Part 1 of 2 Question content area top Part 1 Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than ​$. The price of car A is ​$. a. Assuming that you do not know which model is more​ expensive, write an absolute value inequality that describes this situation. Use x for the price of car B. b. What are the possibilities for the price of car​ B?

The inequality we want to find is:

$40 + $0.08*x ≤  $170

Where x is the number of miles Justin can drive, and the solution is:

x ≤ 1,625

We know that there is a fixed cost of $40 plus $0.08 for every mile driven. So if you rent the car and drive for x miles, the total cost is:

C(x) = $40 + $0.08*x

We know that Justin has at most $170 to spend, so we can write the inequality:

$40 + $0.08*x ≤  $170

Solving this for x, we get:

$0.08*x ≤  $170  - $40

$0.08*x ≤  $130

x ≤  $170 /$0.08  

x ≤ 1,625

So Justin can drive at most 1625 miles with the money he has.

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Answer:

Inequality: 40x+10≤170

Answer: x 4x≤4

Step-by-step explanation:

trust me

Answer:

Absolute value means taking the positive value, ie drop the negative sign.

Absolute value brackets are: | value |

|(4,-4)| = (4,4)

|(-3,-4)| = (3,4)

Hope that helps

Given: The equation of a line below

To Determine: The slope and the y intercept

Solution

The general form of slope-intercept form of a line is given as

Let us re-write the given equation in slope-intercept form

Let us compare the derived given equation to the general form

The graph is as shown below

Hence, the slope is 2 and the y intercept is -8

Answer: Neither Im prrtty sure but someone double check me

The probability that the box contains exactly one defective motor.

P(X=1)=0.5225

This is further explained below.

Generally, This follows a Poisson distribution and will be solved using:

[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]

Where

u = Expected number of occurrences, and it is calculated as:

u=n p

u=60 * 4%

u=60 * 0.04

u=2.4

In conclusion,

[tex]P(X=x)=\frac{e^{-u} u^x}{x !}[/tex]

Therefore

[tex]P(X=1)=\frac{e^{-2.4} 2.4^2}{2 !}[/tex]

P(X=1)=0.5225

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Answer:

4 1/2

Step-by-step explanation: First: Pls just trust <333 and Goodluck!! <3

Reflexive property of congruence CPCTC .

When two objects or figures have the same size and shape, the term "congruence" is used to describe it. Congruence has the transitive property, which states that if two sets of lines, angles, or triangles are congruent with a third pair of lines, angles, or triangles, then the first pair of lines, angles, or triangles are also congruent with the third pair of lines, angles, or triangles. As was previously mentioned, the transitive property creates an equivalence relationship between 3 lines, 3 angles, and 3 triangles. According to the definition of the transitive property of congruence in geometry, if any two angles, lines, or forms are, respectively, congruent with a third angle, line, or shape, then the first two angles, lines, or shapes are likewise congruent with the third angle, line, or shape.

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Answer:

The answer to the first box is SSS criterion, im not sure about the second box, i know it isnt ASA criterion, but i hope this helps!

Step-by-step explanation:

The fraction of the total amound he paid for the 11 books is 3/13.

According to our question-

Hence , The fraction of the total amound he paid for the 11 books is 3/13.

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Considering the angle relations when two parallel lines are cut by a transversal, the measures of the angles are given as follows:

18. <4 = 56º.

19. <3 = 132º.

20. <2 = 55º.

21. <8 = 120º.

22. <6 = 129.5º.

23. <2 = 61.3º.

When two parallel lines are cut by a transversal, there are multiple relations among the angles, which are going to be used to solve this question.

In item 18, the angles 1 and 4 are consecutive interior angles, hence they are supplementary angles, meaning that the measure of angle 4 is found as follows:

<4 + <1 = 180º

<4 + 124º = 180º

<4 = 56º.

In item 19, angles 2 and 3 are also consecutive interior angles, hence:

<2 + <3 = 180º

48º + <3 = 180º

<3 = 132º.

For item 20, angles 2 and 4 are alternate interior angles, hence they are congruent and their measures are given by:

<2 = <4 = <55º.

For item 21, angles 6 and 8 are alternate exterior angles, also being congruent, hence their measures are given as follows:

<6 = <8 = 120º.

For item 22, angles 7 and 6 are same side exterior angles, meaning that they are supplementary, hence:

<6 + <7 = 180º

<6 + 50.5º = 180º

<6 = 129.5º.

For item 23, the relation is the same as item 19, hence:

<3 + <2 = 180º

<2 = 180 - 118.7

<2 = 61.3º.

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1) The fraction is given as,

c) The fraction is given as,

d) The fraction is given as,

The number of Nickle is 7 and number of dimes is 13.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Michael has $1.65 worth of nickels and dimes.

He has 6 more nickels than dimes.

Let x be the number of nickels

then,  the number of dimes = x + 6

as, we know that nickel is worth 5 cents.  

A dime is worth 10 cents.

So, 0.05x + 0.10(x + 6) = 1.65

0.05x + 0.10x + 0.60 = 1.65

0.15x = 1.65- 0.60

0.15x = 1.05

x= 7

Hence, the number of Nickle is 7 and number of dimes is 13.

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The function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.

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.

Let x be the number of cards:

The total cost for the card is f(x)

Then f(x) can be framed as:

f(x) = 20 + 0.06x

Or

f(x) = 0.06x + 20

Thus, the function to describe the following scenario is f(x) = 0.06x + 20 if there is a $20 minimum charge.

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The length of the rectangle whose area is 7 units larger than its perimeter is 13 units.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, Area of a rectangle is 7 units larger than its perimeter.

Assuming the length of the rectangle to be 'l' and the width to be 'w',

and the width is 3 units.

∴ (l×w) = 2(l + w) + 7.

(l×3) = 2(l + 3) + 7.

3l = 2l + 6 + 7.

l = 13 units.

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The number of batches of cookies that can be made with 4 pounds of flour is 6 batches.

In order to determine the number of batches of cookies that can be made, divide the amount of flour by the fraction that represents the amount of flour needed for a batch of cookies.

Division is the operation that is used in mathematics to determine the quotient of two or more numbers. It entails grouping a number into equal parts using another number.

Number of batches that can be made = amount of flour ÷ amount of flour needed for one batch

4 ÷ 2/3

4 x 3/2 = 6 batches

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During plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.

As given in the question,

During plantation sunflower was 15 inches tall

Rate of growth per week = 2 inches

Let x be the number of weeks and y be the height of the plant.

Required height :

y = 15 + 2x

Change in the height of sunflower after 9 weeks

y =15 +2x

 = 15 + 2(9)

 = 15 +18

  = 33 inches

Therefore, during plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.

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Answer:

Domain: (-5, ∞)

Range: [-4, 1]

Step-by-step explanation:

Domain is the set of all permissible values of x for the function. The smallest value of x is at x = -5. However note that there is an unfilled circle at x = -5 where y = -1. This means the point(-5, -1) is excluded in the function

The function flattens out at x = 3 and the arrow on the end of the function plot indicates that the x-value of the function goes up to ∞

The domain in interval form is (-5, ∞).
Be careful with the brackets. The regular parentheses ( and ) indicate that the extremes of the interval -5 and ∞ are not included in the interval. ∞ is never included. Such an interval is called an open interval.

The range is the set of y-values for the domain
Looking at the graph we can see that the lowest y value is -4 at x = -2 and it is a valid value for the function so included in the interval

The highest value of y is 1 and it becomes 1 at x =3 but since the plot after x = 2 is horizontal, that means the y value will be 1 for any value x >= 3

Therefore the range of the function is
[-4, 1]

Here note that we are using square brackets to indicate that -4 and 1 are included in the interval. Such an interval is called a closed interval.

The most appropriate choice for equation of line in slope intercept form will be given by-

[tex]y = -4x-3[/tex] is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope of the line = -4

The line passes through (-2 , 5)

Equation of the required line =

[tex]y - 5 = -4(x - (-2))\\y - 5 =-4x - 8\\y = -4x - 8+5\\y = -4x-3[/tex]

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The cups of popcorn that the boys eat in all is 5 1/4 cups.

From the information, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn and each boy ate 1 3/4 cups of popcorn.

It should be noted that the total popcorn and hat was eaten will be:

= Fraction eaten by each person × Number of people

= 1 3/4 × 3

= 7/4 × 3

= 21/4

= 5 1/4

This illustrates the concept of multiplication of fractions.

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ANSWER:all real numbers less than or equal to 0.

Explanation:

When you reflect a function across the x-axis, you negate every y-coordinate in the function.

In our original function, our y-values will all be positive. Reflecting this across the x-axis will make all of the y-values negative; this means the range, or set of y-values, will be less than or equal to 0.

Answer:

Please see attachment for explanation and answer.

A Type I error occurs in hypothesis testing when one is rejects the null hypothesis and the null hypothesis is true.

To reject the null hypothesis, statisticians conduct hypothesis testing. However, the process is always accompanied by the possibility of making a mistake. These are referred to as hypothesis testing errors.

Type I and Type II errors are the two mutually exclusive errors in hypothesis testing. Type II errors occur when a statistician fails to reject a false null hypothesis, whereas Type I errors occur when a statistician correctly rejects a genuine null hypothesis. So, c is the right response.

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The average income of those who work more and those who work less tends to be equal

The  null hypothesis is a typical statical theory which suggest that no statical relationship and significance exists in a set of given single observed variable , between two sets of observed data and measured phenomena.

The null hypothesis is significant because it offers a rough description of the phenomena inferred from the available evidence. It enables researchers to empirically test the relationship statement in a study.

Example: The null hypothesis is that the population density is the same across all states.

The average income of those who work more and those who work less tends to be equal

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Answer:

A and D

Step-by-step explanation:

hope this helps

The correct description of the graph of the inequality is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

Here we have the inequality:

p - 3.6 < -5.8

First, we need to solve this, to do so we need to isolate the variable p in one of the sides of the inequality, we will get:

p < - 5.8 + 3.6

p < -2.2

So p is strictly smaller than -2.2, then we will have an open circle at the number -2.2 and a line or arrow that extends to the left.

So the correct option is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

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The common difference of the arithmetic sequence is found as -10.

For the given question;

The arithmetic sequence is given as;

28, 14,....

Where 28 is the first term; a₁ = 24.

14 is the second term; a₂ = 14.

Then the common difference 'd' is calculated as;

d =  a₂ - a₁

put the values.

d = 14 - 24

d = - 10

Thus, the common difference of the arithmetic sequence is found as -10.

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Using the equation x - 7 = 12, we can apply it to find the number of students in Mrs. Jones' class, where the girls are 12 and the boys are 7.

An equation is a mathematical statement that two or more expressions share equality or are equivalent in value.

The equation sign (=) is used when two expressions or values are equal.

x - 7 = 12

Where the number of girls = 12

And the number of boys = 7

x = 12 + 7

x = 19

Thus, we can conclude from the equation x - 7 = 12 that x is the total number of students in Mrs. Jones' class.

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Answer:

y= x +4

Step-by-step explanation:

The equation of a line can be written in the slope-intercept form, y= mx +c, where m is the slope and c is the y-intercept.

Overview of steps:

The slope can be found using the gradient formula below:

[tex]\boxed{\text{Gradient} = \frac{y_1 - y_2}{x_1 - x_2} }[/tex]

Given: (5, 9) and (0, 4)

Start by finding the slope, m:

m

[tex] = \frac{9 - 4}{5 - 0} [/tex]

[tex] = \frac{5}{5} [/tex]

= 1

Substitute m= 1 into y= mx +c:

y= x +c

In this case, the y-intercept is given by the point (0, 4). This is because y-intercepts occur at x= 0. This also means that c takes the value of 4.

Substitute c= 4:

y= x +4

Thus, the equation of the line is y= x +4.

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The part of speech of word 'rainstorm' is a noun in the sentence 'the campers were drenched by the rainstorm'.

There are eight parts of speech. They are noun, pronoun, adjective, verb, adverb, preposition, conjunction, and interjection. Further, these parts of speech are subdivided into different types.

A noun is the name of a person (for example, Ram, Neetu, John, etc.), place (for example, Delhi, Lucknow, Jaipur, America, etc.) or a thing (for example, table, desk, pen, rainstorm, etc.).

There are five types of noun: proper noun, common noun, abstract noun, material noun and collective noun.

Hence, the italicized word in the given sentence is a noun.

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The equation [tex]y =\frac{x}{c} *\frac{x}{c} *x[/tex] represents a non- linear function.

How is the function of the equation determined?

[tex]y =\frac{x}{c} *\frac{x}{c} *x\\\\y = \frac{x^{3}}{c^{2} }[/tex]

This equation does not make a straight line in a graph. So, the equation represents a non-linear function.(Refer figure for graph)

What is a non-linear function?

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If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.

The length of a foot is 12 inches. A ruler can be used to calculate the length of a foot, which is usually one foot. The length of a piece of paper is about one foot.

3 feet make up one yard. A yardstick, which is equal to 1 yard, is typically used to measure yards. The length of a baseball bat is about one yard.

Using the conversion Rule we will convert feet into inches that is

22 feet = 264 inches

We will also convert yards into inches that is

14 yards = 504 inches

Total wire they need = 264 + 504 inches

                                   = 768  inches

We have given that

100 inches wires costs = $3

1 inch wire costs = 3/100

768 inch wire costs = (3/100) × 768

                                 = $23.04

Thus, If Emily wants to buy a 22 feet wire and Andy wants to buy a 14 yards wire then their total cost would be $23.04.

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Answer:

155

Step-by-step explanation:

125 (1+24%) = 155