Do the two functions below appear to be inverses of each other

Answer:

3+3×1/4×3

3+3/12

3×12+3/12

39/12

The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C

Average number of viewers over the two weeks = (First week + Second week) / 2

= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2

= {3.6 + 4.1 × 10^(4×4) } / 2

= (7.7 × 10^16) / 2

= 3.85 × 10^8

Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.

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Answer:

8 inches

Step-by-step explanation:

So if 11 in. cost 44 cents, then each inch cost 4 cents.

32/4=8

2.) No correlation

3.) Negative correlation

Step-by-step explanation:

The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle.Numerical expression to describe the perimeter of Stephanie’s triangle is S =(1/2) J;

Let as assume that

Stephanie's triangle has a perimeter (S)

And, Juan's triangle has a perimeter (J);

According to question, it implies:

S =(1/2) J;

The whole length of any closed shape's boundary is known as its perimeter. Let's use an illustration to try to comprehend this. You may have a sizable square-shaped farm, for instance. You now decide to fence your farm in order to protect it from stray animals. Finding the entire length of the farm's boundary is as simple as multiplying the length of one side of the farm by 4. There are a lot of situations like this when we can be applying the perimeter-finding notion without even realizing it.

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The point-slope form of the equation for the line with a slope of [tex]\frac{6}{19}[/tex] that passes through the point[tex](-1,\frac{7}{5} )[/tex] is [tex]6x-19y=-\frac{163}{5}[/tex]

As per the question statement, we are supposed to find the point-slope form of the equation for the line with a slope of [tex]\frac{6}{19}[/tex] that passes through the point[tex](-1,\frac{7}{5} )[/tex] .

Before solving the question, we need to know about the point - slope form of the line i.e., [tex]y-y_{1} =m(x-x_{1} )[/tex]

where m = slope = [tex]\frac{6}{19}[/tex]

[tex]x_{1} =-1[/tex] and [tex]y_{1} = \frac{7}{5}[/tex]

Now substituting values, we get

[tex]y-\frac{7}{5} =\frac{6}{19} (x-[-1])[/tex]

[tex]y-\frac{7}{5} = \frac{6}{19} (x+1)[/tex]

[tex]19y - \frac{133}{5} = 6x+6[/tex]

Rearranging,

[tex]6x-19y+6+\frac{133}{5} =0[/tex]

[tex]6x-19y+\frac{163}{5} =0[/tex]

[tex]6x-19y=-\frac{163}{5}[/tex]

Hence our required equation is [tex]6x-19y=-\frac{163}{5}[/tex]

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Answer: 13

Step-by-step explanation:

x = 3, y = 5

xy - 2=

(3)(5)-2=

15-2=13

Answer:

child: 74 adult: 117 student: 37

Step-by-step explanation:

x=2z

x+y+z=191

7.5x+9.75y+8z=1593.5

The number of tickets sold for child is 86.

The number of tickets sold for adults is 62.

The number of tickets sold for child students is 43.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Total tickets sold = $1593.50 _____(1)

Total number of tickets sold = 191 _____(2)

Let the number of tickets sold for child = P _____(3)

Let the number of tickets sold for adults = Q _______(4)

Let the number of tickets sold for students = R ______(5)

Cost of child ticket = $7.50 ______(6)

Cost of adult tickets = $9.75 ______(7)

Cost of student tickets = $8 _______(8)

We can make equations as:

From (2), (3), (4), and (5)

P + Q + R = 191 ____(9)

From (1), (6), (7), and (8)

7.50P + 9.75Q + 8R = 1593.50 _____(10)

We have,

P = 2R putting in (9) and (10)

2R + Q + R = 191

We get,

3R + Q = 191 _____(11)

15R + 9.75Q + 8R = 1593.50

23R + 9.75Q = 1593.50 _____(12)

From (11).

Q = 191 - 3R putting in (12)

23R + 9.75 (191 - 3R) = 1593.50

23R + 1862.25 - 29.25R = 1593.50

-6.25R = -268.75

R = 43 putting in Q = 191 - 3R

We get,

Q = 191 - 3 x 43 = 191 - 129 = 62

Putting R = 43 in P = 2R

We get,

P = 2x43 = 86

We have,

P = 86, Q = 62 and R = 43

Thus,

The number of tickets sold for child is 86.

The number of tickets sold for adults is 62.

The number of tickets sold for child students is 43.

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Answer:

20

Step-by-step explanation:

To find this, we need to figure out what 1/5 is as a decimal

5/5 = 1, so 5 groups of 1/5 equals 1

Multiply this by 4, 20 groups of 1/5, or 20/5 = 4

Now we confirm this

1/5=0.2

4/0.2=20

So it is true

Hope this helps!^^

AB = 15, AC   = 14, BC = 8  

PQ = 8 , QR = 24,  PR = 8

The perimeter is the distance around the object. For example, your house has a fenced yard. The perimeter is the length of the fence. If the yard is 50 ft × 50 ft your fence is 200 ft long.

Perimeter of Δ ABC = Length of AB + Length of BC + Length of AC.

Perimeter of ΔABC = (2x + 7) + (2x) + (2x + 6) = 6x + 13

Perimeter of ΔPQR = (2x) + (3x + 9) + (2x) = 7x + 9

So, 6x + 13 = 7x + 9

 Therefore, x = 4

AB = 2(4) + 7 = 15             PQ = 2(4) = 8

AC = 2(4)+6     = 14          QR = 3(5) + 9 = 24

BC = 2(4)  = 8                    PR = 2(4) = 8

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Answer:

assuming you wanted the value of m

[tex]m=\frac{5D}{9}+36[/tex]

__________

         [tex]D=\frac{9}{5}\left(m-36\right)\\=\frac{9}{5}\left(m-36\right)=D\\5\cdot \frac{9}{5}\left(m-36\right)=5D\\=9\left(m-36\right)=5D\\\frac{9\left(m-36\right)}{9}=\frac{5D}{9}\\=m-36=\frac{5D}{9}\\m-36+36=\frac{5D}{9}+36\\m=\frac{5D}{9}+36[/tex]

__________

Hope this helps.

Answer:

5

Step-by-step explanation:

28+21+6=55

Answer:55-50

Answer:

Step-by-step explanation:

Answer : Original price 382

55% of 382 = $210

According to the given information the Pointwise Characterization of Perpendicular Bisectors.

A line known as a perpendicular bisector divides a specified line segment precisely in half, creating a 90° angle at the intersection. The intersection of a line segment's midpoint with a perpendicular bisector. It can be built with a compass and a ruler. On both sides of the line segment being divided, it forms a 90° angle.

The perpendicular bisector seems to be a mathematical construct that is being explored along with its creation in this article. We'll also look at the perpendicular bisector of a triangle and its properties. We will solve some few cases at the end to help you understand the subject better.

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Student's mean score of the class is 80.6.

Mean:

Mean or the average of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Given,

A student receives test scores of 62, 83, and 91. the student's term project score is 88 and her homework score is 76. each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homework grade is 15% of the final grade.

Here we need to find the student's mean score in the class.

First, we have to convert the percentage into decimal,

Then

=> 20% = 0.20

=> 25% = 0.25

=> 15% = 0.15

Then we have to find the scores from it,

Test A is 0.20 of the total and scores 62.

Test B is 0.20 of the total and scores 83.

Test C is 0.20 of the total and scores 91.

Project F is 0.25 of the total and scores 88.

Work H is 0.15 of the total and scores 76.

Multiply across:

=> A = (0.2 * 62) = 12.4

=> B = (0.2 * 83) = 16.6

=> C = (0.2 * 91) = 18.2

=> F = (0.25 * 88) = 22

=> H = (0.15 * 76) = 11.4

Now we have to add all these values to find the mean,

=> A + B + C + F + H

=> 12.4 + 16.6 + 18.2 + 22 + 11.4

=> 80.6

Therefore, the mean of that student is 80.6

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Answer:

$4.60

Step by Step:

First, you have to subtract $20 from $6.20 which is the change you got back. Once you remove that, you will get $13.80, the actual amount of all three pairs of socks. Now, you have to figure out how much each pair of socks is. So you need to divide 13.80 by 3 which is $4.60. So each pair of socks was $4.60

Hope that helps :D

Answer:

-47^6

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x-6x²-2

Step one use PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

as a guidance

Everything in the parenthesis is simplified, and there isn't any exponent so we onto step 3 which is multiply.

There is a negative infant of the parenthesis -(2x²+8-3x)

that negative sign actually is a -1

therefore multiply -1 to each number inside the parenthesis

Product: -2x²-8+3x

Last step combine like terms

-4x²-2x²=-6x²

x+3x= 4x (remember there is an invisible 1 infront of that x variable)

6-8=-2

Answer: 6

Step-by-step explanation: 6+1 Is 7 and there are no eggs left in the group of 7 so if they need one egg left and 7-1 is 6 the answer is 6.

Answer:

-6.1, 6.3, 630%

Step-by-step explanation:

-610%, 630%, 630%

Using the distance between two points to find the side lengths, the area of the parallelogram is of 60.3 square units.

The area of a parallelogram of dimensions l and w is given by the multiplication of these dimensions, that is:

A = lw.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence, for this problem, the side lengths are:

Hence:

l = 6, w = 10.05, and:

A = 6 x 10.05 = 60.3.

The area of the parallelogram is of 60.3 square units.

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The form of the partial fraction decomposition of the given function is:

[tex]\frac{A}{x+5}+\frac{B}{x-4}[/tex]

To find the form of the partial fraction:

The rational expression given is: [tex]\frac{x-20}{x^2+x-20}[/tex]

Factor the provided rational expression's denominator:

[tex]\begin{aligned}\frac{x-20}{x^2+x-20} &=\frac{x-20}{x^2+5 x-4 x-20} \\&=\frac{x-20}{x(x+5)-4(x+5)} \\&=\frac{x-20}{(x+5)(x-4)}\end{aligned}[/tex]

Apply the partial fraction decomposition method now:

[tex]\begin{aligned}\frac{x-20}{x^2+x-20} &=\frac{x-20}{(x+5)(x-4)} \\&=\frac{A}{x+5}+\frac{B}{x-4}\end{aligned}[/tex]

Therefore, the form of the partial fraction decomposition of the given function is:

[tex]\frac{A}{x+5}+\frac{B}{x-4}[/tex]

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The correct question is given below:
Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients.

[tex]\frac{x-20}{x^2+x-20}[/tex]

For the given graph, we have that:

a) It is not a function.

b) The function is discrete.

c) The domain is {-5,2} and the range is all real values.

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

For this problem, we can see that it is not a function, as the values of x = -5 and x = 2 are mapped to multiple values of y.

For this problem, the function is defined only for x = -5 and x = 2, which are integer values, hence it is a discrete function.

Thus, the domain is {-5,2} and the range is all real values.

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Answer:

x=12

Step-by-step explanation:

x÷4=3

x=4x3

x=12

12÷4=3

Answer:

$7.95

Step-by-step explanation:

The equation c = 7.95b represents the total cost of the boxed lunches

c represents the total cost

b represents the number of boxed lunches

To find the total cost of multiple items, you generally multiply the cost of a single item by the number of items there are.

Using this, we can find the cost per item is 7.95 dollars, or 7 dollars and 95 cents.

Answer:

1915

Step-by-step explanation:

nth term = 15n + 400

term to term = 15

n = position

eg:

n=1

1x15=15 + 400 = 415

n=2

2x15=30 + 400 = 430

n=101

101x15= 1515 + 400 = 1915

Answer:

1915

Step-by-step explanation:

formula for the nth term is

an = d times n + first term - d

an = n*d + a1 - d

find the difference between the numbers

it's 15 which is d

first term is a1 which is 415

a101 = 15 times 101 + (415 minus 15)

a101 = 1515 + 400

a101 = 1915

Answer:  6  8

Step-by-step explanation:

the dot will be line 6 and 8

if that makes sence

??

The probability is 1/4 that the winners will be wearing numbers 2, 4, and 7.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given that a group of 12 dance competition contestants is wearing the numbers 1 through 12.

To determine the probability that the winners will be wearing numbers 2, 4 and 7

Here are favorable outcomes that the contestants wearing numbers 2, 4, and 7

So the number of favorable outcomes = 3

And there is a total number of outcomes = 12

Required probability = 3/12

Required probability = 1/4.

Thus, the probability is 1/4 that the winners will be wearing numbers 2, 4, and 7.

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