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andrezito [222]
2 years ago
11

The chart below shows the distribution of the number of books in a library.

Mathematics
1 answer:
Softa [21]2 years ago
8 0

Answer:

It's C.

Step-by-step explanation:

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The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find
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Answer:

y=-0.215x^2+35

Step by Step:

Let, h=0,  k=35, x=8, y=21

We know that, the general equation of the parabola.

   y-k = a(x-h)^2

\Rightarrow y=a(x-h)^2+k  .........(i)

Substitute the  value of h, k, x, y in equation (i) and find the value of a.

  21=a(8-0)^2+35

\Rightarrow 21=a\times 8^2+35

\Rightarrow 21=64a+35

\Rightarrow 64a=21-35

\Rightarrow 64a=-14

\Rightarrow a=\frac{-14}{65}

\Rightarrow a=-0.215

Hence, the equation of the parabola is:

y=-0.215x^2+35

8 0
3 years ago
A 2-pint bottle of water costs $5.80. What is the price per cup?
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Answer: $2.90/cup

Step-by-step explanation:

1 pint = 2 cups

2 cups = $5.80

--> $5.80/2 = $2.90/cup

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