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sergejj [24]
3 years ago
14

the circumference of the great circle of a sphere is 12 pi inches. Which of the following expressions can be used to approximate

the volume of the sphere?

Mathematics
1 answer:
andriy [413]3 years ago
4 0
It would be A because with volume you would have your 12 to the 3rd power then multiply it by pie which is 3.14 then for sphere you would then multiply what ever you got after multiplying 12 to the 3rd power then by 3.14 to the 4/3
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Answer:

C(t)=80t+50, \text{ for }t\leq 8.

Step-by-step explanation:

Let C represent total daily charges in dollars and t represent time in hours.

We have been given that a plumber charges $50 for a service call plus $80 per hour.  

The amount charged for t hours would be 80t.

The total amount charged for t hours would be C(t)=80t+50.

We are also told that plumber spends no longer than 8 hours a day at any one site, this means that time t have a restriction as:

t\leq 8

Therefore, our required cost function would be C(t)=80t+50, \text{ for }t\leq 8.

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3 years ago
In how many ways can 100 identical chairs be distributed to five different classrooms if the two largest rooms together receive
Eva8 [605]

Answer:

There are 67626 ways of distributing the chairs.

Step-by-step explanation:

This is a combinatorial problem of balls and sticks. In order to represent a way of distributing n identical chairs to k classrooms we can align n balls and k-1 sticks. The first classroom will receive as many chairs as the amount of balls before the first stick. The second one will receive as many chairs as the amount of balls between the first and the second stick, the third classroom will receive the amount between the second and third stick and so on (if 2 sticks are one next to the other, then the respective classroom receives 0 chairs).

The total amount of ways to distribute n chairs to k classrooms as a result, is the total amount of ways to put k-1 sticks and n balls in a line. This can be represented by picking k-1 places for the sticks from n+k-1 places available; thus the cardinality will be the combinatorial number of n+k-1 with k-1, {n+k-1 \choose k-1} .

For the 2 largest classrooms we distribute n = 50 chairs. Here k = 2, thus the total amount of ways to distribute them is {50+2-1 \choose 2-1} = 51 .

For the 3 remaining classrooms (k=3) we need to distribute the remaining 50 chairs, here we have {50+3-1 \choose 3-1} = {52 \choose 2} = 1326 ways of making the distribution.

As a result, the total amount of possibilities for the chairs to be distributed is 51*1326 = 67626.

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