Write the equation for the absolute value function graphed
Thank you!

The equation of the line parallel to 3x+3y=6 that passes through the point (7,-1) is  y = -x + 8

The equation of a line can be represented as follows:

y = mx + b

where

The lines that are parallel have the same slopes.

Therefore, let's find the slope of the equation 3x+3y=6.

3x + 3y = 6

3y = - 3x + 6

divide through by 3

y = - x + 2

Therefore, the slope is - 1.

Let's find the y-intercept of the equation using (7, 1)

y = - x + b

1 = - 7 + b

b = 8

Therefore, the equation of the line is y = -x + 8

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The measurement closest to the number of fluid ounces there are in 3 liters is 101 fl oz.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

If there are approximately 29.6 milliliters in 1 fluid ounce, then divide 3 liters by 29.6 milliliters to get the amount of fluid ounces it has.

29.6 milliliters = 1 fluid ounce

3 liters = 3000 milliliters

3000 milliliters / 29.6 milliliters = 101 fluid ounce

Hence, 3 liters ≈ 101 fluid ounces.

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The probability that you select a black card and a red card is 26/51 as per the condition mentioned "choosing two cards (without replacement )".

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

Since we have not mentioned the order,

so it can black-red or red-black,

=26/52*26/51+26/52*26/51

=2*26/52*26/51

=26/51

Assuming you choose two cards (without replacement), there is a 26/51 chance that you will choose a black card and a red card.

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The value of m is 8.

The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:

8 x 8 x 8 x 8 x …..n times = [tex]8^n[/tex]

Given:

[tex]$(m-4)^4 = \left(\frac 1{16}\right)^{-1}$.[/tex]

Now, solving for m

[tex](m-4)^4[/tex] = 16

[tex](m-4)^4[/tex] = [tex]4^4[/tex]

Taking the quad root we have

m -4 = 4

m = 4+ 4

m = 8

Hence, the value of m is 8.

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Answer:

Step-by-step explanation:

Noah- 4 1/6 miles/hour

Emily- 8 1/10 miles/hour

Anna- 3 1/2 miles/ hour

Emily ran the quickest.

Answer:

Anna was the fastest.

Step-by-step explanation:

Following are the steps we take to determine each one's speed:

speed=distance/time

Noah went 4 1/6 miles an hour, Emily went 4 1/2 miles an hour, and Anna went 5 5/9 miles an hour. Therefore, Anna was the fastest.

By taking the product between the mass and the acceleration, we will see that the force is:

F = 640 N

By the second Newton's law, we know that a force can cause motion on a body by accelerating it, such that the force is equal to the product between the mass of the object and the acceleration.

F = m*a

Here we know that:

m = 80kg

a = 8 m/s^2

Replacing that we get:

F = (80 kg)*( 8 m/s^2) = 640 N

Where N is the unit Newton.

1 N = 1 kg*m/s^2

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Answer:  how

Step-by-step explanation: love

Step-by-step explanation:

ABC and CDE are similar triangles.

similar shapes means that both shapes have the same angles. and : that there is one scaling factor for all lines of one of the shapes to calculate the lengths of the lines of the other shape.

we see that all the other sides of ABC are scaled 2:1 to the corresponding sides of CDE. that means the sides of ABC are twice a long as the sides of CDE.

the same scaling factor has to apply to AB vs. DE.

therefore,

11x - 25 = 2(4x + 1) = 8x + 2

3x = 27

x = 9

DE = 4x + 1 = 4×9 + 1 = 36 + 1 = 37

well, your proportion setup is good, let's simply use that then

[tex]\stackrel{Jaylan}{\cfrac{~~ \frac{ 3}{4 } ~~}{\frac{1}{5}}}\implies \cfrac{3}{4}\cdot \cfrac{5}{1}\implies \cfrac{15}{4}\implies \cfrac{3\frac{3}{4}}{1}~\frac{water}{lime} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Wanchen}{\cfrac{~~ \frac{ 2}{3 } ~~}{\frac{1}{6}}}\implies \cfrac{2}{3}\cdot \cfrac{6}{1}\implies \cfrac{12}{3}\implies \cfrac{4}{1}~\frac{water}{lime}[/tex]

well, the one with the lesser lime flavor will  be the one that put too much water in the drink, the more water the less the fruit mix, the more waterdowned the drink is, well hell who put more water per lime?  well Wanchen, shame on you.

The angle of x in the triangle is 75 degrees.

The sum of angles in a triangle is 180 degrees. The triangle is a an isosceles triangle.

An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.

Therefore, the base angles are equal.

The third angle of the triangle is 30 degrees(vertically opposite angles)

Hence,

x + x + 30 = 180

2x + 30 = 180

2x = 180 - 30

2x = 150

x = 150 / 2

x = 75 degrees

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The perimeter of the figure is 32 cm

The figure represents the given parameters

On the figure, we have the lengths of the side lengths to be:

Lengths = 7 cm, 5 cm, 3 cm, 4 cm, 4 cm, 9 cm

To determine the perimeter of the shape, we simply add the side lengths

Mathematically, this can be represented as

Perimeter = Sum of side lengths

Substitute the known values in the above equation So, we have the following equation

Perimeter = 7 cm + 5 cm + 3 cm + 4 cm + 4 cm + 9 cm

Evaluate the sum

Perimeter = 32 cm

Hence, the perimeter is 32 cm

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1.92%   is the probability .

Describe probability using an example?

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

  P = x/y

Find out the probability that the first student selected will be left-handed

we have

 x = 6

 y = 40

substitute

 P = 6/40

Simplify

P = 3/20

the probability that the second student selected will be left-handed

we have

    x = 6 - 1  = 4

y = 40 -1 = 39

substitute

 P = 5/39

the probability that the 2 students selected will both be left-handed

Multiply the probabilities

   P = 3/20(5/39)  = 15/780

Convert to percentage

Multiply by 100

15/780 * 100 = 1.92%

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the 2 values X(19.8,30.2)  is value will 15% of the observations be below .

by hypothesis .

What is hypothesis ?

Here, Mean(\mu) and Standard Deviation (\sigma)= 5. You need to find the 2 values of which the smallest has 15% of the values below it i.e (Z<x)= 0.15 and the largest has 15% of the values above it i.e(Z>y)= 0.15.

Now we need to refer to the Z tables and see which value of x corresponds to 0.15, and we see that -1.04 is = 0.149 \sim 0.15

Now we know that the Z value is given by Z = X - μ/σ

Substituting we get

  -1.04= (X-25)/5

therefore -5.2= X-25 or X= 19.8

Now let us get the value of X for (Z>y)=0.15`. Since Z tables give values for Z<a only, hence we can write that

Z>y=0.15 is the same as Z<y= 1-0.15= 0.85. We now check the Z tables and see which value of Z corresponds to 0.85, and we get 0.850 = +1.04

Again, substituting Z in the equation Z = X - μ/σ

we get

+1.04= (X-25)/5

Therefore 5.2= X-25, therefore X= 30.2

From the 2 values X(19.8,30.2)

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Option B. From the parallelogram PQRS the value of y is given to be 30

In order to get the value of y we have to use the formula

2y + 120 = 80

where the value 120 is the angle that is stated as 120 from the question

2y = 180 - 120

2y = 60

y = 60 / 2

y = 30

Hence the value of y = 30

We can go ahead to get the value of x as well

3x + 120 = 180

take the like terms

3x = 180 - 120

3x = 60

divide through by 3 to get x

60 / 3 = x

20 = x

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The correct option d. when the standard deviation is much less than 10.

When a value is 10 points beyond the norm, it is said to be an extreme value or an outlier.

When a point deviates significantly from the mean in comparison to other points, it is referred to as an outlier. Z-scores can be used to establish this. Remember the z-score formula:

z = (x - μ) / σ

The outlier should have a very big magnitude z-score. We are aware that the score in this issue is 10 points just below mean, we can say:

A lesser value of would raise the magnitude of a z-score, increasing it to the maximum extent achievable.

Therefore, this point would be an outlier whether its standard deviation was drastically lower than 10.

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The side length of the smaller square is 3 cm.

Given that:-

Length of the larger square = [tex]3\sqrt{2}[/tex] cm.

We have to find the length of the smaller square.

As the length of the larger square is equal to the diameter of the circle

Hence,

Diameter of the circle = [tex]3\sqrt{2}[/tex] cm

Now,

The diameter of the circle is equal to the diagonal of the square.

Hence, diagonal of the square =  [tex]3\sqrt{2}[/tex] cm

Let the length of the square be x cm.

Hence, by pythagoras theorem, we can write,

[tex]x^2+x^2=(3\sqrt{2} )^2\\x^2+x^2=18\\2x^2=18\\x^2=9\\[/tex]

x = 3 cm

Hence, the length of the smaller square is 3 cm.

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The domain of the given quadratic function is { -3 }

and range is { 1 }

A function's domain is the set of values that can be plugged into it. This set symbolizes the x values in a function like f. (x). Additionally, we can deduce that a function's range refers to the set of values it can accept. There are values in this set that the function returns when we enter an x value.

The domain of the given quadratic function is { -3 }

and range is { 1 }

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Answer:

$12.50 per hour

Step-by-step explanation:

Elon is paid by the hour. He earned $50 for a 4 hour workday. How much does he earn in one hour?

50 / 4 = $12.50 per hour

The correct option is B "Models n independent replications of a Bernoulli experiment each with a probability p of success".

It is a frequency distribution of the number of successful outcomes that could occur in a set number of trials with an equal chance of success. In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p. When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.

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The expression that represents the total number of water stations is 26.2 ÷ 1.31

An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

It's important to note as an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this case, the marathon is 26.2 miles long and there is a water station every 1 31/100 miles along the race route. The expression will be:

= 26.2 ÷ 1 31/100

= 26.2 ÷ 1.31

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The expected number of people between 165 and 175 is 41.

The expected number of people taller than 168 is 39.

Given that the mean and standard deviation of people's heights (measured in centimeters) are 170 and 5 respectively. The heights of 60 people are revealed.

μ = 170

σ = 5

n = 60

(a) The probability would you expect to be between 165 and 175 cm tall;

P( 165 < x < 175 ) = P( (165 - 170)/5 < z < (175 - 170)/5 )

                            = P( -1 < z < 1 )

                            = P( z < 1) - P( z < -1 )

                            = 0.8413 - 0.1587

                            = 0.6826

Expected number of people between 165 and 175 = n * p

                                                                                    = 60 * 0.6826

                                                                                    = 40.956

                                                                                    ≅ 41

(b) The probability would you expect to be taller than 167 cm;

P( x >  167 ) = P( z > (167 - 170)/5 )

                   = P( z > -0.6 )

                   = 0.7257

Expected number of people taller than 168 = n * p

                                                                        = 60 * 0.7257

                                                                        = 43.542

                                                                        ≅ 39

Hence,

The expected number of people between 165 and 175 is 41.

The expected number of people taller than 168 is 39.

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Answer:

No

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

For a Triangle to be a Right-Angled Triangle, should follow the Pythagoras Theorem which states that

If a is the larger side and b , c are the lengths of the other two sides

Then [tex]a^{2} =b^{2} +c^{2}[/tex]

Here a=30  , Then [tex]a^{2}=30^{2} =900[/tex]

and b=20 , c=25  , Then [tex]b^{2} +c^{2} =20^{2} +25^{2} =1025[/tex]

Since [tex]a^{2} \neq b^{2} +c^{2}[/tex]

Then the Triangle is not Right Triangle

The statement "If the taxi company only has $10.50 to spend" represents that the maximum amount to spend is $10.50.

Amount to spend by the taxi driver ≤ 10.50.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

The taxi company only has $10.50 to spend.

This means that,

The maximum amount to spend is $10.50.

We can also represent as:

Amount to spend by the taxi driver ≤ 10.50.

Thus,

The statement "If the taxi company only has $10.50 to spend" represents that the maximum amount to spend is $10.50.

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The time taken by peregrine falcon dove at its maximum speed to cover half a mile is 9 sec.

For the given question;

The maximum speed of peregrine falcon dove is 200 mph.

Time of travel  = 0.5 miles.

The relation of distance and speed is;

speed = distance/time

200 mph = 0.5 miles / time

Time = 0.5 miles / 200 mph

Time = 0.5 × 60 × 60  miles / 200 m/ sec

Time = 9 sec

Thus, time taken by peregrine falcon dove at its maximum speed to cover half a mile is 9 sec.

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The simple reason why streets are usually designed parallel or perpendicular to each other is because that pattern makes it easy for users to connect people easily.

A perpendicular street can simply be defined as a street which intersect another streets. However, on the other end, two streets are said to be parallel to each other when they are in the same distance apart. The same is applicable in mathematics as a perpendicular line intercept another line and parallel lines don't meet.

That being said, when streets are parallel or perpendicularly designed, residents of the environment find it easy to communicate with each other. Business owners use this easy accessibility to easily describe their addresses to customers.

So therefore, it can be deduced from the given explanation above that when streets are designed with good planning, it makes people access it easily.

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Please find attached the completed table of the percentage changes on the amounts drawn with MS Word.

The percentage change on an amount is found by finding ratio of the change in the amount to the original amount then multiplying the obtained ratio by 100.

The percentage change formula is presented as follows;

Where;

Making each of the variables the subject, indicates;

The new amount, [tex]x_2 = \dfrac{\%C \times x_1}{100} + x_1[/tex]

[tex]\%C \times x_1+100\cdot x_1 = 100\cdot x_2[/tex]

[tex]x_1\cdot (\%C+100) = 100\cdot x_2[/tex]

The original amount, [tex]x_1 = \dfrac{100\cdot x_2}{(\%C+100)}[/tex]

The percentage change, [tex]\%C = \dfrac{c}{x_1} \times 100[/tex]

The original amount, [tex]x_1 = \dfrac{c}{\%C} \times 100[/tex]

Using the above formulas, the completed table is created with MS Excel and is presented as follows;

Original amount  Change  Percent Change   New Amount

68 [tex]{}[/tex]                        15            22.1                        83

590 [tex]{}[/tex]                    -40          -6.8                         550

115 [tex]{}[/tex]                       20           17.4                         135

120[tex]{}[/tex]                      -33           -27.5                       87

125[tex]{}[/tex]                     -39           -31.2                        86

163   [tex]{}[/tex]                   47             28.8                       210

274[tex]{}[/tex]                     145.22       17.4                        419.22

70 [tex]{}[/tex]                      -15.4         -27.5                       54.6

1400[tex]{}[/tex]                  -1050         22.1                        350

1250[tex]{}[/tex]                  -25            -2.0                         1225

0.24[tex]{}[/tex]                    0.3            125.0                      0.54

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The number of pack of cards sold at the state of Arkansas is 8100.

For the values given in question.

The tax on playing card in state of Arkansas = 6 cents per pack.

Total revenue generated =  $48600.

Divide total revenue by one pack price to get the number of packs.

Number of pack = Total revenue/price of each pack

Number of pack =  $48600/6

$48600.Number of pack = 8100

Thus, the number of pack of cards sold at the state of Arkansas is 8100.

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Answer:

34

Step-by-step explanation:

Absolute value means the distance from 0. So the absolute value of 34 is just 34.

Answer:

59.3 meters/second

Step-by-step explanation:

593 / 10 = 59.3

Answer:

(3,0) (-3,0)

Step-by-step explanation:

ask:))