Container A is cylinder with a radius of 6 units and a height of 6 units. A right cone has been carved from its base and has a height of 6 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container A?



1 over 3π(62)(6) − π(62)(6)
2[1 over 3π(62)(6) − π(62)(6)]
2[π(62)(6) − 1 over 3π(62)(6)]
π(62)(6) − 1 over 3π(62)(6)

Answer:

She receives 700 country A dollars.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

1.4 country a dollars Per country B dollar

She exchanges 500 country B dollars, so:

1.4 country A dollars - 1 country B dollar

x country A dollars - 500 country B dollars

Applying cross multiplication:

[tex]x = 1.4*500 = 700[/tex]

She receives 700 country A dollars.

Answer:

The answer is going to be letter B.

Answer:15.36

Step-by-step explanation:

Took the test

Answer:123 because 1 is before 2

Answer:

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

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:

True

Step-by-step explanation:

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:

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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Answer:

B

Step-by-step explanation:

9*6k+9*3r

54k+27r so the answer is B

Answer:

It would travel 157,8 miles with 9 gallons of gas.

Step-by-step explanation:

15 gallons / 263 miles

= 3 gallons / 52,6 miles

= 9 gallons / 157,8 miles.

Answer: $42 left

Step-by-step explanation:

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

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:

3/4

Step-by-step explanation:

Each one of them will get 3/4 or 0.75

Answer:

3/4 or 0.75

Step-by-step explanation:

1 1/2 divided by 2 is 3/4 or 0.75

Check:

3/4+3/4=6/4=1 1/2

Hope this helps! Have a nice day :)

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.

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:

The answer is  A there you go the other person tricked you he just said easy so he can have enough words to get the points next time do not be fooled :)

Answer:

i. ¯x= 8

ii. sx= 4

iii. n= 81

iv. n−1= 80

Step-by-step explanation:

i. ¯x=

This is the sample mean, which is 8 hours.

ii. sx=

Standard deviation of the sample, which is of 4 hours.

iii. n=

Size of the sample, which is 81.

iv. n−1=

Degrees of freedom(sample size subtracted by 1), which is 81 - 1 = 80

Answer:

D

Step-by-step explanation:

Answer:

are those synthetic division?

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:

3 cups of sugar

Step-by-step explanation:

you increase it as per ratio,in this case ratio is 1.5

Answer:

maybe it is 3600 m not sure though

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:

Your answer would be x = 1/2

Step-by-step explanation:

1/x = 2

You would divide x on both sides...then they would cancel each other out.

But now you're left with...

1 = x•2

So, re-order the terms so constants are on the left

1 = 2x

Divide 2 on both sides...

Now you're left with

1/2=x or more practically it would be x = 1/2

Hope this helps!

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:

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