suppose that average total cost is $36 when q=24. what is the profit-maximizing price and resulting profit?

Answer:

Step-by-step explanation:

basically all you do is

Answer:

x =83

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

x+43 = 126

Subtract 43 from each side

x = 126 -43

x =83

Let's take this problem step by step:

For the angle adjacent to the exterior angle of 126°:

  ⇒ exterior angle plus the that angle is equal to 180 degrees

      ⇒ since it is on a straight line

                 [tex]126 + that_.angle=180\\\rm \hookrightarrow that.angle=180-126\\\rm \hookrightarrow that.angle=54[/tex]

The sum of all the angles in a triangle is: 180°

                [tex]that.angle+43+x=180\\\rm \hookrightarrow 54+43+x=180\\\rm \hookrightarrow 97+x=180\\\rm \hookrightarrowx=83[/tex]

The size of angle x is 83°

Answer: 83°

Hope that helps!

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The variance of the probability distribution is 400

The Variables of X and their Probability Distribution.

To find Variance, first we should find out Mean and then Variance

The expected value of a discrete random variable X, symbolized as E(X), is often referred to as the long-term average or mean (symbolized as μ)

The variance of a probability distribution is symbolized as σ2. To find the variance σ2 of a discrete probability distribution, find each deviation from its expected value, square it, multiply it by its probability, and add the products.

Step – 1: Calculation of Mean                               Step – 2: Calculation of Standard Deviation= σ2=∑(x−μ)²P(x)

Mean = X * P(X)     Variance = Sum of (X – Mean)²*P(X)

X P(X) X*P(X)

-50 0.029 -1.45

-30 0.121 -3.63

-10 0.210 -2.1

10 0.485 4.85

30 0.145 4.35

50 0.010 0.5

Mean  2.52

X  P(X) X - Mean  (X – Mean)² (X – Mean)²*P(X)

-50 0.029 -52.52 2758.35                 79.99216

-30 0.121 -32.52 1057.55                 127.9636

-10 0.210 -12.52 156.7504         32.91758

10 0.485 7.48          55.950                  27.13594

30 0.145 27.48 755.1504         109.4968

50 0.019 47.48 2254.35                 22.5435

Variance=400.00

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Answer:

Step-by-step explanation:

Step-by-step explanation:

Hi there!

According to the question;

The gradient of line is 1/2 and passes through the point (4,-2).

Since, It has one point and gradient we use one point formula to find the equation of the line.

Note:

One point formula: (y-y1) = m (x-x1)

(4,-2) = (x1,y1)

So, using this formula we get;

(y+2) = 1/2(x-4)

Multiply both sides by 2.

2(y+2) = (1/2)*2(x-4)

2y+4 = x-4

Take 2y+4 in right side

0 = x-4 - (2y+4)

Therefore, x-2y-8 = 0 is the required equation.

Hope it helps!

Hi there!

We're given the following information:

With this information, we can go ahead and plug the data into the point slope equation: y - y₁ = m(x - x₁).

Plug in 1/2 for m, and (4,2) for x1 and y1:

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

[tex]\sf{y-(-2)=\dfrac{1}{2}(x-4)}[/tex]

[tex]\sf{y+2=\dfrac{1}{2}(x-4)}[/tex]

[tex]\sf{y+2=\dfrac{1}{2}x-2}\\\sf{y=\dfrac{1}{2}x-2-2}\\\\\sf{y=\dfrac{1}{2}x-4}[/tex]

Hence, y = 1/2x - 4.

I hope that helps! :)

Answer:

4:1

Step-by-step explanation

this should be the answer from how  u gave the question, also can i get brainliest ;)

Using translation concepts, it is found that the graph of function g if g(x) = f(x) − 11 is a shift down of 11 units of function f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) = f(x) − 11 represents a shift down of 11 units of function f(x).

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Answer:

98798765

Step-by-step explanation:

67654678765

The numeric values of the given expressions are given as follows:

1) 2.

2) -3.

We find the numeric value of an expression replacing all instances of x by the number.

The expression 1 is:

3 + x + (-7) = 3 + x - 7 = x - 4.

When x = 6, the value is:

x - 4 = 6 - 4 = 2.

The expression 2 is:

x + (-5) + 5 = x - 5 + 5 = x.

Hence, when x = -3, the value is:

x = -3.

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Answer:

[tex]\huge\boxed{E.\ 5^{4+x}}[/tex]

Step-by-step explanation:

Use:

[tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]5^4\cdot5^x=5^{4+x}[/tex]

Answer:

y = (- 2/3)x - 3

Step-by-step explanation:

y = mx + c

y = (- 2/3)x + c

- 1 = (- 2/3)(-3) + c

-1 = 2 + c

c = - 3

Therefore,

y = (-2/3)x - 3

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = mx + b

y = y coordinate              → given: - 1

m = slope                        → given: - 2/3

x = x coordinate              → given: - 3

b = y intercept                 → need to find

y = -2/3x + b → -1 = -2/3(-3) + b

-1 = 2 + b

subtract 2 from both sides

-1 - 2 = 2 - 2 + b

-3 = b

y = -2/3x - 3

Answer:

F(-2) = 7

Step-by-step explanation:

 Finding a specific point on a function given the x position can be done by substituting x in the function for the given number, then solving said function. The value on the right side of the function is the y position.

For this specific function [F(x) = x² + 3], substitute x for -2.

F(-2) = (2)² + 3

Next, solve the equation.

F(-2) = 4 + 3

F(-2) = 7

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

Required answer: f(2) = -1

Detailed explanation:

To find f(-2), we will substitute -2 for x in the function:

[tex]\bf{f(x)=-x^2+3}[/tex]

[tex]\bf{f(-2)=-(-2)^2+3}[/tex]

[tex]\bf{f(-2)=-4+3}[/tex]

[tex]\bf{f(-2)=-1}[/tex]

[tex]\hrulefill[/tex]

Have a wonderful day!

The range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

A range refers to the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range is the solution set on the y-axis.

Based on the graph of the two points, we can logically deduce the following information:

Therefore, the range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

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Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Wilma is 5 times as old as yvonne, hence:

x = 5y.

In ten years, yvonne's age will be a third of wilma's age, hence:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

Since x = 5y:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

[tex]y + 10 = \frac{1}{3}(5y + 10)[/tex]

3y + 30 = 5y + 10

2y = 20.

y = 10.

Then:

x = 5y = 5 x 10 = 50.

Wilma is 50 years old and Yvonne is 10 years old.

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Answer:

B.    [tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]

Step-by-step explanation:

[tex]let \space\ y = f(x)\\\\y = 9x -3\\[/tex]

• Now make x the subject of the equation:

[tex]9x = y + 3\\\\x = \frac{y + 3}{9} \\[/tex]

• Replace x with f⁻¹(x) and y with x:

[tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]

Answer:

Con qué necesitas ayuda?

Step-by-step explanation:

There were 144 students when the contest began

Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.

On the basis of given data :

Let the total number of students are x

50% of the students are eliminated after the first round

the remaining students are 0.5x

After the second round = (1/3) * 0.5 x were remaining

and

(1/3) * 0.5 x = 24

then solving this equation will give the total number of students

0.5x = 24 * 3

x = 24*3 /0.5 = 144

Therefore there were 144 students when the contest began

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Answer:

multiply 2×3 to get 6and then multiply 6×4 to get 24

Answer:

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Explanation:

Original Answer : 2 × 3 × 4 = 24

1) 12 × 6 = 72

2) 6 × 12 = 72

3) 12 × 2 = 24

4) 6 × 4 = 24

5) 6 × 12 = 72

Hence, only option 3 and 4 is correct.

Answer:

A

Step-by-step explanation:

she worked a total of 34 hours , then

x + y = 34

earnings are $10 per hour babysitting , that is 10x for x hours

$15 per hour for yardwork, that is 15y for y hours

she made a total of $410 , then

10x + 15y = 410

system of equations is

x + y = 34

10x + 15y = 410

Answer:

(9, 3 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 9, 3 ) → (9, 3 )

The absolute value of -1 is 1 and -3/7 is 3/7.

We have given that,

(-1, -3/7)

We have to determine the absolute value of (-1, -3/7)

The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, [tex]{\displaystyle |x|=x}[/tex]if x is a positive number, and [tex]{\displaystyle |x|=-x}[/tex] if x is negative, and[tex]{\displaystyle |0|=0}[/tex].

Therefore the absolute value of -1 is 1 and -3/7 is 3/7.

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Answer:

y-2=1/3(x-3)

Step-by-step explanation:

please mark me as brainlest

Answer: y-2=1/3(x-3), which is Choice [B]

Step-by-step explanation:

Hii, do you need to know the answer to your question? No problem! (:

First, do you remember what the "point-slope" formula is? It's

y-y1=m(x-x1)

Now it's just a matter of sticking in the known values.

y-2=1/3(x-3)

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

[tex]\bigstar\underbrace[/tex]

Answer:

5.0×10⁷

Step-by-step explanation:

(3÷6)×(10⁴÷10^-4)

(0.5)×(10⁸)

5.0×10^-1×10⁸

5.0×10⁷

[tex] \frac{3 \times {10}^{4} }{6 \times {10}^{ - 4} } \\ \\ \frac{1 \times {10}^{4 - ( - 4)} }{2 } \\ \\ \frac{ 1 \times {10}^{4 + 4} }{2} \\ \\ \frac{1 \times {10}^{8} }{2} \\ \\ 0.5 \times {10}^{8} .[/tex]

Triangles are similar and only differ in size meaning they are dilated

So first we have to find the scale factor of dilation (by how much the smaller triangle got bigger)

Find scale factor:

2.4a=4.8

z=2

Find x:

we multiply the original side of the small side with the scale factor of 2

2.8(2)=x

5.6=x

So, x=5.6

A system of inequalities can be solved graphically.

See attachment for the required graph

The inequalities are given as

[tex]x + 3y > 6\\y \geq 2x + 4[/tex]

The options are not given.

So, I have attached the graph that illustrates the solution to the system of inequalities.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

From the graph, we have the solutions as

[tex]x > -0.857[/tex]

[tex]y\geq 2.276[/tex]

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The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

A mathematical notion called the graph of the best estimate connects points spread throughout a graph.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.

As we can see in the graph,

Number of potatoes chopped = 80

number of hamburgers cooked = 30

Number of potatoes chopped = 90

number of hamburgers cooked = 20

Number of potatoes chopped = 95

number of hamburgers cooked = 10

Number of potatoes chopped = 100

number of hamburgers cooked = 14 (best estimate)

Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

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Answer:

100,58 meters

Step-by-step explanation:

You add 5,853 plus 4,205 to get 100,58 Meters. You add the number below and above sea water tog et the total height of the mountain.

Answer:

Mouna Kea is 10,058 meters high

Step-by-step explanation:

in order to calculate the whole height of the Mouna Kea you will need to add the base to the summit.

5,853 +4,205 = 10,058

Answer: No, the stand will not support the TV. It is too heavy.

Work Shown:

1 kg = 2.2 lbs approximately

21*1 kg = 21*2.2 lbs

21 kg = 46.2 lbs

A 21 kilogram tv is roughly equivalent to 46.2 pounds.

This exceeds the 40 pound weight limit, so this stand will not support it.

Answer: No

Step-by-step explanation:

Weight limit = 40 Lb

Weight given = 21 kg

Conversion factor

2.2 Lb = 1 kg

2.2 x 21 = 46.2

46.2 Lb = 21 kg

46.2 > 40, the stand cannot support the TV

Answer:

The value of K in free space is 9 × 109

Step-by-step explanation: