The table shows information about the meals
ordered at a restaurant.
Meal ordered
Frequency
Sandwich
11
Curry
12
Salad
7
If this information was shown on a pie chart,
how many degrees should the central angle of
the section that represents curry be?

The variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

It should be noted that the variable cost per unit will be calculated as:

= Difference in cost between high and low level activities / Difference in units

= (980 - 760)/(8000 - 6000)

= 220/2000

= 0.11

Therefore, the variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

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Force (F) = WSin(angle)

F = 2000×Sin(10)

Therefore, F = 347lb.

Answer:

6 + 8x

Step-by-step explanation:

The break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is: A. $1,724,138.

First step is to calculate the Variable costs

Variable costs = $500,000 + $250,000 + $275,000 + $750,000

Variable costs = $1,775,000

Second step is to calculate the Contribution margin ratio

Contribution margin ratio = (Sales - Variable costs) / Sales

Contribution margin ratio= ($3,500,000 - $1,775,000) / $3,500,000

Contribution margin ratio= 0.493×100

Contribution margin ratio =49.3%

Now let calculate the Break-even point

Break-even point = Fixed costs / Contribution margin ratio

Break-even point= ($600,000 + $250,000) / 0.493

Break-even point= $1,724,137.9

Break-even point =$1,724,138 (Approximately)

Therefore the break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is:$1,724,138.

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Answer:

Step-by-step explanation:

Given : the points A(-4,-8) and B(6,16),

Let d be the distance between A and B.

Then

[tex]d=\sqrt{\left( 16-\left( -8\right) \right)^{2} +\left( 6-(-4)\right)^{2} }[/tex]

  [tex]=\sqrt{\left( 24\right)^{2} +\left( 10\right)^{2} }[/tex]

  [tex]=\sqrt{676 }[/tex]

  [tex]=26[/tex]

Answer:

the answer to this problem Is C. x>-3

Answer:

Step-by-step explanation:

(F-G)(X)=x^4-x^3+2x-6

Answer:

4th option

Step-by-step explanation:

the distributive property is

a(b + c) = ab + ac

that is each term in the parenthesis is multiplied by a

Answer:

a(b+c)=ab+ac

Step-by-step explanation:

The distributive property is when it distributes the outside variable with whatever is in the parenthesis.

For example, 2(1+3) is 2(1)+2(3)= 2+6=8.

Answer:

8,999

Step-by-step explanation:

Cube root of 512 is 8.

cube root of 997002999 is 999.

Hi Student!

This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression.  So let's plug in the values and solve.

Plug in the values

Factor out the exponent

Combine

Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.

Answer:

[tex]\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = 3x^2 + mx +5 \text{ and } g(x) = nx^2 - 4x -2[/tex]

And that:

[tex]\displaystyle h(x) = f(x)\cdot g(x)[/tex]

With the given conditions that (1, -40) and (-1, 24) satisfy the new function, we want to determine functions f and g.

First, find h:

[tex]\displaystyle \begin{aligned} h(x) & = f(x)\cdot g(x) \\ \\ & = (3x^2 + mx +5)(nx^2 - 4x -2) \end{aligned}[/tex]

Because (1, -40) and (-1, 24) are points on the graph of h, we have that h(-1) = 40 and h(-1) = 24. In other words:

[tex]\displaystyle \begin{aligned} h(1) = -40 & = (3(1)^2 + m(1) +5)(n(1)^2 - 4(1) -2) \\ \\ & = (3 + m +5)(n-4 -2) \\ \\ & = (m+8)(n-6) \\ \\ -40 &= mn-6m+8n-48 \end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned} h(-1) = 24 & = (3(-1)^2 + m(-1) +5)(n(-1)^2 -4(-1) -2) \\ \\ & = (3 - m +5)(n + 4 -2) \\ \\ & = (-m+8)(n+2) \\ \\ 24 & = -mn -2m + 8n +16 \end{aligned}[/tex]

Solve the system of equations. Adding the two equations together yield:

[tex]\displaystyle -16 = -8m+16n - 32[/tex]

Solve for either m or n:

[tex]\displaystyle \begin{aligned} -16 & = -8m + 16n - 32 \\ \\ 16 & = -8m + 16n \\ \\ 8m & = 16n - 16 \\ \\ m & = 2n -2\end{aligned}[/tex]

Substitute this into one of the two equations above and solve:

[tex]\displaystyle \begin{aligned} -40 & = mn - 6m + 8n - 48 \\ \\ 0 & = (2n-2)n -6 (2n-2) + 8n -8 \\ \\ &= (2n^2 - 2n) + (-12n + 12) +8 n - 8 \\ \\ & = 2n^2 -6n + 4 \\ \\ & = n^2 - 3n + 2 \\ \\ &= (n-2)(n-1) \\ \\ & \end{aligned}[/tex]

Therefore:

[tex]\displaystyle n = 2 \text{ or } n = 1[/tex]

Solve for m:

[tex]\displaystyle \begin{aligned}m &= 2n-2 & \text{ or } m & = 2n-2 \\ \\ & = 2(2) - 1 &\text{ or } & =2(1) -2 \\ \\ &= 2 &\text{ or } & = 0 \end{aligned}[/tex]

Hence, the values of n and m are either: 2 and 2, respectively; or 1 and 0, respectively.

In conclusion, functions f and g are:

[tex]\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2[/tex]

Answer:

[tex]format \: examples \: )[/tex]

(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4

ANSWER: 405

The approximate base area of the resulting figure is 79 in²

An equation is an expression that shows the relationship between two or more numbers and variables.

The resulting figure formed from the rotation is a cylinder with a radius of 5 inches and height of 4 inches

Area of base = π * radius² = π * 5² = 79 in²

The approximate base area of the resulting figure is 79 in²

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Answer:

56

Step-by-step explanation:

Answer:

A) x=3

Step-by-step explanation:

I guess it's : [tex]x^{3} =27[/tex]
[tex]x^{3} =27[/tex]
[tex]x=\sqrt[3]{27}[/tex]
[tex]x = 3[/tex]

Answer:

if I remember I did this two days ago its was c

Yes, it is a function. Each numerical grade corresponds to one letter grade. Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Determine whether or not the situation describes a function.

The letter grade in this course is a function of your numerical grade.

Yes, it is a function. Each numerical grade corresponds to one letter grade.

Then the correct option is C.

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Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction

72 = k

y = [tex]\frac{72}{x}[/tex] ← equation of variation

when x = 8 , then

y = [tex]\frac{72}{8}[/tex] = 9

Answer:

See below

Step-by-step explanation:

distance / rate = time

5 miles / 110 m/hr = .04545 hr = 2.727 min = 2 min 44 sec = 1/22 hr

Answer: 2

Step-by-step explanation:

     We will first pull the data values.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

     Now, we will find the middle data value. This is the median.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

/,  /,  /, /, /, 2,  /,  /,  /,  /,  /

     Our median is 2.

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Answer:

B

About 16% of the books have fewer than 150 pages.

Step-by-step explanation:

Quizlet also said so

Answer:

59 cm

Step-by-step explanation:

First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.

Answer:

1. 0.75

2. 0.15

3. 1

Step-by-step explanation:

1. P(student is female) = 1 - 0.25 = 0.75

2. P(student is male and does not walk to school) = 0.25 × 0.6 = 0.15

3. P(student walks to school or does not walk to school) = 0.4 + 0.6 = 1

Answer:

The sum of the probabilities of all possible outcomes is 1.

Given:

Therefore:

Part (a)

[tex]\begin{aligned}\sf P(\textsf{female}) & = 1 - 0.25\\ & = 0.75\\ & = 75\%\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\sf P(\textsf{does not walk to school}) & = 1 - 0.4\\ & = 0.6\\ & = 60\%\end{aligned}[/tex]

[tex]\begin{aligned}\implies\sf P(\textsf{student is male and does not walk to school}) & = 0.25 \times 0.6\\ & = 0.15\\ & = 15\%\end{aligned}[/tex]

Part (c)

[tex]\begin{aligned}\implies\sf P(\textsf{student walks to school or does not walk to school}) & = 0.4+0.6\\ & = 1\\ & = 100\%\end{aligned}[/tex]

Answer:

111 (base 8) = 64 +8+1 =73(base10)

111 (base 2) = 4+2+1 =7(base 10)

Sum =73+7=80 (base 10)

8| 80|

8 | 10 | 0

8 | 1 | 2

8| 0 | 1

= 120 (base8)

80 (base10) = 120 (base 8)

Step-by-step explanation:

mark as brilliant

The next whole number after 111 in the base-two system is 1000.

In the base-two system (binary), the numbers are represented using only 0 and 1. After 111 in the base-two system, the next whole number is 1000.

To convert 1000 from base-two to base-ten (decimal), we can calculate as follows:

1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 = 8 + 0 + 0 + 0 = 8

So, the next whole number after 111 in the base-two system is 1000.

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The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

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The surface area of the large sphere is 128π cm²

Two spheres have volumes of 8π cm3 and 64π cm3. If the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere?

The given parameters can be represented using the following ratio:

Small Area : Large Area = Small Volume : Large Volume

Substitute the given parameters

16π : Large Area = 8π : 64π

Express as fraction

Large/16π = 64π/8π

Multiply both sides by 16π

Large = 128π

Hence, the surface area of the large sphere is 128π cm²

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Step-by-step explanation:

7

4

1

----

12

reality

6.833

3.594

1.369

----------

11.796

Answer:

C) x = 8√3 ; y = 4√3

Step-by-step explanation:

In this figure, the triangle is 30°-60° right triangle.

So x/12= 2/√3, y/12 = 1/√3

Answer:

C

Step-by-step explanation:

The measure of BE is 100

Sure hope this helps you

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.