary, or neither.



Drag and drop the choices into the boxes to correctly complete the table. Each pair of angles may belong to more than one category.

Answers

Answer:

The angles 53 and 127 are supplementary.

The angles 56 and 34 are complementary.

The angles 67 and 67 are neither.

Step-by-step explanation:

Supplementary angles are two angles that add up to 180 degrees.

Complementary angles are two angles that add up to 90 degrees.

Add the angles found in each choice to get 180, 90, and 134.

You start at (0, 8). You move down 7 units and right 8 units. Where do you end?

Answers

Answer:    (8, 1)

========================================================

Explanation:

The "move down 7" means the y coordinate 8 becomes 8-7 = 1

We subtract 7 from the y coordinate.

The "move right 8 units" means we add 8 to the x coordinate to get 0+8 = 8

Therefore, the point (0,8) moves to (8, 1)

Check out the diagram below.

Zahria deposited her $500 savings in a high yield fund. See the end of year balances in the table below.

will give brainliest

Answers

Step-by-step explanation:

please I don't understand the question

multiply polynomials ( 1.3xy^2) (-2.2x^2y)

pls solve this :)

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-2.86x^3y^3 is the answer

Construct an augmented matrix for this linear system: x − y − 4z = 5 2x 2z = 0 4x y z = 3.

Answers

The augmented matrix is,

[tex]\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)[/tex]

We have given system of linear equation is,

[tex]x - y - 4z = 5,2x + 2z = 0 ,4x +y +z = 3.[/tex]

What is the meaning of augmented matrix?

In an augmented matrix, each row represents one equation in the system and each column represents coefficients (with signs) of variables or the constant terms.

So, the first row is

[tex]1\ -1\ -4\ 5[/tex]

the second row is

[tex]2\ 0\ 2\ 0[/tex]

and the third row is

[tex]4\ 1\ 1\ 3[/tex]

Therefore the augmented matrix for this linear system is,

[tex]\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)[/tex]

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The augmented matrix for the given linear equations will be constructed as follows

[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right][/tex]

What will be the augmented matrix of the given linear equations?

The augmented matrix is generally a matrix form of the given linear equations and the coefficient of the variables are arranged in the form of a matrix.

The given equation has three variables so the matrix form will be of [tex]3\times3[/tex]

The given linear equations are

[tex]x-y-4z=5\\2x+0y+2z=0\\4x+y+z=3[/tex]

From the above equations, we will make an augmented matrix.

[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right][/tex]

The first equation will be followed by the first row of the matrix and the rest will be followed the same.

Thus the augmented matrix for the given linear equations will be constructed as follows

[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right][/tex]

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PLS HELP I'M DESPERATE!!!!!!!!!!!



Translate this phrase into an algebraic expression. 43 less than twice a number Use the variable n to represent the unknown number.

Answers

Answer : (n•2)- 43 ……….

y∝√x
If y = 32 when x = 64 find,
x when y = 48

Answers

Pls mark me as the Brainliest!!!
Have a good day :)

A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is x Overbar, while the standard deviation is s. What is the 99% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58.

Answers

Using the z-distribution, as we have the standard deviation for the population, it is found that the 99% confidence interval for the population mean is given by:

[tex]\overline{x} \pm 2.58\frac{s}{\sqrt{n}}[/tex]

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.s is the standard deviation for the population.

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.58[/tex].

The other parameters are symbolic, hence the interval is given by:

[tex]\overline{x} \pm 2.58\frac{s}{\sqrt{n}}[/tex]

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In circle EE, m\angle FEG=70^\circ∠FEG=70

and the length of \overset{\LARGE\frown}{FG} = \frac{7}{9}\pi
FG

=
9
7

π. Find the length of \overline{EF}
EF
.

Answers

The length of EF from the given diagram is 2.98

How to calculate the length of an arc

The formula for calculating the length of an arc is expressed as;

L = rtheta

where

r is the radius

theta is the subtended angle

Given the following

r = 7/9π

theta = 70 degrees

L = 70/360 * 2 * 7/9π * π

L = 2.98

Hence the length of EF is 2.98

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what is the slope of each line Line A y=1/2 x -4 Line B y=2x-3 The slope of line a = 1/2 The slope of line b=2 The slope of line a =-4 The slope of line b =-3 the slope of a =-1/2 the slope of b =-2 The slope of line a =-3 the slope of line b =-4​

Answers

Answer: 1/2 and 2

Step-by-step explanation:

The slope of a line, where the equation is in y=mx+b form, is m.

An angle whose measure is –102° is in standard position. In which quadrant does the terminal side of the angle fall? Quadrant I Quadrant II Quadrant III Quadrant IV.

Answers

Angle is formed by the two rays. The angle with measurement –102° will lie in the third quadrant.

What is an angle?

An angle is formed by the two rays, the two rays are known as the two sides of the angle.

As it is given that the measure of the angle is –102°, therefore, the angle will be measured from the positive x-axis in the clockwise direction, therefore, the angle will lie in the third quadrant as shown in the image below.

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Write a quadratic function h whose zeros are 1 and 9.

Answers

Answer:

x^2 - 10x + 9

Step-by-step explanation:

Zeros would be 9 and 1, so the equation would be (x-9)(x-1), and multiplying with FOIL gives us x squared -10x+9

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