A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function =S+16.950.60M, where M is the number of miles driven.
The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+4.900.15M.

Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.

Answer:

I don't know and your read in which class

====================================================

Reason:

Focus on the numerator for now. The [tex](11^8)^2[/tex] is the same as [tex]11^{16}[/tex] because we multiply the exponents. The general rule is [tex](a^b)^c = a^{bc}[/tex]

Alternatively we can think of it like this

[tex](11^8)^2 = (11^8)(11^8) = 11^{8+8} = 11^{16}[/tex]

So far we have [tex]\frac{(11^8)^2}{11^3} = \frac{11^{16}}{11^3}[/tex]

------------

The last step is to subtract exponents due to the rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex] and the order of subtraction is important.

Therefore, [tex]\frac{(11^8)^2}{11^3} = \frac{11^{16}}{11^3} = 11^{16-3} = 11^{13}[/tex]

Given that:

To find:

So, according the question,

Let's assume, total no. of students in class is x.

So, we know that

Conditional probability P( A IIIrd | A Ist ) = [tex]\frac{P(III^{rd} \cap I^{st}) }{P(I^{st})}[/tex]

From question,

P( A IIIrd ∩ A Ist) = 12/x. and

P(A Ist) = 27/12.

Now, putting the values

So, we will get

              P( IIIrd | Ist ) = [tex]\frac{P(III^{rd} \cap I^{st}) }{P(I^{st})}[/tex]

              P( IIIrd | Ist ) = [tex]{(\frac{12}{x})}\div {(\frac{27}{x} )}[/tex]

                                  = [tex]\frac{12}{x} \times \frac{x}{27}[/tex]

                                  = 12/27

                                  = 4/9            

Answer:

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There are 51 metal benches in the park

According to the question we have been given that

   Number of wooden benches = 24

We have to calculate number of metal benches.

Let the number metal benches be x.

The according to the question

     W = x - 27 where, W = wooden benches

Here , W = 24

Putting the required in the above equation for x we get

  24 = x - 27

x = 24 + 27

 x = 51

Hence the number of metal benches = 51 and we can see that 27 less of metal benches is 24 which is the number of wooden benches.

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The parent function will shift the right side by 3 units after applying the transformation x → (x - 3).

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.

It is given that:

The parent function is:

y = x²

After applying the transformation:

x → (x - 3)

The function will shift the right side by 3 units.

The equation of the function will be:

y = (x - 3)²

Thus, the parent function will shift the right side by 3 units after applying the transformation x → (x - 3).

The complete question is:

Describe the Transformation y=(x - 3)² if the parent function is y = x²

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The correct option is D.The function F(G(H(y))) depends on G(H(y)).

For the given question-

A function is defined by its argument (values in parentheses after a function name). G(H(x)) is the argument of function F in F(G(H(x))).

F(G(H(x)) is dependent on G(H(x)).

Answers A and C make no statements about the particular composition. Answer option B depicts a composition (H(G(x)) that is unrelated to the argument of function F.

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The complete question is-

Which of the following is true of the composition F(G(HyX)))?

A. The function G(F(H(y))) depends on G(H(y)).

B. The function F(G(H(y))) depends on H(G(y)).

C. The function H(G(F(y))) depends on G(F(y)).

D.The function F(G(H(y))) depends on G(H(y)).

Answer:

ummm idek

Step-by-step explanation:

The sentence can be written as:

x + 2 = 23

And the solution is x = 21.

Here we have the sentence:

" The sum of 2 and a number is 23."

Let's define x as the number, then we can write the equation:

x + 2 = 23

This is a simple linear equation, to solve this we need to subtract 2 in both sides of the equation, we will get:

x + 2 - 2 = 23 - 2

x = 21

We conclude that the number is 21.

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Step-by-step explanation:

33 1/3 = (3×33 + 1)/3 = 100/3

51 = 100/3 × x

153 = 100x

x = 153/100 = 1.53

1.53 × 33 1/3 = 51

so, "that" number is 1.53.

Answer:

This is terminating.  As a fraction it would be: [tex]\frac{6294}{10000}[/tex] not simplified

Step-by-step explanation:

If it was repeating you would see a repeat bar over part of the number. Or 3 .... showing that the number goes on.

Answer:

0

Step-by-step explanation:

Since the Y coordinate does not change the slope is 0

Answer:

is this flvs full flex? I'm in this as well, whats your grade?

also im doing 12th grade math if you havent gotten to that point yet you will be working in Aleks for math and phewww, good luck i hate this

Step-by-step explanation:

Answer:

[tex]{ \tt{ - 4(2w + 7)}} \\ = { \tt{( - 4 \times 2w) + ( - 4 \times 7)}} \\ = { \tt{ - 8w - 28}}[/tex]

The statement which describes the ratio of apples to oranges is; Choice D; 3:1 because the shopper bought 3 apples for every orange.

It follows from the task content that the shopper in discuss bought; 15 apples and 5 oranges.

On this note, by dividing both numbers by their greatest common factor, it follows that the resulting ratio is;

(15/5) : (5/5)

= 3 : 1.

Hence, Choice D is correct; 3:1 because the shopper bought 3 apples for every orange.

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The equation that can be used to solve for the unknown number that Alex is thinking is 7x + 27 = 111

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the unknown number. The number is multiplied by 7 and the added with 27. The result is equal to 111. Hence:

7x + 27 = 111

The equation that can be used to solve for the unknown number that Alex is thinking is 7x + 27 = 111

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Based on the concentration of the saline solution and the cubic centimeters of the saline solution, the amount that should be mixed is 140 cubic centimeters

Assuming that the quantity of the saline solution that Kent should mix is denoted by x, the formula would be:
0.08x + (0.18 x 60) = 0.11 (x + 60)

Solving gives:

0.08x + 10.8 = 0.11x + 6.6

10.8 - 6.6 = 0.11x - 0.08x

4.2 = 0.03x

x = 4.2 / 0.03

x = 140 cubic centimeters

In conclusion, 140 cubic centimeters of the saline solution is needed.

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the growth of a plant or the amount of money you'll have off a banks interest overtime

Answer:

x=90, y= 130

Step-by-step explanation:

The ordered pair given are not inverse to each other because:

When two functions are inverse to each other substituting a value A in function say AA will give answer say X, substituting the answer X to the the other function say BB returns the value A.

Instance

say function AA, plug in A gives X

the inverse will be:

say function BB plug in X gives A

So, we have  f(x)=2x+5 and g(x)= x-5/2

plugging in say 5/2 in f(x) will give

f(x) = 2 * 5/2 + 5

f(x) = 5 + 5

f(x) = 10

We plug in 10 to g(x)= x-5/2

g(x) = 10 - 5/2

g(x)= 7/2

since 7/2 ≠ 5/2 the pair of functions are not inverse to each other

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The instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.

The instantaneous rate of change is simply the change in the derivative value at a specific point.

Given the data in the question;

To determine the instantaneous rate of change of the function, first find the derivative of the function.

f(x) = −4x² − 3x + 1

Applying sum rule, with respect to x

d/dx[ -4x² ] + d/dx[ -3x ] + d/dx[ 1 ]

[ 2 × -4x¹ ] + [ 1 × -3x⁰ ] + d/dx[ 1 ]

[ -8x ] + [ -3 ] + d/dx[ 1 ]

-8x - 3 + d/dx[ 1 ]

Differentiate using constant rule

-8x - 3 + [ 0 ]

-8x - 3

f'(x) = -8x - 3

Next, plug x = -3 into the derivative and simplify.

f'(x) = -8x - 3

f'(-3) = -8(-3) - 3

f'(-3) = 24 - 3

f'(-3) = 21

Therefore, the instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.

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After the solution, we can conclude that (A) the slope of f(x) is higher.

Now that you have a function but can only evaluate it using a table, you can determine the slope using the following formula:

[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

Simply choose two points from the table to enter into the formula; in this example, we'll use points (4, 7) as our points 1 and our second point is (6,9).

This implies:

You just need to enter it into the formula:

Now that we know both slopes, you can see that g(x) has a slope of 1, while f(x) has a slope of 4, indicating that f(x) has a steeper slope than g(x).

Therefore, (A) f(x) has a greater slope.

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The complete question is given below:
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope.

g(x) has a greater slope.

The slopes of f(x) and g(x) are the same.

The slope of g(x) is undefined.

Answer:

After the solution, we can conclude that (A) the slope of f(x) is higher.

Step-by-step explanation:

What is the slope?

A line's steepness can be determined by looking at its slope.

The slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The letter M stands for the slope of a function of the form y=Mx+C, so the slope of the function F(x) =4.

Now that you have a function but can only evaluate it using a table, you can determine the slope using the following formula:

Simply choose two points from the table to enter into the formula; in this example, we'll use points (4, 7) as our points 1 and our second point is (6,9).

This implies:

x¹ = 4y¹ = 7

x² = 6y² = 9

You just need to enter it into the formula:

m = 9-7/6-4

m = 2/2

m = 1

Now that we know both slopes, you can see that g(x) has a slope of 1, while f(x) has a slope of 4, indicating that f(x) has a steeper slope than g(x).

Therefore, (A) f(x) has a greater slope.

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The complete question is given below:

Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope.

g(x) has a greater slope.

The slopes of f(x) and g(x) are the same.

The slope of g(x) is undefined.

For the given set of data, the value of mean is 83, median is 87 and standard deviation is 11.03

Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the average of the squared deviations from the mean, it is the square root of the variance.

The mean score is - Sum of all scores / total number of scores

= 89 + 72 + 96 + 87 + 64 + 93 + 80 / 7

= 83

So the mean of given scores is 83

Median = central term

= 64, 72, 80, 87, 89, 93, 96

Median = 87

Mode of the data is - no mode as there are no recurring terms given

Standard deviation -

variance = (89 - 83)² +(72 - 83)² + (96 - 83)² + (87 - 83)² + (64 - 83)² + (93 - 83)² + (80 - 83)² / 7

= 121.71

standard deviation = √variance

⇒ standard deviation = 11.03

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In linear equation ,242 total number of members within 5 weeks.

What is linear equation ?

a manual computation on how 1 member recruits his members until week 5. Then multiply the sum by 2.

                            old      new

1:   1

2:   1 x 3 = 3 ⇒        1         3       *only new members recruit 3 more

3:   3 x 3 = 9 ⇒        4         9

4:   9 x 3 = 27⇒     13       27

5: 27 x 3 = 81 ⇒    40       81

40 + 81 = 121. Total number of members under 1 founding member.

121 x 2 founding members = 242 total number of members within 5 weeks.

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Answer: Option C

Step-by-step explanation:

Answer: Exponential decay

Explanation: The base of the actual exponential function, [tex]0.93^{x}[/tex], is less than 1, which means that the output will become smaller.

The library has more volumes in El Paso.

The number sentence that shows the comparison is 1,232,185 < 1,277,003

Hence, El Paso; 1,232,185 < 1,277,003. Option D

This is further explained below.

Generally, A library is a collection of resources, such as books or other forms of media, that are made available for use rather than being kept only for the purpose of the show.

A library is a facility that makes resources available for physical or digital access, and it may exist either as a real place or as a virtual area, or both.

In conclusion, The library has more volumes in El Paso.

The number sentence that shows the comparison is 1,232,185 < 1,277,003

Hence, El Paso; 1,232,185 < 1,277,003.

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Answer:

9882 hzjsjs en kIskoaisjdjksjssjjdjsjsjjzjsjsjzjNNKsk

Answer:Jack has 60% of the books left to stack.

Step-by-step explanation:

Answer:

Step-by-step explanation:

60% (300-120) 180/300*100=60.  60%