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3 years ago

What is the average rate of change for the line graphed in the figure above

Mathematics

1 answer:

vlabodo [156]3 years ago

6 0

Answer:

5/8

Step-by-step explanation:

I used the slope formula of y2-y1/x2-x1

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A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.

nignag [31]

Answer:

A. 10cm

B. 8 times

Step-by-step explanation:

The question is on volume of a conical container

Volume of a cone= $\pi r^{2} h/3$

where r is the radius of base and h is the height of the cone

Given diameter= 12 cm, thus radius r=12/2 =6 cm

$v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h$

h=10 cm

If height and diameter were doubled

New height = 2×10 =20 cm

New diameter = 2×12 = 24, r=12 cm

volume = $v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi$

To find the number of times we divide new volume with the old volume

$N= 960\pi /120\pi \\\\N= 8$

8 0

3 years ago

Read 2 more answers

Boys join code = rfu-mqrx- ocr

jeka57 [31]

Ok but For what game.

5 0

3 years ago

Read 2 more answers

If P(x) = x ^ 2 + x + 3 and Q(x) = 4x ^ 2 - 3 find P(8) .

lara [203]

Answer:

Step-by-step explanation:

Giving Q was not necessary because you aren't doing P(Q) or anything like that....

Anyways,

$p(x) = x^2 + x +3\\$

Since you're doing p(8), you would replace the x's with 8s.

$(8)^2 + (8) + 3 = 64 + 8 + 3 =75$

So your final answer would be 75.

6 0

3 years ago

Can you do the grade 6 one thanks offering 1000(Promise) points for the first one to answer. Iam offering this much because its

DedPeter [7]

Answer:

She needs to finish in 48.7 percent of the time it normally takes her

Step-by-step explanation:

6th grade math problem

swim 15 minutes 45 seconds

bike ride 45 minutes

She want to complete the 3 events in 70 minutes

swim + bike + run = 70

15 minutes 45 seconds + 45 minutes + run = 70 minutes

Combine like terms

60 minutes 45 seconds + run = 70 minutes

Subtract 60 minutes 45 seconds from each side

60 minutes 45 seconds - 50 minutes 45 seconds + run = 70 minutes - 60 minutes 45 seconds

run = 9 minutes 15 seconds

Her training run was 19 minutes

The percent of time she needs to take is time to finish / training run time

percent = 9 minutes 15 seconds/ 19 minutes

We need to put this in minutes. There are 60 seconds in 1 minute

9 minutes 15 seconds = 9 minutes 15/60 = 9.25 minutes

percent = 9.25 minutes / 19 minutes

percent = .486842105

percent = 48.7 percent

She needs to finish in 48.7 percent of the time it normally takes her

4 0

3 years ago

Read 2 more answers

A system of equations is shown below. Find the solution by using substitution.

ASHA 777 [7]

Answer:

a) $(-2, 0)$

Step-by-step explanation:

x + 2 = 3x + 6

-3x - 3x

___________

−2x + 2 = 6

- 2 - 2

_________

4 = −2x

_ ___

−2 −2

$-2 = x$ [Plug this back into both equations above to get the y-coordinate of 0]; $0 = y$

I am joyous to assist you anytime.

5 0

3 years ago