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Veseljchak [2.6K]
3 years ago
5

A prism is completely filled with 96 cubes that have edge length of 12 cm. What is the volume of the prism?

Mathematics
2 answers:
irga5000 [103]3 years ago
5 0
79296 is the volume of the prism
stich3 [128]3 years ago
3 0

Answer:

12

Step-by-step explanation:

I go to k12

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3. The sales director a manufacturer decides to try out two different methods of distributing and seling a new video game. The g
lesya [120]

Answer:

The number of games that need to be sold to the retailer in order for the profit to be about equal is approximately 555 games

Step-by-step explanation:

The given parameters are;

The net profit at which each game is sold to a retailer = $9.90

The net profit at which each game is sold at the factory outlet  = $10.99

The number of units sold by the outlet = 500

The amount in profit from selling at the factory outlet = 500 × $10.99 = $5,495.00

The number of games that need to be sold to the retailer in order for the profit to be about equal is given as follows;

Let "x" represent the number of games that need to be sold to the retailer in order for the profit to be about equal

Therefore, we have;

x × $9.90/game = $5,495.00

x = $5,495.00/($9.90/game) = 555.\overline {05} games ≈ 555 games

Therefore, the number of games that need to be sold to the retailer in order for the profit to be about equal = x ≈ 555 games.

7 0
3 years ago
Find the common difference in the arithmetic sequence where p35 =-9p + 4 and p28 = 5p - 17?
Sphinxa [80]
P(35) = -9p + 4 = -9(35) + 4 = -315 + 4 = -311
p(28) = 5p - 17 = 5(28) - 17 = 140 - 17 = 123

a + 34d = -311
a + 27d = 123

7d = -434
d = -62

Therefore, the commpm difference is -62.
6 0
3 years ago
Is anyone able to help me with this please?
Lapatulllka [165]

9514 1404 393

Answer:

  • range: -2 ≤ y
  • domain: All reals

Step-by-step explanation:

The range of the function is the vertical extent. Here, the values of y can be anything that is -2 or more:

  range: -2 ≤ y

The domain of a the function is the horizontal extent. The domain of <em>any</em> polynomial function is ...

  domain: All reals

8 0
3 years ago
If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei
MAXImum [283]

Answer:

There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.

Step-by-step explanation:

Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.

 The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is {11 \choose 3} = 165 . As a result, we have 165 ways to distribute the blackboards.

If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is {7 \choose 3} = 35. Thus, there are only 35 ways to distribute the blackboards in this case.

4 0
3 years ago
What most accurately describes the effects of tobacco use on the body?
Ilia_Sergeevich [38]

Answer:

A i believe

Step-by-step explanation:

Although nicotine is addictive, most of the severe health effects of tobacco use comes from other chemicals. Tobacco smoking can lead to lung cancer, chronic bronchitis, and emphysema. It increases the risk of heart disease, which can lead to stroke or heart attack.People who smoke cigarettes are 15 to 30 times more likely to get lung cancer or die from lung cancer than people who do not smoke. Even smoking a few cigarettes a day or smoking occasionally increases the risk of lung cancer.

4 0
3 years ago
Read 2 more answers
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