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zimovet [89]
2 years ago
13

Mateo is draining a pool at a rate of 1/8 of a gallon every 1/2 hour. If he continues to drain the pool , how much waters will b

e drained in 1 hour?
Mathematics
2 answers:
11Alexandr11 [23.1K]2 years ago
8 0
If he drains 1/8 of a gallon in 1/2, the amount he will drain in one hour is twice as much as 1/8.

Mateo will drain 2/8 (simplified: 1/4) of a gallon in one hour.
masya89 [10]2 years ago
4 0
Just multiply numerator and denominator of the given rate by 2:

2(1/8) gallon        1/4 gallon
-----------------  =  ---------------- = 1/4 gallon per hour
2(1/2) hour)              1 hour
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Since the parabola passes by the center its equation is:

y = ax². But it opens downward, that means the coefficient a is negative.

Then the equation becomes:

y = - ax², with x = 0 as its axis of symmetry.

We are given that the height is 84 ft when the opening downward is 42 ft.
That means to the (height) y, corresponds x =+21 & x=-21 (due to symmetry).
In order to calculate a let's plug y & x with their related values:

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84 = - a(21)²

84 = - a(441) and a = - 84/441 ↔ a = - 4/21

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30 minutes

Step-by-step explanation:

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An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach
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5.8 , which approximately is 6 weeks.

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the first method is the short one since u just have to double the 85 then divide to 1000.

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the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

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     1st      2nd      3rd     4th      5th         6th     week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

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