B. If the TV network produces 10 episodes, and each episode makes the network $12,000, how much will their 5% commission be? Show all your work in detailed and organized steps ​

We can start solving the problem by using algebra. Let x be the total length of the movie in minutes. Then we know that:

1/3 of the movie is x/3 minutes.

1/5 of the movie is x/5 minutes.

We are told that Joshua watched 1/3 of the movie in the morning and had 1/5 of the movie left to watch at night. Therefore, we can set up the equation:

x/3 + y = x/5, where y is the length of the movie that Joshua watched at night.

We can then solve for y by isolating it on one side:

y = x/5 - x/3

We know that 1/3 + 1/5 = 8/15.

We can simplify by multiplying both sides of the equation by 15:

y = (8/15)*x = 8x/15

We can conclude that Joshua watched 8/15 or approximately 53.33% of the movie at night.

If a and b are positive integers such that a^3b = x and a^b = y then x/y² is solved to be y

The problem is solved by simplifying and substitution

Simplifying the expression a^3b = x and a^b = y will result to

a^(b3) = x and a^b = y

y^3 = x

substituting y^3 = x into the equation x/y²

= x / y²

= y³ / y²

apply power rule

= y³ ⁻ ²

= y

hence the solution of the equation x/y² while considering that a^3b = x and a^b = y will result to a solution of y

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Based on the box plot concept and the available options, the box plot that correctly represents the data is option A.

Box plot is a term that is used to describe the box and whisker plot which shows the five-number summary of a set of data.

Generally, this five-number summary is the minimum, first quartile, median, third quartile, and maximum.

Make a box plot of the data.

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Recall that Q1 = 54, the median is 58, and Q3 = 62

Also, the min is 52 and the max is 64.

Therefore, when we draw the box from Q1 to Q3 and from Q1 to the min, and from Q3 to the max, we have option A as the answer.

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The tennis ball's initial height is 19 feet.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, a tennis ball is dropped from a certain height.

Its height in feet is given by h = -16t²+19 where t represents the time in seconds after launch.

Initial height is 0

-16t²+19 =0

16t²=19

t²=19/16

t=√(19/16)

t=√1.1875

t=1.089 seconds

So, the initial height is 19

Therefore, the tennis ball's initial height is 19 feet.

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Answer:

true

Step-by-step explanation:

i think

False, while co-authoring in Excel enables collaboration and real-time editing, it may not support all advanced features and functionalities available in a single-user environment.

In a co-authoring environment, where multiple users collaborate on an Excel document simultaneously, not all Excel features are supported. While many basic features and functions can be used in a co-authoring setting, certain advanced features may not be fully compatible or functional.

Co-authoring in Excel typically supports common features such as data entry, formatting, basic calculations, and simple formulas. However, features that involve complex dependencies, extensive macros, advanced charts, or specialized add-ins may not function as expected or may be disabled in a co-authoring scenario.

It's important to note that the specific features supported in a co-authoring environment can vary depending on the version of Excel being used, the collaboration platform, and any restrictions or limitations set by the administrator or hosting service.

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The calculations 4(2/9) is 8/9 1, 2(2/5) is 4/5 1, and 8(2/5) is 16/5 > 1, 6×(1/5) is 6/5 > 1, 5×(1/4) is 5/4 > 1.

If q is less than 0, a fraction is expressed as p/q. A proper fraction is one that follows the rules, and an improper fraction is another. The numerator in proper fractions is less than the denominator, whereas in improper fractions, the opposite is true.

We are aware that when multiplying fractions, we can eliminate terms from the numerator and denominator of other fractions to make the problem simpler, and we can also multiply numerators and denominators together.

∴ 4×(1/4) = 1.

4×(2/9) = 8/9 < 1.

2×(2/5) = 4/5 < 1.

8×(2/5) = 16/5 > 1.

6×(1/5) = 6/5 > 1.

5×(1/4) = 5/4 > 1.

The calculations 4(2/9) = 8/9 1, 2(2/5) = 4/5 1, and 8(2/5) = 16/5 > 1, 6×(1/5) = 6/5 > 1, 5×(1/4) = 5/4 > 1.      

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Fraction 4(2/9) is 8/9 < 1> 1, 6×(1/5) is 6/5 > 1, 5×(1/4) is 5/4 > 1.

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To solve inequalities in 9th grade:  simplify the algebraic expressions by combining like terms and isolating the target variable, then applying the mathematic operators.

Inequalities is taught in 9th grade. To solve the inequality:

-  First, simplify the expression: open the parentheses of algebraic expression, combine the terms like, and isolate the target variable.

- Use mathematic operators such as: addition, subtraction, multiplication, and division. All mathematic operations must be done on both sides. Addition and subtraction do not change the inequality. Multiplication and division with positive numbers will not change the inequality.

Multiplication and division with negative numbers will change the sign of the inequality.

Example:

Solve the inequality: 3(x + 2)  <  7x - 18

Step 1: Open the parentheses.

3(x + 2)  <  7x - 18

⇔ 3x + 6 < 7x - 18

Step 2: Subtract both sides with 7x and 6, this operation does not change the inequality sign

3x + 6 - 7x -6 < 7x - 18 - 7x - 6

-4x < -24

Step 3: Divide both sides with (-4). Since we divide with negative numbers, flip the inequality sign.

-4x/(-4) > -24/(-4)

x > 6

Hence, the solution is x > 6

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Answer:

First, we need to simplify the expression by combining like terms. We have -4 + 3x^2-3 and -1. We can combine the like terms -4 and -1 to get -5.

Now, the expression can be rewritten as -5 + 3x^2-3. Next, we need to use the order of operations to evaluate the expression. The first step is to simplify any terms within parentheses, so we simplify 3x^2-3 to 3x^2-3 = 3x^2-3.

Now, the expression can be rewritten as -5 + 3x^2-3. The next step is to perform any multiplication or division, so we multiply 3 with x^2 to get 3x^2.

The expression is now -5 + 3x^2. The last step is to perform any addition or subtraction, so we add -5 and 3x^2 to get 3x^2-5.

Therefore, the answer to the expression is 3x^2-5.

Answer: Shed 1: 291,600 units^3. Shed 2: 130,000 units^3. Shed 3: 93,312 units^3. Shed 4: 2,160 units^3

Step-by-step explanation:

15 times 9 times 2,160 = 291,600

10 times 10 times 1300 = 130,000

12 times 9 times 864 = 93,312

15 times 12 times 12 =2,160

The formula for the given T-chart is f(x)=x-6. T-shaped graphic organiser used to divide information into two categories. A T chart can be used to contrast two ideas, list benefits and drawbacks, separate facts from opinions, and more.

T Charts are frequently used to compare facts and opinions, problems and solutions, and pros and cons.

A timeline is a diagram that shows the progression of the use of a group of resources. A timeline is frequently a sensible visualisation option if you're managing a software project and want to show who is doing what and when, or if you're planning a conference and need to schedule meeting rooms.

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Answer:

The expression below, 4x=20 when x=5.

Step-by-step explanation:

4(5)=20

Answer: To solve a 3-step equation, you can follow these steps:

Simplify both sides of the equation, if necessary, by combining like terms.

Isolate the variable on one side of the equation.

Use inverse operations to solve for the variable.

Check your solution by substituting it back into the original equation.

Example:

Solve for x: 2x + 5 = 11

Subtract 5 from both sides of the equation: 2x = 6

Divide both sides of the equation by 2: x = 3

Check your solution by substituting x = 3 back into the original equation: 2(3) + 5 = 11

The solution is x = 3.

It's important to note that a 3-step equation is not a specific term, it just means an equation that can be solved in 3 steps. It can be a linear equation or quadratic equation or any other type of equation.

Step-by-step explanation:

A heptagon is a seven-sided polygon. It is also sometimes called a septagon, though this usage mixes a Latin prefix sept- (derived from septua-, meaning "seven")

Polygon Formula

The important polygon formulas are: The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n.

with the Greek suffix -gon (from gonia, meaning "angle"), and is therefore not recommended

This polygon has 7 sides

heptagon is a seven sided polygon

decagon is a ten sided polygon

dodecagon is a 12 sided polygon

hexagon is a six sided polygon

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Answer:

5, 0, Undefined.

Step-by-step explanation:

Answer:

1) 5

2) 0

3) Undefined

Slope is a measure of steepness of a line. In Algebra 1, It is how much the y-value changes when the x-value increases by 1.

y-intercept is the y-value of the line when it intersects with the y-axis, or the y-value of the line when the x-value of the line is 0.

This form is the most common form for expressing linear equations for graphing and is used when the slope and y-intercept is known.

Form

y = mx + b

Lets break it down. y and x stay as a variable when graphing is it only substituted for a constant when solving for x-intercept, etc.

m is the slope.

b is the y-intercept.

Q1

y = mx + b

y = 5x

Because 5 is the m value, the slope is 5.

Q2

y = mx + b

y = 3

Think about it. What cancels out any real value? Multiplying it by 0. If there is no coefficient behind the x, it means the slope is 0.

y = 0x + 3 = y = 3

Because 0 is the m value, the slope is 0.

When y is equal to a constant after solving, it is a horizontal line with the y-intercept of the constant it is equal to (in this case 3).

Q3

y = mx + b

x = 5

The slope is undefined.

When x is equal to a constant after solving, it is a straight vertical line with the x-intercept of the constant it is equal to (in this case 5). The slope is always undefined.

The equation [tex]7x-2x^{2} =0[/tex] is said to be a quadratic equation as the highest degree is 2.

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no other term which is raised to a higher power than 2.

The given equation is [tex]7x-2x^{2} =0[/tex].

As we know that, a quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.

On comparing equation [tex]7x-2x^{2} =0[/tex] with standard form of quadratic equation [tex]ax^{2} +bx+c=0[/tex], we get, a = -2, b = 7,c = 0.

Thus, the equation [tex]7x-2x^{2} =0[/tex] is a quadratic equation.

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The formula for calculating the anticipated value of y, known as the "fitted value," is y I = b 0 + b 1 x i.

Determine the graph's slope and a point first. Write a linear equation in slope-intercept form (y = mx + b) once this is finished.

Rewrite the equation using the supplied point (x, y) and slope (m), inserting the correct values for x, y, and m.

To find the y-intercept using this information, calculate the equation for b.

Find the two points in a graph or table that are displayed.

Take note of each point's coordinates (x, y) first. Find the rise and run to determine the slope using this information.

Y-coordinate difference divided by the.

Hence, The formula for calculating the anticipated value of y, known as the "fitted value," is y I = b 0 + b 1 x i.

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The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees. The correct option is C.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

The measures of two supplementary angles total 180 degrees.

The measure of angle y is 65 degrees less than the measure of angle x.

Let the measure of angle y is m∠y.

And the angle measure of x is m∠x.

So,

m∠x + m∠y = 180°   {equation 1}

And according to the question,

m∠y = m∠x - 65°        {equation 2}

Substituting the value from equation 2 to equation 1,

2m∠x = 180 + 65

m∠x = 245/2

m∠x = 122.5°

And m∠y = 122.5 - 65

m∠y = 57.5°

Therefore, the angle measures are m∠x = 122.5° and m∠y = 57.5°.

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The future value of Joshua's account in 2 years, given the deposits and the interest, is $ 2, 108.21

The fact that the amount that Joshua Levine deposits is a constant amount of $ 250, makes it an annuity. It is ordinary because it is deposited at the end of the period.

To find the value of this annuity, first find the periodic interest :

= 6 % / 4 quarters per year

= 1 . 5 %

Then find the number of periods :

= 2 years x 4

= 8 quarters

The future value is:

= Annuity x Future value interest factor, 8 periods, 1. 5%

= 250 x 8.4328391063537

= $ 2, 108.21

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Answer:

c

Step-by-step explanation:

welcome

The solution is Option A.

The proportion is given by 21 : 35 : : 24 : 40

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

a)

The four set of numbers are = { 21 , 35 , 24 , 40 }

Now , the ratio of 21/35 = 3/5

The ratio of 24 / 40 = 3/5

Therefore, the proportion is expressed as

A = 3 : 5

And , the proportion equation is

21 : 35 : : 24 : 40

Hence , the proportion is 21 : 35 : : 24 : 40

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The area of a triangle with the base of 7 cm and the height of 12 cm is 42 square cm.

In the given question we have to find the area of a triangle with the base of 7 cm and the height of 12 cm.

The entire area bounded by a triangle's three sides is referred to as the triangle's area. In essence, it equals half of the base times height, or A = 1/2bh. So, in order to calculate the area of a triangular polygon, we need to know its base (b) and height (h).

Area of Triangle = 1/2 ×b×h

Area of Triangle = 1/2 ×7×12

Area of Triangle = 7×6

Area of Triangle = 42 square cm

Hence, the area of a triangle with the base of 7 cm and the height of 12 cm is 42 square cm.

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The equation of the line in slope intercept form is y = 1 / 2x - 9 / 2.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the slope of the line is 1 / 2 and the line passes through (5, -2).

Hence,

y = 1 / 2 x + b

let's find the y-intercept using (5, -2)

Therefore,

-2 = 1 / 2 (5) + b

b = -2 - 5 / 2

b =  -4 - 5/ 2

b = -9 / 2

Therefore, the equation of the line is y = 1 / 2x - 9 / 2

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In the three column table the value of B is 20, and option I is the correct answer.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

From the information given, it's important to calculate the constant of proportionality. In this case, for C, we have 28 part and 40 whole, the constant will be:

Constant = Whole / Part

= 40/28

= 1.428

Therefore, the value of B will be:

Whole = Part × Constant

Whole = 14 × 1.428

B = 20

Hence in the three column table the value of B is 20, and option I is the correct answer.

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Answer:B=20

Step-by-step explanation:

i did the math

The number of books Sophia and her brother read is 32 and 8 respectively.

Given that,

The total number of books = 40 books

The number of books Sophia read = 4[The number of books Sophia's brother read]

Assuming that the number of books Sophia's brother read = a

So, the number of books Sophia read = 4a

Thus,

a + 4a = 40

Solving the equation further, we get:

5a = 40

a = 8

The number of books Sophia's brother read = 8 books

Hence, the number of books Sophia read = 32 books

Therefore, The number of books Sophia and her brother read is 32 and 8 respectively.

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The 10 examples of substitutes good and services are :

Similar products that a client may employ for the same purpose are substitute goods. If the product they prefer is offered, your customers might buy it, but they might also look at alternatives if the price, the product's availability, or its quality changes. The demand for an item is frequently affected by these changes as well.

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Becuase a pig and a chicken each have one head each and we know there are 80 heads, we know that: C + P = 80. When you combine these equations, we find that there are 32 Pigs and 48 Chickens.

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Answer:

Part 1

[tex]\boxed{r = 8.9 \;cm}[/tex]

Part 2

[tex]\boxed{SA=995.4\;cm^2}[/tex]

Step-by-step explanation:

If r is the radius of a sphere

Volume of a sphere:
[tex]V = \dfrac{4}{3}\pi r^2[/tex]

Surface Area
[tex]SA = 4\pi r^2[/tex]

Part 1
We are given volume = 3,000 cm³

Setting this to volume to the equation for volume gives
[tex]3000 = \dfrac{4}{3} \pi r^3\\\\[/tex]

Multiplying both sides by 3/4 yields

[tex]\dfrac{3}{4}\cdot 3000 = \pi r^3\\\\2250 = \pi r^3\\\\r^3 = \dfrac{2250}{\pi}\\\\r^3 \approx 716.1972\\\\\\r = \sqrt[3]{716.1972} \\\\r = 8.947\\\\\\\textrm{Rounded to the nearest tenth:}\\\\\boxed{r = 8.9 \;cm}\\\\\text{(Answer\;Part 1)}\\[/tex]

Part 2

Using r = 8.9 cm we can compute the surface area SA using the formula for surface area

[tex]SA = 4\pi r^2\\\\SA = 4\pi (8.9)^2\\\\SA = 995.38\;cm^2\\\\\textrm{Rounded to the nearest tenth:}\\\\\boxed{SA=995.4\;cm^2}\\\\\textrm{(Answer Part 2)}[/tex]

Slope and a point that is not an intercept is the information about the graph of the relationship is given.

The rate of painting is 8 m²/h.

28 square meters of the room are still left to paint after three hours. Let y represent the area in square meters that needs painting after x hours. We require a corresponding (x,y) pair in order to describe a point on a graph. In our situation, we require data on the rate of change in the correlation between the area still needing painting and the time after business hours. Hiro can paint eight square meters per hour. Thus, the equation Y = 8x, or the associated slope, is 8. (1)

By entering the number Y = 28 square meters into the previous formula 28 = 8X

=> X = 7/2

It is not an intercept but the point (7/2, 28).

Alternatively put, the location that is not the intersection with the slope

Your question is incomplete but most probably your full question was

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint. Let y represent the area (in square meters) left to paint after x hours.

Which of the following information about the graph of the relationship is given?

a)Slope and x-intercept

b) Slope and y-intercept

c)X-intercept and y-intercept

d) Y-intercept and a point that is not an intercept

e)Two points that are not intercepts

f)Slope and a point that is not an intercept

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