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goldfiish [28.3K]

1 year ago

12

Heather and her friends want to buy tickets to the Harry Styles concert. Each ticket cost 85$ and parking cost 25$. Write an equ

ation to represent if Heather spends 280$

1 answer:

Mila [183]1 year ago

7 0

answer: 85+85+85+25

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The di

lawyer [7]

Answer:

0.0063 ft / min

Step-by-step explanation:

From the problem statement we have that the variation in volume with respect to time is equal 10, like this:

dV / dt = 10 ft ^ 3 / min

We know that the volume of the cone is given by the equation:

V = (1/3) * Pi * r ^ 2 * h

Now, we are mentioned that the diameter of the base of the cone is approximately three times the altitude, therefore:

2r = 3h, solving for r we have:

r = (3/2) * h, replacing the volume equation:

V = (1/3) * Pi * [(3h / 2) ^ 2] * h, solving we have:

V = (3/4) * Pi * h ^ 3

They ask us to calculate the change in height with respect to time, that is dh / dt

Therefore we derive both sides with respect to time, we have to:

dV / dt = (3/4) * Pi [3 * (h ^ 2) dh / dt] = (9/4) * pi * (h ^ 2) * dh / dt

reorganizing for dh / dt, we have:

dh / dt = [4/9 * pi * (h ^ 2)] * dV / dt

Knowing that h is 15 and dV / dt is 10, we replace these values:

dh / dt = [4/9 * 3.14 * (15 ^ 2)] * 10 = 0.0063 ft / min

0.0063 ft / min would be the change in height with respect to time.

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3 years ago

imagine you live only one mile from work and you decide to walk. If you walk four miles per hour how long will it take you to wa

GenaCL600 [577]

It takes 15 minutes to walk one mile

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3 years ago

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Scatterplot Data y 3 5 7 BO 10 10 Question: 1. Use the data in the table to create a scatterplot 2. Would a linear model be appr

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Answer:

c i think

Step-by-step explanation:

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3 years ago

I needs help pleaeee

Verdich [7]

X=24

First you find the third side of the smaller triangle by using the Pythagorean theorem. You find that is it 100. Then you subtract that from 26 squared. After you get that, you square root the answer to get 24

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3 years ago

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In a little kingdom, the king and the other 65 citizens each have a salary of one coin. The king cannot vote, but he has the pow

Murljashka [212]

Answer:

Step-by-step explanation:

Step 1: The king begins by proposing that 33 citizens have their salaries doubled to 2 coins, at the expense of the remaining 33 citizens (himself included). 33 citizens will vote "yes" (because they get more salary) and 32 will vote no (because they get less), and the voting passes. After the voting, 33 citizens will have 2 coins each, the other 33 people (including the king himself) has 0 coins.

Step 2: Next, he increases the salaries of 17 of the 33 salaried voters (some to 3 and some to 4 coins) while reducing the remaining 16 to no salary at all. 17 will vote yes and 16 will vote no, and the remaining citizens will not vote (their salary goes from 0 to 0 so they don't care). The voting passes. After the voting, 17 citizens will have 3 or 4 coins, the rest (including the king himself) has 0 coins.

Step 3: the king does the same thing again: he increases the salaries of 9 of the 17 salaried voters while reducing the remaining 8 to no salary at all. 9 will vote yes, 8 will vote no, the rest doesn't vote, and the voting passes. After the voting, only 9 citizens will share the 66 coins, the other 57 people (including the king himself) has 0 coins.

Step 4, 5, and 6: In successive turns, the number of salaried voters falls to 5, 3, and 2. At this stage, only 2 citizens have all the total of 66 coins and no one else (including the king himself) has anything.

Step 7: Finally, the king bribes three citizens with 1 coin each to over throw the two with big salary, and he will keep the rest to himself. The vote will be 3 yes, 2 no, and rest doesn't vote. Thus the king finishes with a royal salary of 63 coins.

More generally, if the original number of citizens (king included) is N, the king can achieve a maximum salary of N-3 coins with this method.

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3 years ago