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The average number of viewers over the two weeks is  4. 85  x 10^5. Option D

Average is simply a number taken as the representative of a list of numbers.

It is determined by taking the sum of the numbers divided by the number of listed numbers.

Given the number of viewers as;

5.6 x 105 viewers  and 4.1 x 105 viewers

Average = 5. 6 x 10^5 + 4.1 x 10^5 / 2

Average = 9. 7  x 10^5 / 2

Average = 4. 85  x 10^5

The average number of viewers over the two weeks is  4. 85  x 10^5

Thus, the average number of viewers over the two weeks is  4. 85  x 10^5. Option D

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Answer: 1

Step-by-step explanation:

In order to find GCF, take the prime factorization of 3 and 13.

3: 1*3 ==> Prime factorization of 3

13: 1*13 ==> Prime factorization of 3

The common factor is 1.

GCF of 13 and 3 is 1

The correct option is Quantity a: the number of prime numbers between 0 and 100, inclusive is greater.

A prime number is a natural number greater than 1 that is not the sum of two lesser natural numbers (or a prime). Any natural number greater than one that is not prime is referred to as a composite number. For instance, the product 1 5 and 5 1 are the only two ways to write the number 5, making it a prime. The fact that it is the sum of two smaller integers (2 x 2), 4, however, makes it composite. Primes play a significant role in number theory because of the fundamental theorem of arithmetic, it states that any natural number greater than one is either a prime number itself or may be factored as a unique prime product up to the order of the primes. the prime number (or a prime).

The number of primes reduces almost exponentially as we move up the number line. The prime numbers between 0 and 100 are therefore far more numerous than those between 101 and 200. It is crucial to understand this general number theory point, but it may also be rapidly illustrated by attempting to find some primes in these two groups.

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The daily recommended grams of fat  by the nutritional label is 98 grams.

The nutritional label on a food stated that one serving contained 3 grams of fat which is 3.06% of the daily recommended level.

let

the recommended level = x

Therefore, the product of the percentage and the required daily  recommendation level is equals to the 3 grams.

grams of fat = 3.06% × x

3 =  3.06% × x

3 = 3.06 / 100 × x

3 = 3.06x / 100

cross multiply

3 = 3.06x / 100

300 = 3.06x

300 = 3.06x

divide both sides by 3.06

300 / 3.06 = 3.06x / 3.06

x = 98.0392156863

x = 98 grams

Therefore, the daily recommended grams of fat  by the nutritional label is 98 grams.

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Answer:

-1/6

Step-by-step explanation:

Based on the calculations, the perimeter of this regular polygon is equal to 7.5 units.

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Since this polygon is a regular polygon with each of its sides being equal, we have:

3(x - 1) = 5x - 6

3x - 3 = 5x - 6

5x - 3x = 6 - 3

2x = 3

x = 3/2

x = 1.5.

The measure of each of its sides is given by:

3x - 3 = 5x - 6

3(1.5) - 3 = 5(1.5) - 6

4.5 - 3 = 7.5 - 6

1.5 = 1.5

Each side, a = 1.5 units.

Now, we can determine the perimeter of this regular polygon:

Perimeter of pentagon = 5a

Perimeter of pentagon = 5 × 1.5

Perimeter of pentagon = 7.5 units.

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The numbers are 20 and 36.

As per the information in question, let the smaller number x. So, according to question, large number will be (x + 16).

Now, writing the equation that will form -

x + x + 16 = 56

Performing addition of variables on Left Hand Side

2x + 16 = 56

Shifting the number from Left Hand Side to Right Hand Side

2x = 56 - 16

Performing subtraction on Right Hand Side

2x = 40

Shifting 2 to denominator on Right Hand Side

x = 40÷2

Performing division to find the value of x

x = 20

So, smaller number is 20.

Larger number = x + 16

Larger number = 20 + 16

Larger number = 36

Hence, the numbers are 20 and 36.

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The value of expression is -61

In the given question is that:

Evaluate the expression when n = 2

and, Equation is = 14n - 61 + 1- 31

Now, According to the question :

Put the value of n= 2 in above equation:

then, 14 x 2 - 61 +1 - 31

= -61

Hence, The value of expression is -61

Composition of Functions:

The composition of function is the process of creating another function by applying a function as an input to another function.

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The number of new setups the internet service company perform in the neighborhood is 22 setups.

The correct answer is option B

Number of new setups the internet service company perform = Total amount the internet service company earned ÷ Amount the internet service company charge per new setup

= $770 / $35

= 22 setups

Therefore, the number of new setups the internet service company perform in the neighborhood is 22 setups.

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Answer: 4 necklaces 2 bracelets. 8 bracelets. 2 necklaces 5 bracelets

Step-by-step explanation:

Answer: π=v/(hr^2)

Step-by-step explanation:

v=pi r^2 h solve for pi

v=πhr^2 solve for π

v/h=πhr^2/h

v/h=πr^2

1/r^2 * v/h = πr^2 * 1/r^2

v*1/(h*r^2) = πr^2/r^2

π=v/(hr^2)

The retail price of the CD rack is $45.

From the information, the storage rack it's sold to stores at a wholesale price of $18 and the store has a 150% markup.

The retail price will be:

= $18 + (150% ×$18)

= $18 + $27

= $45

Therefore, the retail price of the CD rack is $45.

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–5 + 7 = 7 + (–5)  is an example of the associative property. Option A

This is further explained below.

Generally, The associative property is a rule in mathematics that states that the product of a multiplication problem does not depend on the method in which the elements that are being multiplied do not vary.

In conclusion, Even if the numbers on each side of the equal sign are written in the opposite direction, adding -5 to 7 still results in the same answer: 7 plus (-5).

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Answer:

a₁₅ = 240

Step-by-step explanation:

to find the 15 th term substitute n = 15 into the general term

a₁₅ = 15(15 + 1) = 15(16) = 15 × 16 = 240

Answer:

The value is not a solution of the inequality.

Step-by-step explanation:

5 - x < 8

1. Substitute the variable, x, with -3: 5 - - 3 < 8

2. Use the KCC (keep,change,change) method to turn subtraction into addition: 5 + + 3 < 8

3. Add the numbers on left side of the inequality to get the answer: 8 < 8 - False statement - 8 is not less than 8.

The expression as a number in scientific notation is 4.2 * 10^5

The expression is given as:

quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared

Rewrite properly as:

[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]

Evaluate the product of 7 and 5.4

So, we have:

[37.8* 10^3 * 10^4]/[9 * 10^2]

Evaluate the product of 10^3 and 10^4

So, we have:

[37.8* 10^7]/[9 * 10^2]

Evaluate the quotient of 37.8 and 9

So, we have:

[4.2 * 10^7]/[10^2]

Evaluate the quotient of 10^7 and 10^2

So, we have:

4.2 * 10^5

Hence, the expression as a number in scientific notation is 4.2 * 10^5

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The number of bottles will be 24 bottles.

It should be noted that 1 pound = 16 ounces.

Since he bought 1 pound of each color, the total pounds will be:

= 1 × 9 = 9 pounds.

The number of sand art will be:

= 9 pounds / 6 ounce

= (9 × 16) / 6

= 24 bottles

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Using linear function concepts, it is found that:

i) The equation of BC is given by: [tex]y = -\frac{2}{3}x + \frac{20}{3}[/tex].

ii) The coordinates of C are C(0,10) and the coordinate of D are D(14,6).

The diagram is missing, and is shown in the graph at the end of the answer.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the coordinates are given as follows:

A(2, 14), B(-2,8) and C(x,0).

From the diagram, AB and BC are perpendicular, meaning that the multiplication of their slopes is of -1.

Given two points, the slope is given by change in y divided by change in x. Hence the slope of AB is given as follows:

mAB = (8 - 14)/(-2 - 2) = 3/2.

The slope of BC is given as follows:

mBC = (0 - 8)/(x - (-2))

mBC = -8/(x + 2).

The multiplication of the slopes is of -1, hence:

mAB x mBC = -1

-12/(x + 2) = -1

- x - 2 = -12

x = 10.

Hence, the slope of BC is:

mBC = -8/(x + 2) = -8/12 = -2/3.

Then:

y = -2/3x + b.

When x = 10, y = 0, hence we can find b as follows:

0 = -2/3(10) + b

b = 20/3.

Hence:

The equation of BC is given by: [tex]y = -\frac{2}{3}x + \frac{20}{3}[/tex].

From the diagram, we also have that AB and CD are parallel, meaning that they have the same slope, hence, considering D(x,y), we have that:

mCD = mAB

y/(x - 10) = 3/2

y = 1.5(x - 10)

y = 1.5x - 15.

AD and BC are also parallel, hence:

mAD = mBC

(y - 14)/(x - 2) = -2/3

Since y = 1.5x - 15, we have that:

(1.5x - 15 - 14)/(x - 2) = -2/3

(1.5x - 29)/(x - 2) = -2/3

3(1.5x - 29) = -2(x - 2)

4.5x - 87 = -2x + 4.

6.5x = 91

x = 91/6.5

x = 14.

y = 1.5x - 15 = 1.5(14) - 15 = 21 - 15 = 6.

Hence:

The coordinates of C are C(0,10) and the coordinate of D are D(14,6).

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Answer:

[tex]-\frac{38}{3}[/tex]

Step-by-step explanation:

[tex]-12-\frac{2}{3}\\-12 = \frac{-36}{3} = \left(-36\right) \div 3\\\frac{-36}{3}-\frac{2}{3}\\=\frac{-36-2}{3}\\=\frac{-38}{3}[/tex]

Hope this helps!

If earth is approximately 5×[tex]10^{9}[/tex] years old, the the approximate age of earth is option C 4,953,000,000 years

Given,

The age of Earth =  5×[tex]10^{9}[/tex] years old

We know,

5×[tex]10^{9}[/tex]= 5000000000 years old

From the given option the closest number to 5×[tex]10^{9}[/tex] is 4,953,000,000 years old

Hence, if earth is approximately 5×[tex]10^{9}[/tex] years old, the the approximate age of earth is option C 4,953,000,000 years

Complete question is:

Earth is approximately 5x109 years old. For which of these ages could this be an approximation? Select all that apply.

A. 4.37 x 100 years

B. 4.679999999 x 10º years

C. 4,953,000,000 years

D. 4,625,800,000 years

E. 50,000,000,000 years​

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Answer:

Step-by-step explanation:

Answer:

75 * (625 percent) = 468.75

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

the equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

the line passes through (- 8, 1 ) and (7, 1 )

both with y- coordinates of 1 , then

y = 1 ← is the equation of the line

Answer: 3.5 cups

To solve, we'll need to multiply because we know the SIZE of the groups and the amount of groups but we don't know the total amount.

And the correct graph is the one in option b.

We know that you have 8 cups of flour, and it takes one cup of flour to make 24 cookies.

Then the linear function:

c(f) = 24*f

Relates the number of cookies that we can make using f cups of flour.

Then the possible domain of this function (the possible values of f) is given by:

0  ≤ f ≤ 8

The maximum number of cookies that can be made is:

24*8 = 192

And the range is:

0 ≤ c ≤ 192

With that in mind, we can see that the correct graph is the one in option b.

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Answer:

Step-by-step explanation:

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Answer:

C. 20

Step-by-step explanation:

10|7−x| here we are asked to find the absolute value.

x is given as 5 so if we just rewrite the expression:

10|7-5| = 20 because absolute value cannot be negative.

By using horizontal and vertical translations, we find that the expression for g(x) is g(x) = [tex]\sqrt[5]{x - 2}[/tex] + 1. (Correct choice: C)

The picture presents us the graphs of two functions. The blue function represents the parent function f(x), whose form is [tex]f(x) = \sqrt[5]{x}[/tex], whereas the black function is the transformed function g(x), which is the result of applying two transformations:

Then, we must apply the following definition involving the concepts of horizontal and vertical translations:

g(x) = f(x - 2) + 1     (1)

If we know that [tex]f(x) = \sqrt[5]{x}[/tex], then the complete expression of the function is:

g(x) = [tex]\sqrt[5]{x-2}[/tex] + 1

Hence, by using horizontal and vertical translations, we find that the resulting expression for g(x) is g(x) = [tex]\sqrt[5]{x - 2}[/tex] + 1. (Correct choice: C)

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Answer: x = -3

Step-by-step explanation:

     First, we will write an equation.

two times ➜ 2 *

7x plus 5 ➜ 7x + 5

equals -32 ➜ -32

       2(7x+5) = -32

     Next, we will solve by isolating the x variable.

2(7x+5) = -32

14x + 10 = -32

14x = -42

x = -3