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3 years ago

Zuri made 2 spheres using plaster. The smaller sphere has a radius of 6 cm. The larger sphere has a radius of 24 cm.

1 answer:

7 0

Since we are dealing with volume, when one object is 4 times bigger than another, the difference in volume is 4^3 = 64.

6 cm sphere = 4/3 *PI * 6^3
6 cm sphere = 4/3 *PI * 216
6 cm sphere = 904.78 cc

24 cm sphere = 4/3 *PI * 24^3
24 cm sphere = 4/3 *PI * 13,824
24 cm sphere = 57,905.84 cc

Comparing the volumes: 57,905.84 / 904.78 = 64

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Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of the function f(x)

we have the points

(0,-1) and (3,1)

substitute in the formula

$m=\frac{1+1}{3-0}$

$m_1=\frac{2}{3}$

step 2

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take two points of the given table

(0,2) and (3,4)

substitute in the formula

$m=\frac{4-2}{3-0}$

$m_2=\frac{2}{3}$

step 3

Compare the slopes

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therefore

The slope of f(x) is equal to the slope of g(x).

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Sample Space:

1. (real, white)

2. (real, silver)

3. (real, gold)

4. (real, purple)

5. (fake, white)

6. (fake, silver)

7. (fake, gold)

8. (fake, purple)

Step-by-step explanation:

Nour and Rana each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments.

Whose display correctly represents the sample space?

We are not given their sample space but still you can compare the sample space you have with this one to find out whether it is correct or not.

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1. Real

2. Fake

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1. white

2. silver

3. gold

4. purple

The sample space is the set of all the possible outcomes of an experiment.

Then all of the possible outcomes are:

1. (real, white)

2. (real, silver)

3. (real, gold)

4. (real, purple)

5. (fake, white)

6. (fake, silver)

7. (fake, gold)

8. (fake, purple)

Therefore, there are total 8 possible outcomes.

Note: If your sample space matches with this one then it is correct otherwise it is not correct.

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