The measures of the angles of a triangle are shown in the figure below. Solve for x.
to
76⁰
41

Therefore , to calculate the  average AVC, use the formula: TC at 0 output is 5, which equals fixed cost (FC) of 5.

The fixed cost per unit of output is known as the AFC, and the variable cost per unit of output is known as the AVC. We previously stated that Bob's Bakery can produce 100 loaves with FC = 40, VC = 500, and TC = 540. ATC = TC/Q = 540/100 = 5.4 as a result. Additionally, AVC = 500/100 = 5 and AFC = 40/100 = 0.4.

Here,

Total cost is equal to total fixed cost plus total variable cost, or TC.

In order to obtain the VC at each output, we must first subtract 5 from the TCs for all subsequent output levels.

AVC is now equal to VC divided by Q.

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Answer:

2 sessions for tennis and 1 for the other tennis club which would make it 60 each. 30 x 2 = 60 and 48 + 22 = 60

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Answer:

x = 50

Step-by-step explanation:

\( log_{10}(2x) = 2\)

Use the following property.

\( log_{a}(m) = n \\ {a}^{n} = m\)

\( {10}^{2} = 2x \\ 100 = 2x \\ \frac{100}{2} = x \\ 50 = x\)

Therefore, the value of x is 50.

Answer Check

Substitute x = 50 in the equation.

\( log_{10}(2x) = 2 \\ log_{10}(2(50)) = 2 \\ log_{10}(100) = 2 \\ {10}^{2} = 100 \\ 100 = 100\)

The equation is true. Therefore x = 50.

Note

If you don't write logarithm with base, it is classified as common logarithm or base 10.

The speed of the larger pulley is 20 radian

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

The speed of two connected pulleys given their diameters is given as:

d₁n₁ = d₂n₂

Where d₁, d₂ are their diameters and n₁, n₂ are their speeds

A belt connects a pulley of 2-inch radius with a pulley of 5-inch radius. If the smaller pulley turns through 50 radians, hence:

d₁ = 2 in, n₁ = 50 rad, d₂ = 5 in:

d₁n₁ = d₂n₂

2(50) = 5(n₂)

n₂ = 20 rads

The larger pulley turn with 20 radian

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I'll get 32 jelly beans

Amount of jelly beans shared = 56

My fraction = 4/(4+3) = 4/7

My sister's fraction = 3/(4+3) = 3/7

The number of jelly beans that I'll get will then be:

= My fraction × Number of jelly beans

= 4/7 × 56

= 4 × 8

= 32

Therefore, I'll get 32 jelly beans

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Answer: x= 1/2y+2

Step-by-step explanation:

Answer:

End Balance: $5,160.00

Total Interest: $2,160.00

Step-by-step explanation:

Total Interest =$3000 × 2% × 3 × 12

=$2,160.00

End Balance =$3000 + $2,160.00

=$5,160.00

Answer:

can we get the options

Step-by-step explanation:

Answer:

A. 90 sq. units

Step-by-step explanation:

5(18) = 90

Step-by-step explanation:

Initial velocity ,u= 14 m/s

a =_g

= 9.8 m/s

velocity at highest point,v=30 m/ s

=2as=v sqare _u square

=s= 35.99 m

Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

Answer:

3.15

Step-by-step explanation:

Divide the total of $6.30 with the 2 jars of peanut butter.

Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.

Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.

The amount of fabric used to make the number cube is given as follows:

C. 294 cm².

The amount of fabric used to make the number cube is represented by the surface area of the number cube.

The surface area of a cube of side length a is given by the equation presented as follows:

S = 6a².

The side length for this problem is given as follows:

a = 7 cm.

Hence the surface area of the cube is calculated as follows:

S = 6 x 7²

S = 294 cm².

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Answer:

6

Step-by-step explanation:

The rotational symmetry for a hexagon is 6 as it is a regular polygon.

Answer: 9/4

Step-by-step explanation:

Reciprocal means flip the fraction

The reciprocal of 4/9  is  9/4

Answer: the rciprocal is 9/4

Step-by-step explanation:

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that \(P(A) = 0.67\)

The probability she passes the second course is 0.7.

This means that \(P(B) = 0.7\)

The probability she passes at least one of the courses is 0.79.

This means that \(P(A \cup B) = 0.79\)

a. What is the probability she passes both courses

This is \(P(A \cap B)\).

We use the following relation:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

So

\(P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58\)

0.58 = 58% probability she passes both courses

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

Answer:

3      2

6      2

Step-by-step explanation:

a/(a + b) = 0.6

b/(a + b) = 0.25

c/(c + d) = 0.3333 = 1/3

d/(a + d) = 0.5

Answer:

3 2

6 2

Step-by-step explanation:

The domain of the function g(x) is x >= 5

The complete question is added as an attachment

From the graph, we have the smallest value of x to be 5.

And the value of x increases to the right

This means that:

x >= 5

Hence, the domain of the function g(x) is x >= 5

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The range of a graph of a function is (-∞, 3) U (3, ∞) option (D) (-∞, 3) U (3, ∞) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The graph of a hyperbola function is given.

As we know the graph of an inverse of a function is reflections over the line y=x.

We get the same graph as given in the picture.

The range of a graph of a function:

Range: (-∞, 3) U (3, ∞)

Thus, the range of a graph of a function is (-∞, 3) U (3, ∞) option (D) (-∞, 3) U (3, ∞) is correct.

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Answer:

9/64

Step-by-step explanation:

it is just 3/8 x 3/8

Answer:

it is 900

Step-by-step explanation:

you multiply 1200 by 0.75

Answer:

Answer:75% of 1200

Answer:75% of 1200(100-75%)=25%

Answer:75% of 1200(100-75%)=25%25*1200/100

Answer:75% of 1200(100-75%)=25%25*1200/10030,000/100

Answer:75% of 1200(100-75%)=25%25*1200/10030,000/100300

Answer:

Lines 1 and 2 are parallel because they have the same slope

Step-by-step explanation:

slope of line 1 = 1/2

slope of line 2 = 1/2

slope of line 3 = 4

slope of line 4 = 14

how to find slope of line 2, solve for 'y':

x - 2y = -1

-2y = x - 1

y = 1/2x + 2

how to find slope of line 4, simplify for 'y':

y + 3 = 1/4x - 1/4(6)

y = 1/4x - 6/4 - 3

y = 1/4x -6/4 - 12/4

y = 1/4x - 18/4

A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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Answer:

A: On average, the number of students going to an office hour varies from the mean by about 2.2 students.

Step-by-step explanation:

We are given that:

- Random variable Q is used to represent the number of students who go to a certain teachers office hour each day.

-The standard deviation of Q is 2.2.

Now, standard deviation in relation to mean is defined as the statistic that measures the dispersion of a set of data relative to its mean.

Applying that definition to the question means that the number of students on the average varies from the mean by 2.2.

Thus, option A is correct.

Answer:

A: On average, the number of students going to an office hour varies from the mean by about 2.2 students.

Step-by-step explanation:

I second the person below me i got it right on asigmnemnt  

Answer:

Step-by-step explanation:

The area of the rectangular floor is the product of its length and width:

  A = LW = (21 ft)(9 ft) = 189 ft²

The volume of the pod is the product of that floor area and the height:

  V = Bh = (189 ft²)(7 ft) = 1323 ft³

The area of the floor is 189 ft²; the volume of the pod is 1323 ft³.

Answer:

k is -6

Step-by-step explanation:

first you need to simplify:

-6k+42=36-7k

then get the same ones together

6=-k

k=-6

Answer:

mode = no mode. median = 133, mean = 133

Step-by-step explanation:

mode = most common value. all of the values appear once. so there is no mode.

median = arranging the data in numerical order, then finding middle value.

there are 8 values. we have 4 on one side (124, 126, 128, 130) and 4 on the other (136, 137, 140, 143).

median is halfway between 130 and 136. that is 133.

mean = add up the values/ how many there are

adding them up, you get 1064. there are 8 values.

mean = 1064/8 = 133