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Hitman42 [59]
3 years ago
14

A bottle holds 24 ounces of water. It has x ounces of water in it.

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

Step-by-step explanation:

A: x is what's already in the bottle so 24-x= the number of ounces needed to fill the bottle.

B: 24-x= 12 how many ounces is x

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1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

7 0
3 years ago
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A square is ____ a quadrilateral<br> always sometimes never
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Answer:

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What is the mean, median, mode, and range of this data set, 2,3,2,4,3,3,3,4,2,3,4,2,4,4,9,3,4,4
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Mean: 3.5

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Step-by-step explanation:

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It is the correct
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Answer:

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Gross annual income is the amount of money made without any taxes or deductions subtracted from the total.  If Brad earns $12.75 per hour and works 40 hours per week, we can first find his weekly income by multiplying the rate by the number of hours per week:

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