It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?

Answer:

The circumference is 75.36 inches.

Step-by-step explanation:

Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!

We are given the radius that’s equal to 12 inches and π = 3.14

We want to find the circumference.

[tex]\displaystyle \large{C=2\pi r}[/tex] which simply means circumference = 2*π*radius or sometimes can also be written as [tex]\displaystyle \large{C=\pi d}[/tex] which means circumference = π*diameter since 2r means two times of radius and that’s technically diameter.

Determine the following:

Apply the circumference formula.

[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 12}\\\\\displaystyle \large{C = 24 \cdot 3.14}\\\\\displaystyle \large{C=75.36}[/tex]

Hence, the circumference is 75.36 inches.

Answer:

75.36 in^2

Step-by-step explanation:

24*3.14

=75.36 in^2

Answers:

BD = 6

AC = 7.5

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

Work Shown:

BD/BA = BE/BC

x/9 = 4/6

6x = 9*4

6x = 36

x = 36/6

x = 6

BD = 6

---------

DE/AC = BE/BC

5/y = 4/6

5*6 = y*4

30 = 4y

4y = 30

y = 30/4

y = 7.25

AC = 7.5

Answer:

Sample statistic

The equation here can be described to be a circle.

We have the following equations

x = 5cos(t) - 7, and

y = 5sin(t) + 9

When rearranged we have

x + 7 = 5cos(t),

y - 9 = 5sin(t)

Square both equations

(x + 7)² = 25cos²(t), and

(y - 9)² = 25sin²(t)

Sum the equations

(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)

(x + 7)² + (y - 9)² = 25

(x + 7)² + (y - 9)² = 5²

The equation above is that of a circle. The radius is 5 units. The center is (-7,9)

The formula for the equation of a circle is

(x -a)² + (y - b)² = R², this is similar to (x + 7)² + (y - 9)² = 5²

The equation can be described as a circle.

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Answer: cirlce

Step-by-step explanation:

did it

Both the mean and the median can be used to describe where the “center” of a dataset is located. It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers. It’s best to use the median when the distribution of data values is skewed or when there are clear outliers.

Answer:

1 sick chick FIL a have to be there by the time

Answer:

B is the correct choice.

Explanation:

r = 4sin∅, a = 4, R = 2

[tex]\begin{tabular}{c | l}\theta & r \\ \cline{1-2}\pi /6 & 2\\\pi /3 & 2\sqrt{3}\\\pi /2 & 4\\2\pi /3 & 2\sqrt{3} \\5\pi /6 & 2\\\pi & 0\end{tabular}[/tex]

Plot these points.

Answer:

First things first you set up your coordinate plane. Then you have to remember that the the first number is the x-axes and the second number is the y-axes. Then you go straight from (0,0) of the x-axes all the way to (8,0) then you go up two times (8,2) there is your first one. Then you gotta so the same steps 3 more times. But it has to be in different places.

Answer:

There is a slight difference but the result is the same.

In the notation ddx(y) the ddx part is an operator which says ‘the function which is the differential with respect to x of ⋯’ and y is the function being operated on. The ddx and y are two separate entities in this notation.

In the notation dydx we mean the function that is the result of differentiating the function y with respect to x. In this case, there is only a single entity: dydx.

Both notations mean ‘the function which is the differential of function y by x

Answer:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x= i, −i, 3,−2

Step-by-step explanation:

Answer:

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

Step-by-step explanation:

1) Factor [tex]x^4 - x^3 - 5x^2 - x - 6[/tex] using Polynomial Division.

1 - Factor the following.

[tex]x^4 - x^3 - 5x^2 - x - 6[/tex]

2 - First, find all factors of the constant term 6.

[tex]1, 2, 3, 6[/tex]

3 - Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

[tex]1^4 - 1^3 - 5 * 1^2 - 1 - 6 = - 12[/tex]

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

[tex]( - 1 ) ^ 4 - ( - 1 ) ^ 3 - 5 ( - 1 ) ^ 2 + 1 - 6 = - 8[/tex]

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

[tex]{2}^{4}-{2}^{3}-5\times {2}^{2}-2-6 = -20[/tex]

Substitute -2 into x. Since the result is 0, x+2 is a factor..

[tex]{(-2)}^{4}-{(-2)}^{3}-5{(-2)}^{2}+2-6 = 0[/tex]

⇒ [tex]x+2[/tex]

4 - Polynomial Division: Divide [tex]{x}^{4}-{x}^{3}-5{x}^{2}-x-6[/tex] by [tex]x+2[/tex]

                                        [tex]x^3[/tex]                [tex]-3x^2[/tex]              [tex]x[/tex]           [tex]-3[/tex]

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

[tex]x+2[/tex]                                    |   [tex]x^4[/tex]        [tex]-x^3[/tex]               [tex]-5x^2[/tex]     [tex]-x[/tex]           [tex]-6[/tex]

                                                  [tex]x^4[/tex]         [tex]2x^3[/tex]

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

                                               [tex]-3x^3[/tex]         [tex]-5x^2[/tex]          [tex]-x[/tex]              [tex]-6[/tex]

                                                 [tex]-3x^3[/tex]       [tex]-6x^2[/tex]

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

                                                    [tex]-3x[/tex]         [tex]-6[/tex]

                                                       [tex]-3x[/tex]      [tex]-6[/tex]

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

5 - Rewrite the expression using the above.

[tex]{x}^{3}-3{x}^{2}+x-3[/tex]

2) Factor out common terms in the first two terms, then in the last two terms.

[tex]({x}^{2}(x-3)+(x-3))(x+2)[/tex]

3) Factor out the common term [tex]x-3[/tex].

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

The value of the given function will be written as:-

a) f(1)= 12

b) [tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given function is :-

[tex]f(n)= -48(\dfrac{-1}{4} ) ^{n}[/tex]

So the value of the given function f(1) will be:-

[tex]f(1)= -48(\dfrac{-1}{4} ) ^{1}=12[/tex]

The value of the function f(n-1) will be:-

[tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]

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The percentage increase from 5 laps of race on the first day to 9 laps after several weeks is 80%

The distance ran are given as:

Initial = 5 laps

Final= 9 laps

The percentage increase is calculated using:

Percentage = (Final - Initial)/Initial

So, we have:

Percentage = (9 - 5)/5

Evaluate

Percentage = 0.8

Express as percentage

Percentage = 80%

Hence, the percentage increase is 80%

Read more about percentage increase at:

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Answer:

50%

half of the numbers are even

Step-by-step explanation:

Answer:

540°

Step-by-step explanation:

Formula: note that n means nr of sides

(n-2)×180°

(5-2)×180°=3×180=540°

Where each angle are 540°÷5=108°

Answer:

540

Step-by-step explanation:

108 is one interior angle from a regular pentagon

And a pentagon has 5 interior angles

So 180x5=540

Based on the graph given, the option that will show the same amplitude as function m is graph D.

The cosine function is seen as:

f(x) = A*cos(kx) + M

And the functions are:

When the function is m(x) = -2*cos(x+π).

The absolute value of the amplitude will be 2*|-2| = 4

Therefore, the option that can have the requirement above is graph D.

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Answer:

Y = 27

Step-by-step explanation:

In the equation (y = 12 + 5x) the X is the independent value. When you replace this by 3 you will multiply 3*5 which will give you 15 and then you will want to add 12 as that is your y intercept. Giving the value of your Y a 27, or the point would be (3,27)

Answer:

12

Step-by-step explanation:

because when u plus 4+4+4 it's 12

Answer: 43

Step-by-step explanation: subsitute -2 into x

4(-2)^2 - 7(-2) + 13 = 43

Answer:

(4,1)

Step-by-step explanation:

After being reflected over the x=-3 line it will be (1,4)
then you reflect over the y=x line which makes it (4,1)

Answer:  2y = 3x

Reason:

The equation x:y = 2:3 is the same as saying x/y = 2/3

Cross multiply to get 3x = 2y which flips to 2y = 3x

Answer:

448m^3

Step-by-step explanation:

volume of pyramid  = 1/3*area of base * perpendicular height

12*16=192m^2

1/3*192*7=448m^3

Answer:

-5

Step-by-step explanation:

3 - 9 + 1 = -6 + 1 = -5

Hope this helped! I would appreciate a Brainliest!

(BTW, if you can, can you please answer my question? It's due today!)

Answer:

6

Step-by-step explanation:

Since this is a cube, and the lengths that are given are 1 mm, then you just add all the sides of a cube. There are 6 sides in a cube, 1+1+1+1+1+1=6

Answer:

Your answer is: 36!

Step-by-step explanation:

Hope this helped :)

Answer:

15

Step-by-step explanation:

15-6=9 so a-6=9

Answer:

17

Step-by-step explanation:

17-6=9 (to double check your work and make sure it's right you do the opposite [9+6=17] )

Answer:

6 days

Step-by-step explanation:

Relation :

6 tractors took 10 days. Now, we have 10 tractors. This means the number of tractors has increased by 10/6 = 5/3. Therefore, the number of days will become 3/5 of the original time.

Solving :

20f - 4 (5f + 4) + 16

= 20f - 20f - 16 + 16

= 0

Answer:

0

Step-by-step explanation:

Distribute terms in the parentheses

Answer:

the answer is figure A and C