A burrito company uses the function C(x) = 1.74x2 to calculate the number of calories in a tortilla with a diameter of x inches.
a) Find the average rates of change for the function over the intervals 6 < x < 8 and 9 < x < 11.
b) Interpret the average rates of change.
c) What does the difference in the average rates of change mean in terms of the situation?

Answer:

Step-by-step explanation

volume formulae = π r² h

3.14 × 4² × 3

3.14 × 16 × 3

= 150.72 for 1 candle

150.72 × 130

= 19593.6

Answer:

6

Step-by-step explanation:

Let's make 8% into a fraction:

[tex]\frac{8}{100}[/tex]

Since, finding a fraction of a number is also the same as multiplying the fraction with the number, we have this equation:

[tex]\frac{8}{100}[/tex] of 75 =

[tex]\frac{8}{100}[/tex] x 75.

Equaling to the answer:

6

I tried to keep it as simple as possible.

Answer:

80 points

Step-by-step explanation:

40/6= 6.6666666667

6.6666666667*12=80.0000000004

rounded 80

Answer:

The part of the whole was not converted to a decimal or fraction

Step-by-step explanation:

700 is not 35% of 20.

This can be concluded with the product not being calculated properly to calculate 35% of 20.

We first need to turn 35% (whole number) into a decimal of 0.35 to figure out the percentage.

so the actual calculation:
0.35x20

= 7

Correct the error:
ANS: 7 is 35% of 20.

Answer:

B; 7

Step-by-step explanation:

35% = 0.35 (decimal form)

Therefore: 0.35 x 20 = 7

Answer: 45

100% of 18 = 18

50% of 18 = 9

18 + 18 = 36 = 200%

36 + 9 = 45 = 250%

:)

Answer: 45

Step-by-step explanation:

To find a percentage of a number, like what we're being asked to do, you multiply the number ( 18 in this case ) with the decimal form of the percentage. So, since we know 100% is equal to 1, 150% is equal to 1.5 and so on, 250% must be equal to 2.5. Since we know this, we now do:

2.5 x 18 = 45.

Answer:

c 4/twenty-

Step-by-step explanation:

I say it's the best one

Answer:

2/9

Step-by-step explanation:

because 2 bags and 9 marbles

so if he can only select one marbles

its a 2/9 chance

Answer:

25.6

Step-by-step explanation:

4/5 of 32 is equal to 25.6. To calculate this, we can multiply 4/5 by 32. 4/5 = 0.8, so 0.8 x 32 = 25.6.

Answer:

25.6

Step-by-step explanation:

The circumference of the circle is 24π cm.

The area of a circle is given by the formula:

                                A = πr²

where A is the area of the circle and r is the radius.

In this problem, we know that the area of the circle is 144π cm^2. Substituting this value into the formula, we get:

                               144π = πr²

Dividing both sides by π, we get:

                               r² = 144

Taking the square root of both sides, we get:

                               r = 12

Therefore, the radius of the circle is 12 cm.

The circumference of a circle is given by the formula:

                               C = 2πr

Substituting the value of r, we get:

                               C = 2π(12)

Simplifying, we get:

                               C = 24π

Therefore, the circumference of the circle is 24π cm.

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Answer:

Therefore, the circumference of the circle is 24π cm.

Step-by-step explanation:

A circle's circumference is the distance around its outside.. It is similar to the perimeter of other shapes such as squares. Consider it to be the line that defines the shape.

The circle's circumference is 24 cm.

The area of a circle is:

                              A = πr²

where A denotes the circle's area and its radius.

In this problem, we know that the area of the circle is 144π [tex]cm^2.[/tex] Exchange this value into the formula, and we get.

       144π = πr²

Divide π by both sides, and we get:

        r² = 144

Take the square root on both sides, and we get:

          r = 12

The radius of the circle is 12cm.

The circumference of a circle is:

          C = 2πr

Exchange the value of r, we get:

           C = 2π(12)

Finally, we get:

             C = 24π

Therefore, the circumference of the circle is 24π cm.

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To learn more about radius of the circle,

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Answer:

24 frames per second

Step-by-step explanation:

There are 24 frames per second in the anime because when you divide 86,400 by 3,600 you get 24.

Answer:

24

Step-by-step explanation:

Based on the given conditions, formulate: 86400/3600

Cross out the common factor:24

answer: 24

Answer:

30

Step-by-step explanation:

I believe the problem is worded to be a proportional equation:

[tex]\displaystyle \frac{21}{x}=\frac{7}{10}\\\\21*10=7x\\\\210=7x\\\\30=x[/tex]

Answer:

Step-by-step explanation:

(51-8)/51 = 43:51

Answer: what he said

Step-by-step explanation:  XD

Answer:

A). 1/8

B). 5 cups

C). 8/1

D). 40 cookies

E). 0 cookies

Answer: A

The

Step-by-step explanation:

Hello! :)

(-2 7/8)(-4 4/5)

1. - 2x8+7/8 x -4 4/5

2. - 16+7/8 x -4 4/5

3. -23/8 x -4 4/5

4. - 23/8 x -24/5

5. - 23x-24/8x5

6. - -552/8x5

7. - -552/40

8. -(- 552/40)

9. -(-69/5)

10. 69/5

11. 13[tex]\frac{4}{5}[/tex]

Exact form: 69/5

Decimal form: 13.8

Mixed number form: 13 4/5

Answer:

most stuff you need to solve for adds to 180; answers on pictures

Step-by-step explanation:

step explanation: it helped me with a lot of assignments.

Answer:

28+x

Step-by-step explanation:

6+6=12

8+8=16

12+16= 28

Answer:

A and C

1st and 3rd equations

The angles are;

A = 60

B = 38

C = 82

The cosine rule is a mathematical formula used in trigonometry to determine the lengths of sides of a triangle, given the lengths of two sides and the measure of the angle between them. The cosine rule states that the square of the length of a side of a triangle is equal to the sum of the squares of the lengths of the other two sides, minus twice the product of the lengths of those sides and the cosine of the angle between them.

c^2 = a^2 + b^2 - 2abCos C

7^2 = 5^2 + 8^2 - 2(5 *8) Cos C

49 = 25 + 64 - 80 CosC

-40  = -80 CosC

Cos C = 0.5

C = 60°

b^2 = a^2 + c^2 - 2ac Cos B

5^2 = 8^2 + 7^2 - 2(8 *7) Cos B

25 = 64 + 49 - 112Cos B

Cos B = 38

C = 180 - (60 + 38)

A = 82

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Answer:

126cm³

Step-by-step explanation:

In order to find the volume of the cube, you must multiply all three units together. So we would multiply 7·6·3=42·3=126. Then since we multiplied 3 units together, our final answer is 126cm³  

Answer:

Hello!!! :)))

A=2(wl+hl+hw)=2·(3·6+7·6+7·3)=162

Answer: 162 cm2

Hint when finding the surface area it will be [tex]cm^{2}[/tex],  [tex]in^{2}[/tex] ,  [tex]ft^{2}[/tex] , etc.

Answer: 62 miles per day

Step-by-step explanation:

3100 = 50x

3100/50 = 50x/50

62 = x

A person has to run 62 miles each day to complete the Self Transcendence 3,100-mile race in 50 days.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

To find out how many miles a person has to run each day, we need to solve the equation:

3100 = 50x

Dividing both sides by 50, we get:

62 = x

Therefore, a person has to run 62 miles each day to complete the Self-Transcendence 3,100-mile race in 50 days.

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Your first answer is correct, the 2nd one is wrong though. If you look at the table when c is 21 a is 5. The next one is 15 because if you plug 5 in the equation you get 15. Not sure about the third question I think c is right though. For the last one -3 is incorrect and should be 0, 12 is fine and 10 should be 5.

Answer:

Step-by-step explanation:

C :)

Answer: Yes

Step-by-step explanation:

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.

Answer: h

Step-by-step explanation:

Answer:

$34.74

Step-by-step explanation:

The discount price is 0.82 * 40 = $32.80

The sales tax adds an additional 1.94 leaving you with 34.74

Hope that helps.

Answer:

BC14.5 AC 11.3

Step-by-step explanation: