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The distance from New York City, New York, to Paris, France, is 3628 miles and the distance from New York City to London, England, is 3463 miles. Which distance is greater, and by how much?
A. The distance between New York City and London is greater by 65 miles.
B. The distance between New York City and Paris is greater by 65 miles.
C. The distance between New York City and Paris is greater by 165 miles.
D. The distance between New York City and London is greater by 165 miles.

Answer:15.36

Step-by-step explanation:

Took the test

Answer:

h(x) and k(x)

Step-by-step explanation:

The functions that exhibit a removable discontinuity are function i(x) and function k(x)

"An equation of the form ax² + bx + c = 0 is a quadratic equation."

"It defines a relation between input and output values."

"This function has a discontinuity at one or more values mainly because of the denominator of a function is being zero at that."

"If adjusting the function's value at the point of discontinuity will render the function continuous, then such discontinuity is called removable discontinuity."

"If adjusting the function's value at the point of discontinuity will not render the function continuous, then such discontinuity is called non-removable discontinuity."

For given question,

1) Consider a function [tex]f(x)=\frac{x^{2} +4x-21}{x^{2} -13x+42}[/tex]

If we factorize the quadratic equation at numerator and denominator then the given function would be,

[tex]f(x)=\frac{(x-3)(x+7)}{(x-7)(x-6)}[/tex]

We can observe that the function f(x) is discontinuous at x = 7 and x= 6.

So, the function f(x) has non-removable discontinuity.

2) Consider a function [tex]g(x)=\frac{2x^{2} -5x+12}{2x+3}[/tex]

We can observe that the function g(x) is discontinuous at x -3/2.

We cannot factorize the quadratic equation at numerator.

So, the function g(x) has non-removable discontinuity.

3) Consider a function [tex]h(x)=\frac{x-3}{x^{2} -9}[/tex]

If we factorize the quadratic equation at denominator then the given function h(x) would be,

[tex]\Rightarrow h(x)=\frac{(x-3)}{(x-3)(x+3)}\\\\\Rightarrow h(x)=\frac{1}{x+3}[/tex]

We can observe that the function h(x) is discontinuous at x = -3

So, the function h(x) has non-removable discontinuity.

4) Consider a function [tex]i(x)=\frac{x^{2} -8x+15}{x-5}[/tex]

If we factorize the quadratic equation at numerator then the given function would be,

[tex]\Rightarrow i(x)=\frac{(x-5)(x-3)}{x-5}\\\\ \Rightarrow i(x)=x-3[/tex]

We can observe that the function i(x) is a continuous function.

So, the function i(x) has removable discontinuity.

5) Consider a function [tex]j(x)=\frac{x+4}{-2x+8}[/tex]

We can observe that the function j(x) is discontinuous at x = 4

And the function j(x) has non-removable discontinuity.

6) Consider a function [tex]k(x)=\frac{2x^{2} +x-15}{2x-5}[/tex]

If we factorize the quadratic equation at numerator then the given function would be,

[tex]\Rightarrow k(x)=\frac{(x+3)(2x-5)}{(2x-5)}\\\\ \Rightarrow k(x)=x+3x^{2}[/tex]

We can observe that the function k(x) is a continuous function.

So, the function k(x) has removable discontinuity.

Therefore, the functions that exhibit a removable discontinuity are function i(x) and function k(x)

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9514 1404 393

Answer:

  arc FG = 115°

  arc EG = 165°

Step-by-step explanation:

The first step is to understand how these arcs are arranged on a circle. The next step is to realize the whole is the sum of the parts. Arcs have the same measure as their central angle. A circle totals 360°.

  arc EF + arc FG = arc EFG . . . . parts of an arc add to give the whole arc

  80° + arc FG = 195°

  arc FG = 115° . . . . . . . . . subtract 80°

__

Similarly, parts of a circle add to give the whole circle.

  arc EFG + arc EG = 360°

  195° + arc EG = 360°

  arc EG = 165° . . . . . . . . . subtract 195°

Answer:

[tex] \frac{ \frac{1}{ \cos(x) } - 1 }{1 + \frac{1}{ \cos(x) } } = \frac{ \frac{1 - \cos(x) }{ \cos(x) } }{ \frac{1 + \cos(x) }{ \cos(x) }} = (1 - \cos(x)) \times (1 + \cos(x)) = 1 - { \cos(x) }^{2} = { \sin(x) }^{2} [/tex]

Answer:

30 m

Step-by-step explanation:

You simply add the lengths of all the sides. 3 m is not needed for this.

Answer:

10+5+4+6+5 = 30m

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]y = -3x + 2[/tex]

Required

The true statement

The question is incomplete, as no option is given.

I will solve generally, as follows;

A linear equation is represented as:

[tex]y =mx+b[/tex]

Where

[tex]m \to[/tex] slope

[tex]b \to[/tex] y intercept

So, by comparison:

[tex]m = -3[/tex]

[tex]b = 2[/tex]

Hence, the graph has a slope of -3 (a negative slope)

And the y intercept of 2

Answer:

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

Step-by-step explanation:

Margin of error

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Standard deviation of 1.3

This means that [tex]\sigma = 1.3[/tex]

She surveys 124 families

This means that [tex]n = 124[/tex]

Margin of error and meaning:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]

[tex]M = 0.3012[/tex]

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

Answer:

The correct answer is 6

Step-by-step explanation:

42 = 7r

R = 42/7 = 6

Answer:

r=6

Step-by-step explanation:

Divide both sides of the equation by the same term

simplify

Answer:

b

Step-by-step explanation:

plato

If Henry decides to mow lawns then the opportunity cost would be - the chance to earn by working in a library

The correct answer is an option (B)

We know that,

Henry wants to get a job this summer.

He can either mow lawns or work in the local library.

if he decides to mow lawns, he would lost the chance to earn by working in a library.

This means, the opportunity cost is - the chance to earn by working in a library

Therefore, if Henry decides to mow lawns then the opportunity cost would be - the chance to earn by working in a library

The correct answer is an option (B)

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Answer:123 because 1 is before 2

Answer:

I don't know what I have already asked for record

The percent of people at the football game are not students will be 57.33%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The number of peoples in football game = 750

The number of students = 320

Now.

Find the percent of people at the football game are not students as;

Number of people are not students = 750 - 320

                                                       = 430

Thus, The percent of people at the football game are not students is;

Percent = 430 / 750 x 100

            = 0.5733 x 100

            = 57.33%

Hence, The percent of people at the football game are not students will be 57.33%.

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Answer:

Is 4 inches or B

Step-by-step explanation:

I can't really break it down but I did get it right on Edge 2021.

Answer:

the correct answer would be the first one, 72a^3

Answer:

the first one

Step-by-step explanation:

Answer: $42 left

Step-by-step explanation:

30% of 60 = 18 60-18 leaves $42

Answer:

B

Step-by-step explanation:

9*6k+9*3r

54k+27r so the answer is B

Answer:

Step-by-step explanation:

Let x = to the number of nickels.

Let x + 7 = the number of quarters.

So multiply x by .05 to find out how much the nickles are worth and

multiply x + 7 by .25  to find out how much the quarters are worth.

Then add them together to get the total and solve.

.05x + .25(x + 7) = 2.65

.05x + .25x + 1.75 = 2.65

.30x + 1.75 = 2.65

Subtract 1.75 from each side of the equation.

.30x = .90

x = 3

x + 7 = 10

So 10 is the number of quarters.

Answer:

Step-by-step explanation:

we only have to have 7 more quarters than nickels.. so put one nickel and 8 quarters

that's $2.05

now make up the rest to make 2.65

add 6 dimes and you've got it :)

1 nickel

6 dimes

8 quarters

Answer:

The answer is going to be letter B.

Answer:

it will take her 30 minutes long

Answer

30 minutes

Step-by-step explanation:

6 is half of 12 and Nancy is moving 12 mph. half of an hour is 30 minutes so the answer would be 30 minutes.

Answer:

D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:5

Start striking off the numbers one from the left and then from the right continuously until you're left with a number in the middle

Answer:

= 2 7 /2 8

Step-by-step explanation:

Answer:

x = 1 1/8

Step-by-step explanation:

2x - 1/4 + x/3 = 2

2x + x/3 = 2 1/4 (added 1/4 to both sides)

6x = 6.75 (multiplied both sides by 3)

x = 1 1/8, or 1.125

:-)

Answer:

(x-7) squared over 8

Step-by-step explanation:

[tex]y=\frac{(x-7)^{2} }{8}[/tex]

Answer:

maybe it is 3600 m not sure though