1000 ft.
Problem 3.2
100 ft.
A large rectangular swimming pool is 1000 feet long,
100 feet wide, and 10 feet deep.
The pool is filled to the top with water.
How much water does the pool hold?
Submit

Answer:

that would be 12

Step-by-step explanation:

62 - 50 = 12

X = 12

Answer:

that is 12

Step-by-step explanation:

u have to subtract 62 - 50 to get 12

That way

X = 12

Answer:

The correct answer is 3.

Step-by-step explanation:

I'm assuming you need this now so I won't explain it.

Hope this helps:) Goodluck!

Answer:

f(- 2) = - 7

Step-by-step explanation:

substitute x = - 2 into f(x)

f(- 2) = [tex]\frac{3}{2}[/tex] × - 2 - 4 = - 3 - 4 = - 7

The measure of angle ∠A and angle ∠C will be 65.37° and 17.63°. And the measure of the length of CA will be 29.48 inches.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

In triangle ABC, the side AB is 9 in, the side BC is 27 in, and the angle B is 97 degrees.

Then the other two angles and the side CA will be

The side CA is given by the cosine rule. Then we have

[tex]\rm CA^2 = AB ^2+ BC^2 - 2 \times AB \times BC \cos B\\\\\\CA^2 = 9^2 + 27^2 - 2 \times 9 \times 27 \cos 97^o\\\\\\CA^2 = 810 + 59.23\\\\\\CA ^2 = 869.23\\\\\\CA \ = 29.48 \ in[/tex]

Then angle A will be given by the sine rule. Then we have

[tex]\dfrac{27}{\sin A} = \dfrac{29.48}{\sin 97^0}\\\\\\\sin A = \dfrac{27 \sin 97^0}{29.48}\\\\\\\sin A = 0.9090\\\\\\A \ \ \ \ = 65.37^0[/tex]

Then the angle C will be

     ∠A + ∠B + ∠C = 180°

65.37° + 97° + ∠C = 180°

                       ∠C = 17.63°

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Answer:

720

Step-by-step explanation:

height is 22

right triangle sides are

5 12 and 13

Answer:

B) 720 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

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

Solve for area: 12 × 5 + 22 × (30) = 720 cm²

Answer:

Using arrangements with repetitions, it is found that they can be grouped in 46,200 ways.

What is the arrangements formula?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Using BODMAS

[tex](2 \times (8)) + (6 \times 4)[/tex]

[tex]16 + 24 = 40[/tex]

Answer:

40

Step-by-step explanation:

Using PEMDAS

Simplify terms in the parentheses.

Multiplying

Adding

Answer:

If you are asking what 5[tex]\sqrt{7n}[/tex] is without the radical, it equals to 175n.

Step-by-step explanation:

You square the whole equation first.

5^2 = 25 and [tex]\sqrt{7n}[/tex]^2 =7n

Then you multiply it together.

25 * 7n

175n

Answer:

Step-by-step explanation:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

  M = (A +B)/2

__

  M = (3 +5, -6 +8)/2 = (8, 2)/2 = (4, 1)

The midpoint coordinates are (4, 1).

__

  M = (-4 +1, -2 -3)/2 = (-3, -5)/2 = (-3/2, -5/2)

The midpoint coordinates are (-3/2, -5/2).

If the side be s

Volume is 100in³

So

Answer:

x = 5

Step-by-step explanation:

5 - 3x = - 10

Subtract 5 from both sides:

5 - 5 - 3x = -10 - 5

-3x = -15

Divide -3 by both sides:

-3x/-3 = -15/-3

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

A) [tex]0.13[/tex]

Step-by-step explanation:

If a function [tex]f(x)[/tex] is continuous over the interval [tex][a,b][/tex], then the average rate of change over that interval is [tex]\displaystyle \frac{f(b)-f(a)}{b-a}[/tex]:

[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13[/tex]

Thus, the average rate of change over the interval [tex][2,7][/tex] to the nearest hundredth is [tex]0.13[/tex].

Answer:

  b = 44

Step-by-step explanation:

We can complete the square(s) to put the equation in standard form. Then we can find the value of b that makes the radius be 7 units.

__

  x^2 +y^2 -4x +2y = b . . . . . given

  (x^2 -4x) +(y^2 +2y) = b . . . . group by variable

  (x^2 -4x +4) +(y^2 +2y +1) = b + 4 + 1 . . . . complete the squares

  (x -2)^2 +(y +1)^2 = b +5 = 7^2 = 49 . . . . . write as squares, show radius

  b = 49 -5 = 44 . . . . subtract 5

The value of b to make the radius 7 is 44.

_____

The standard form of the equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . center (h, k), radius r

Part (a)

Open up Desmos and click on the button that looks like a plus sign. It's at the upper left corner. We're going to want to add a table.

Type all of the values into the table. This table is stacked vertically compared to yours which is laid out horizontally. It's the same thing pretty much. It depends on your preference on which you like better.

After the data values are typed in (which is a bit of a tedious process if you ask me), you'll then move to the next input box to type the following

[tex]y_1 \sim mx_1 + b[/tex]

Type it in exactly as you see it. To get the small '1's as subscripts, you'll need to use an underscore. So you'll type y_1 to mean [tex]y_1[/tex]

The ~ symbol is likely found in the upper left portion of your keyboard.

After typing that into the second input box, you should get what you see in the screenshot below.

The parameters your teacher wants are the m and b values.

Desmos is showing these values:

These values are approximate. As the instructions state, do not round the values mentioned.

Therefore, we go from y = mx+b to y = 0.125873x-7.11916 approximately

This is the regression line. It is the closest line to all of the points.

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

Part (b)

The year 2022 is 2022-1900 = 122 years after the year 1900.

This means we'll plug x = 122 into the regression equation to find the predicted value for y.

y = 0.125873x-7.11916

y = 0.125873*122-7.11916

y = 8.237346

I used the Desmos input box as a calculator. Simply type in 0.125873*122-7.11916 exactly as you see it and it should produce the value 8.237346

That then rounds to 8.24

We predict in the year 2022, the minimum wage should be about $8.24

This is an estimated value because the regression line isn't perfect. In fact, the further we move away from the main known points, the worse off the estimation will likely get. This is why extrapolation could be a bad idea. However, it's a fairly good way to see what's going on.

Answer:

I believe it would be 3,000,000 by the end of 12 years since nothing is being taken out or deposited but instead, she put a compound interest so the numbers would go up from what i gather

Step-by-step explanation:

Answer:

Your answer would be 24 but then if you  round it to the nearest tenth the you would have 20

Step-by-step explanation:

i hope this helps

#13

Option D

#14

Answer:

    13. (4) -x² + 4x - 8

    14. (3) a⁴ + 2a²b² + b⁴

Step-by-step explanation:

Question 13

Question 14

In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. The length of the total plates to be added is 100cm. Refer to the use of polygons.

Step 1

In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. This is already existing on the circuit so it is not part of the plate to be added.

Step 2

Using the plate with the straight line,  the other spaces which are 5 in number will be completed. The total length of plates used will amount to 100cm.

Because the plate is equal in length and height, the total number of plates used is:

20 * 4 = 100cm.

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Virtual reality" is the appropriate answer.

The utilization of technological advances gives the impression of a 3D interactive environment wherein the things that have such a perception of space embodiment or involvement, are considered as Virtual reality.

Virtual reality implementations often include:

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Answer:

The answer to the first question is

[tex]16.37[/tex]

The answer to the second question is D

Answer:

x = -1 + ⟌17

Step-by-step explanation:

You want to solve the equation for x by finding a, b, and c of the quadratic formula

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

Slope of the graph can be expressed as :

[tex]\qquad \sf  \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{4}{5} \times 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = {4}{} \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 24 \: units[/tex]

So, the value of x is 24 units

Based on your normal distribution curve, 68% of the sample pack of M&M's will have 38 orange M&M's

The amount of M&M's that will be obtained from the pack of 56 can be obtained as follow:

Amount = percentage × total

Amount of M&M's = 68% × 56

Amount of M&M's = 0.68 × 56

Amount of M&M's = 38

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                  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

       What is the equation of the line that passes through (-3, 6) and has a slope of -2?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

First, we need to write the equation of the line in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with 6, m with -2, and x1 with -3:-

[tex]\sf{y-6=-2(x-(-3)}[/tex]

On simplification,

[tex]\sf{y-6=-2(x+3)}[/tex]

On further simplification,

[tex]\sf{y-6=-2x-6}[/tex]

Add 6 on both sides:-

[tex]\it{y=-2x}[/tex]

          - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

C) (3 , 2)

Step-by-step explanation:

y is greater than 2x - 7.

Note the point values (x , y). y, in this case, must be greater than x after it is simplified.

~

(3 , -2)

Plug in 3 for x, and -2 for y:

(-2) > 2(3) - 7

-2 > 6 - 7

-2 > -1

(False).

~

(4 , 1)

Plug in 4 for x, and 1 for y:

(1) > 2(4) - 7

1 > 8 - 7

1 > 1

(False).

~

(3 , 2)

Plug in 3 for x, and 2 for y:

(2) > 2(3) - 7

(2) > 6 - 7

2 > 1

(True).

~

∴ C) (3 , 2) is your answer.

~

Answer:

42 with 4 extra ounces

Step-by-step explanation:

since we know we can't do 256/6

256, when downed, is 252

252/6 = 42

the most she can make is 42 with 4 more ounces leftover

Answer: answer choice 2) P(A) = 0.8, P(B) = 0.25

Step-by-step explanation:

The True statement is  P(A) = 0.8, P(B) = 0.25.

The correct option is (B).

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

1. 0.4 ·0.3≠ 0.2,

2. 0.8 · 0.25 = 0.2

3. P(A|B)= P(A)= 0.2

        0.2 ≠ 0.2 · 0.2

4. 0.2 ≠ 0.15 · 0.05

Hence. the only condition is satisfied is (B).

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Answer:

7.5

Step-by-step explanation:

because OY is a radius like OX they will have equal length of 4 so OY = 4

Because of the circle theorem that says that tangents meet the the radius of a circle at 90 degrees, angle OYW is 90 degrees so the triangle OYW is a right angle triangle and we can use pythagoras theorem to get WY as:

[tex]8.5^{2} - 4^{2} = WY^{2} \\\sqrt{WY^{2}}=WY=7.5[/tex]

Answer:

es lo que es

Step-by-step explanation: