differences on the dependent measure between the levels of one variable within one level of another variable are known as

Therefore , the total mileage penalty you owe is $1,002.56

In algebra, an equation is a well-formed formula that connects two expressions with the equals sign to express the equality of the two terms. For example, in French, an équation is described as comprising one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions connected with the equals sign.

Here,

Given:

a truck with a three-year lease and a 10,000-mile annual mileage cap

32 cents per mile penalty for overages

a) first year you drive 9,295 miles

therefore,

Projected Total Miles= Actual Average Miles per day * Length of Lease

9,125 miles = 25 * 365 days

Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease

10,000 miles = 10,000 / 12 months * 12 months

Projected Excess Miles = 0

Projected Lease-end Mileage Charge =Projected Excess Miles * Excess Miles Charge

$0.00 = 0 * $0.32

Therefore first year no excess milage penalty

b)second year you drive   11,040 miles

Projected Total Miles  Actual Average Miles per day * Length of Lease

10,950 miles = 30 * 365 days

Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease

10,000 miles = 10,000 / 12 months * 12 months

Projected Excess Miles =Projected Total Miles - Allowed Total Miles

1040 miles = 11,040 - 10,000

Projected Lease-end Mileage Charge = Projected Excess Miles * Excess Miles Charge

$332.8 = 1040 * $0.32

Therefore second year $332.8 excess milage penalty

C)third year you drive  12,093  miles

Projected Total Miles  Actual Average Miles per day * Length of Lease

10,950 miles = 30 * 365 days

Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease

10,000 miles = 10,000 / 12 months * 12 months

Projected Excess Miles =Projected Total Miles - Allowed Total Miles

2093 miles =12,093  - 10,000

Projected Lease-end Mileage Charge = Projected Excess Miles * Excess Miles Charge

$669.76= 2093 * $0.32

Therefore second year $669.76 excess milage penalty

Therefore , the total mileage penalty you owe is $669.76 + $332.8=$1,002.56

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The inequality that represents relationship the number of video games of Phillip and Emily is 18 + r < 30.

What are types of symbols to connect two expressions?

There are two types symbols that connect two expressions. One is known as equal sign and another one is inequality. There are various symbol under inequality and they are less than, greater than, less than or equal, greater than or equal.

Given that Phillip has 18 video games. Emily has r video games.

The number of video games that Phillip and Emily have is 18 + r.

Also given that together, Phillip and Emily have a combined total of less than 30 video games.

Thus 18 + r < 30

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Answer:

Step-by-step explanation:

You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.

Collecting terms, we have ...

  (8 +4)x +(-3 +3) = 180

  12x + 0 = 180

Dividing by the coefficient of x gives ...

  x = 180/12 = 15

The value of x is 15.

The correct option 1. the slope of Equation A is steeper because 4/5 is bigger than 2/5.

The format of a linear function is as follows:

y = ax + b

That where:

Given by: Linear equation A

y = 4/5 x.

Points (0, 2) and pass through linear equation B. (5, 4).

Given that changes in y divided by change in x determines the slope between two points, we have that:

m = (4 - 2)/(5 - 0)

m = 2/5

Equation A is steeper as it contains a higher slope, so the appropriate response is:

Due to the fact that 4/5 is greater than 2/5, Equation A has a steeper slope.

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The complete question is-

Linear equation A: y=45x

Linear equation B is represented by this graph.

A line that passes through points (0, 2) and (5, 4).

Which statement is entirely correct?

Answer: Yes

Step-by-step explanation: To determine if this graph represents a function, we use what is called the vertical line test.

In other words, if we can draw a vertical or straight up and down line that passes through more than one point on the graph, the relation is not classified as a function.

In this case, it's impossible to draw such a line that hits more than one point on the graph so the relation is a function.

A line's steepness can be determined by looking at its slope.Slope of the line is 15.

Determine the coordinates of two points along the line that you choose.Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run).

Slope of a line passing through two points (x1 ,y1)and will be given by,

Slope 'm' =y2 - y2/ x2- x1

Function 'f' passes through two points (0, 20) and (1, 35).

Slope of the line = 35 -20/1-0= 15

In a similar manner, function 'g' passes through (0, 22) and (1, 37).

Slope of the line = 37 - 22/ 1-0 = 15

Therefore, m1 = m2

Since, slopes of both the lines are equal, lines will be parallel.

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Answer:

karen will have enough for 14 people, and she will have 3 extra ducks left over

Step-by-step explanation:

divide 423 by 30

423/30 = 14

14 times 30 is 420, so subtract 420 from the total number of rubber ducks

423 - 420 = 3

so, karen will have enough for 14 people and 3 ducks will be left over !!

Answer:

Karen we'll have enough for 14 people and have 3 ducks left over.

2x^2 −3x +9=0 is the given equation that is quadratic.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax^2 + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable.

Quadratic expressions are those involving powers of x up to the second power, not the fourth power, hence the prefix quad signifies "four" rather than "two."

As highest power of variable is 2 so the expression 2x^2 −3x +9=0 is quadratic.

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The average deviation from the mean is 0.19 that can be calculated from the mean.

An average is calculated for a set of numbers that are of the same value range.

Mean = (32.52+32.14+32.61+32.75)/4 = %32.50

Standard deviation =

|32.50-32.52| = 0.02

|32.50-32.14| = 0.36

|32.50-32.61| = 0.11

|32.50-32.75| = 0.25

(.02+.36+.11+.25)/4= 0.19

So the standard deviation is 0.19

Relative deviation = .19/32.50=0.0058 or %0.58

Yes, %32.14, because it deviates too far from the average.

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The amount of fencing feet the city needs to enclose the pond is 94.29 feet.

Perimeter can be defined the total distance around an object.

To calculate the amount of fencing the city needs to enclose the pond, we use the formula for the perimeter of a circle.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the feet of fencing needed is 94.29 feet.

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The function simulates exponential decay, and it degrades by 5.1% for every increment in x.

Explosive increase and decay are common in situations where quantities change rapidly. It has been suggested that exponential development and decay follow a geometric progression. Quantities that change exponentially rather than continually are referred to be exponentially growing or decaying.

As per the given data in the question,

An exponential function with the formula y = a[tex]r^x[/tex] is the function that is given.

a = 330

r = 0.949

The function indicates exponential growth if the base r is larger than 1. The function shows exponential decline if indeed the base r is far less than 1. In this instance, the function depicts exponential decline because the base r is smaller than 1, or 0.949.

If we want to describe the rate of reduction as a percentage, we can remove the base r by 1 and multiply it by 100.

The rate of reduction as a percentage in this instance is:

1 - 0.949 = 0.051 ×100

= 5.1%.

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Answer:

Step-by-step explanation:

Answer:  c. [tex]\frac{1}{a}[/tex].

Step-by-step explanation:

10 = 2 - 4(ax - 3)

10 = 2 - 4ax + 12

10 = 14 - 4ax

Minus 14 on both sides.

-4 = -4ax

Divided -4 on both sides.

1 = ax

Divided a by both sides to solve x.

[tex]\frac{1}{a}[/tex] = x

Therefore, the answer is c.

The equation will be d(x+2y) = $1.40,where x = cost of dimes , y = cost of nickels, t = number of dimes.

What is an equation?

In mathematics, equation represent two expressions are equal.

e.g. x + 2y = 3,

Here , x + 2y is one expression and 3 is another, which are equated using equal to symbol.

Let's us consider ,

Number of dimes = t

Then number of nickels = 2t

Cost of one dime = x

Cost of one nickel = y

Then the total cost = xt +2yt

And total cost given = $1.40

So, the final equation = t(x+2y) = 1.40

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A parabola is a curved form that represents the graph of a quadratic function. The vertex of a parabola is one of its focal points. The highest or lowest point on the graph corresponds to it. Consider it similar to the parabola's endpoint.

What does the term "quadratic function" mean?

A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is the shape of a quadratic function's graph.

                 The basic "U" shape of a parabola is the same whether it opens upward or downward, or with a different "width" or "steepness."

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The ratio represents the number of votes for hot dogs to chicken is 2/5 ,

What is ratio?

Given,

Number of members voted for pizza = 6

Number of members voted for chicken = 10

Number of members voted for hot dogs = 20 - (10 +6) = 4

Now we have to determine the ratio represents the number of votes for hot dogs to chicken.

Number of members voted for hot dogs / Number of members voted for chicken = 4/10

= 2/5

Thus, the ratio represents the number of votes for hot dogs to chicken is 2/5.

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Answer: a₁₄=90x-31

Step-by-step explanation:

-x-5,  6x-7,  13x-9 ...

Hence,

a₁=-x-5

a₂=6x-7

a₃=13x-9

d=a₂-a₁

d=6x-7-(-x-5)

d=6x-7+x+5

d=7x-2

aₙ=a₁+d(n-1)

a₁₄=-x-5+(7x-2)(14-1)

a₁₄=-x-5+13(7x-2)

a₁₄=-x-5+91x-26

a₁₄=90x-31

Answer:

a. Point B

b. Point D

c. Point E

d. Point B

Step-by-step explanation:

See the attached image for a graphed solution with color-coded lines drawn.

The number of apples that Jayden bought is 4 and the number of bananas he wants to buy is 8.

The number of ways we can have twice as many bananas as apples is:

8 bananas 4 apples

10 bananas 5 apples

12 bananas 6 apples

The first step is to form of system of equations that represent the question:

x + 0.50y = 8  equation 1

y  = 2x equation 2

The substitution method would be used to determine the required values.

x + (0.50 x 2x) = 8

x + x = 8

2x = 8

x = 8 / 2

x = 4

Substitute for x in equation 2:

y  = (2 x 4)

y = 8

The total number of fruits bought is 12 (4 + 8):

The number of ways we can have twice as many bananas as apples :

8 bananas 4 apples

10 bananas 5 apples

12 bananas 6 apples

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Answer:

A) They have the same y intercept and the same rate of change

Step-by-step explanation:

Write the equation for the line passing through the points (2,4) and (12,7)

Slope [tex]\frac{7-4}{12-2}[/tex] = [tex]\frac{3}{10}[/tex] = .3

y intercept  (b)

y = mx + b

Use 2 fox x, 4 for y and .3 for m

y=mx + b

4 = .3(2) + b

4 = .6 + b    Subtract .6 from both sides

3.4 = b

The equation is

y = .3x + 3.4

The two equation are identical so the slope and y intercepts are the same.

compare the y-intercept and the rate of change of the following items. Option (d) The rates of change are the same, but the y-intercepts are different. is correct.

for rates,

we will find the slope of I and II

slope = dy/dx = change in y/change in x

for both of them when we compare the slope, it is 0.3.

for y-intercepts.

equation for II should be formed in order to compare with the y-intercept of I which is  3.4.

y-7=0.3(x-12) .................(i)

so, the y-intercept is 7 for II

thus, the y-intercepts of given eq are not equal.

The first step is to draw a line longer than the given AB line.

An area or portion of a line with two endpoints is referred to as a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.

A line can be extended on both ends forever while a line segment has endpoints.

Step 1: You are instructed to copy line segment AB.

Step 2: A line segment that is longer than line segment AB is drawn in step two. Identify C as one of its endpoints.

Step 3: Position the anchor on one endpoint of line segment AB and the pencil point on the other endpoint of the segment by opening your compass.

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This bad is because It can lead to adding variables with little or no predicative power.

Given,

In the question:

As more independent variables are added to a regression model, the coefficient of determination tends to increase.

How is this bad?

Now, According to the question:

Let's know:

What is meant by a regression model?

A regression model is a statistical model that estimates the relationship between one dependent variable and one or more independent variables using a line (or a plane in the case of two or more independent variables).

Hence, This bad is because It can lead to adding variables with little or no predicative power.

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The linear function that passes through (-8,4) and (4,5) will be y = (1/12)x + 14/3.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

A linear equation or function is given as ;

y = mx + b

The slope (m) associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope associated with (-8,4) and (4,5) will be as,

m = (5 - 4)/(4 + 8) = 1/12

Thus, y = (1/12)x + b

Put (4,5)

5 = (1/12)4 + b

b = 5 - 1/3

b = 14/3

Thus, y = (1/12)x + 14/3

Hence "The linear function that passes through (-8,4) and (4,5) will be y = (1/12)x + 14/3".

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The solution of i^100 = 1 is [tex]i^{100} = 1[/tex] .

Simplify

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Power

In mathematical relationships, power is referred to the number of times a number is multiplied by itself meaning the number you get raising a number to an exponent whereas an exponent can be defined as the number of times the number is used in a multiplication. Exponents are often known as powers or indices.

Exponents

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.

Rewrite [tex]i^{100}[/tex] as [tex](i^{4} )^{25}[/tex]

One to any power is one.

1

From the fact that [tex]i^{2}[/tex] = −1,

Then

([tex]-1^{50}[/tex]) = 1 as −1 raised to any even power is 1.

[tex]i^{100} = 1[/tex]

i^100 = 1

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By using the hypothesis test, to determine whether the mean of tickets is not equal to $125 is calculated as 58%.

We must compute the sample's z-score using the sample mean and standard deviation in order to determine the p-value for this hypothesis test. The z-score calculates how far the sample mean deviates from the population mean by standard deviations.

The difference between the two means is $5 if the population mean is $125 and the sample mean is $120. Given that the sample's standard deviation is $25,

z-score =  [tex]\frac{5}{25}[/tex] = 0.2.

We must utilize the z-score to hunt for the equivalent value in a typical normal table in order to determine the p-value. The chance of selecting a sample with a mean of $120 from a population with a mean of $125 is known as the p-value.

The probability that a sample with a z-score of 0.2 would be taken from a population with a mean of $125 is the p-value in this instance. When we look for 0.2 in a typical normal table, we discover that the p-value is roughly 0.58. As a result, 0.58 is the p-value for this hypothesis test. The probability that a sample with a mean of $120 would be taken from a population with a mean of $125 is therefore 58%.

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By information provided in the question, we can say that It is the probability of a Type I error.

The proportion of favorable outcomes to all possible outcomes for an event is known as the probability. The quantity of positive outcomes in an experiment with 'n' outcomes is represented by x. The following equation can be used to determine the likelihood of an event:

Probability (event) = positive outcome / overall outcome = x/n

It refers to the likelihood of a Type I mistake.

The likelihood that a Type I error will occur, or the likelihood that a null hypothesis will be rejected when it is true, determines the degree of significance.

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The domain of the graph is {1, 2, 3, 4}

"All the values" that are input into a function are referred to as the domain of a function. The set of all potential inputs for a function is its domain.

Given:

As, we know domain of a function is the set of all possible inputs for the function.

from the Graph, we can find the coordinates ( 1, 10), (2, 20), (3, 40) and ( 4, 80)

So, the domain of the graph is {1, 2, 3, 4}

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Answer:

B and E

Step-by-step explanation:

100-65=35 so the number of days they didn't have homework was 35. 35/100 and 35% represent this.

no value of x for f(x) ≤ g(x)

What do you mean by function?

Function, in mathematics, a formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).

The types of functions can be roughly classified into four types. Based on item:

One-to-one functions, many-to-one functions, on functions, one-to-one, and within functions.

Given functions:

f(x)=-2(x+3)^2+5

g(x)=x+7

According to the graph given for the functions there is no value of x for which f(x) ≤ g(x) .

Therefore, no value of x for f(x) ≤ g(x)

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