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Llana [10]
3 years ago
8

a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?

Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0

Answer:

4 units

Step-by-step explanation:

volume of cube = 64 cubic units

\therefore \:  {s}^{3}  = 64 \\  \\  \therefore \:  {s}^{3}  =  {4}^{3}  \\  \\ \therefore \:  {s}=  {4} \: units

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An NFL coach sometimes uses a defense that utilizes 3 defensive linemen, 4 linebackers, and 4 defensive backs. His roster (the p
Alexandra [31]

Answer:

68,600

Step-by-step explanation:

The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Defensive Lineman:

3 from a set of 8. So

C_{8,3} = \frac{8!}{3!5!} = 56

56 combinations of defensive lineman

Linebackers:

4 from a set of 7. So

C_{7,4} = \frac{7!}{4!3!} = 35

35 combinations of linebackers

Defensive backs:

4 from a set of 7. So

C_{7,4} = \frac{7!}{4!3!} = 35

35 combinations of defensive backs

How many different ways can the coach pick the 11 players to implement this particular defense?

56*35*35 = 68,600

68,600 different ways can the coach pick the 11 players to implement this particular defense

7 0
3 years ago
A rental car company charges a base fee of $46.88 plus $0.79 per mile driven. If x represents the number of miles driven, which
Dahasolnce [82]

Answer:

B.  

y = $0.79x + $46.88

Step-by-step explanation:

total cost of bill = flat rate plus cost per mile times miles driven

y = $46.88 +$0 .79 *x

4 0
3 years ago
Read 2 more answers
Select all the correct answers. Margie measured the distance from her front door to her mailbox to be 600 cm. How far does Margi
LenaWriter [7]
6000mm = 600cm
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3 0
3 years ago
A. 2 B. -2 C. 0 D. -2
sweet [91]

Answer:

d. -2 <= y <= infinity

Step-by-step explanation:

The graph starts at -2 with a solid (colored in) point on the -2. So there are no y's less than -2 on the graph.

The graph continues to go up. Yes, it goes to the right, but we are looking at the y's. There is an arrow at the right end of the graph which means it continues to go up forever.

-2 <= y <= infinity

6 0
2 years ago
Suppose that vehicles arrive at a fast food drive-through at a
vova2212 [387]

Answer:

In the study of probability theory, the central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution. The average is a result of common characteristic within the group. As a general rule, sample sizes equal to or greater than 30 are deemed sufficient for the CLT to hold, anything less - ie; daily d=20 x 1ph may mean less cars ) it becomes a general rule, where sample sizes equal to or greater than 30 are deemed sufficient for the CLT to hold

Step-by-step explanation:

5 0
3 years ago
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