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Aleonysh [2.5K]
3 years ago
6

If the volume of a cube is 1,728 cubic inches, find the side length of each of its sides.

Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Recall that the volume of a cube equals (side)^3. We can create an equation to model this.

1728 in^3 = (side)^3

We can get the cube root of both sides.

12 in = side

Each side is 12 inches long.

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An archeologist used the functions below to model the changing populations of two ancient cities as they grew in size. Compare t
Lyrx [107]

Answer:

The answer is "6.3 and 5.25"

Step-by-step explanation:

Please find the complete question in the attached file.

Throghout the question the calculated points are:

(0,0) , \ \ (40,252) \\(0,0) , \ \ (40,210) \\

Formula for Calculating slope:

M=\frac{y_2-y_1}{x_2-x_1}

For First point slope:

M=\frac{252-0}{40-0}=\frac{252}{40}= 6.3  \ \frac{people}{mi^2}

For second point slope: M=\frac{210-0}{40-0}=\frac{210}{40}=\frac{21}{4}= 5.25  \ \frac{people}{mi^2}

8 0
3 years ago
A company has 10 male and 11 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many di
Anvisha [2.4K]

2475 different teams can be formed.

Combination is the way in which items can be selected from a collection. If we have n total objects and r objects want to be selected, the number of combinations is:

C(n,r)=\frac{n!}{(n-r)!(r)!}

Since we need to nominate 2 men from a company of 10 males, the number of ways this can be done = C(10,2)=\frac{10!}{(10-2)!(2)!} =45\  ways

Also, we need to nominate 2 women from a company of 11 females, the number of ways this can be done =  C(10,2)=\frac{11!}{(11-2)!(2)!} =55\  ways

Therefore the total number of different teams that can be formed = 45 ways * 55 ways = 2475 ways

Find more at: brainly.com/question/8018593

3 0
3 years ago
What are the domain and range of each relation?
RSB [31]

Answer:

Please check the explanation.

Step-by-step explanation:

  • We know that the domain of a function is the set of input or argument values for which the function is real and defined.

Thus, the domain of the first relation is: {-2, -1, 0, 2}

  • We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

Thus, the range of the first relation is: {-4, -2, 2}

Given the second relation

x        y

-4      -2

-2       1

1         4  

4         4

  • We know that the domain of a function is the set of input or argument values for which the function is real and defined.

Thus,

The domain of the second relation is: {-4, -2, 1, 4}

  • We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

Thus,

The range of the second relation is: {-2, 1, 4, 4}

6 0
3 years ago
You have 120 pieces of fabric to make a blanket. Each piece of fabric is a square with a side length of 6 inches. you can use as
Andrei [34K]
<span>Area of blanket = 25 sq ft Pieces left over = 20 Need 1 more piece to make the blanket 5.5 ft on edge. Since you want a square blanket, the first step is to calculate the square root of 120, which is 10.95. Since you cannot use a fractional piece of cloth, that means the final blanket will have 10 squares of cloth per edge. What is the area of the blanket? Since there's 10 pieces of cloth per edge and each piece of cloth is a 6 inch square, each edge is 5 feet long. So the total area is 5 * 5 = 25 square feet. How many pieces of fabric is left over? Since there's 10 pieces of cloth per edge, the total number of pieces used will be 10 * 10 = 100. So the number of pieces left over will be 120 - 100 = 20 How many pieces of fabric do you need to increase the size of the blanket? Since the current size is 10x10, the next larger size is 11x11 which means a total of 121 pieces of fabric is needed. Of those 121 pieces, 100 is already being used for the blanket, so you need to add 121 - 100 = 21 pieces of fabric to the blanket. You already have 20 pieces available, so you only need to get 21 - 20 = 1 more piece to make the blanket larger.</span>
6 0
4 years ago
A credit card company advertises an APR of 14.7 compounded daily. What is the effective interest rate.Round your answer to two d
Gre4nikov [31]

Answer:15.83

Step-by-step explanation:

15.83 cuz I did it

5 0
3 years ago
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