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labwork [276]
3 years ago
9

Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16

t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

(d)

Step-by-step explanation:

Given

h(t) = -16t^2 + 96t

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

x = (0,0) and x = (6,0)

These represent the start and end of the ball that is launched.

Hence, (d) is true

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What is 0.8%of $5,700?
EastWind [94]

Answer: 0.8% of 5,700 = <u><em>45.6 </em></u>

Step-by-step explanation:

0.8% × 5,700 =

(0.8 ÷ 100) × 5,700 =

(0.8 × 5,700) ÷ 100 =

4,560 ÷ 100 =

45.6;

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3 years ago
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A new computer can complete a complex biochemistry calculation in 7 hours less than an older-model computer. Working together, t
Alchen [17]
The rate a computer works is 1/time. Working together, you add the rates.
Let new computer be x, old computer be y.
x = y - 7

\frac{1}{x} + \frac{1}{y} = \frac{1}{13} \\  \\ \frac{1}{y-7}+\frac{1}{y} = \frac{1}{13} \\  \\ \frac{2y-7}{y(y-7)} = \frac{1}{13} \\  \\ y(y-7) = 13(2y-7) \\  \\ y^2-33y+91 = 0 \\  \\ y = 29.96 \\  \\ x = y-7 = 29.96-7 = 22.96
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3 years ago
Here goes another question
nlexa [21]

Answer:

y = x - 8

Step-by-step explanation:

In order to solve this, we need to use point-slope form.:

y - y1 = m(x - x1)

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y + 8 = x

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Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​, and a standard deviation given by
kirza4 [7]

Answer: a) The probability is approximately = 0.5793

b) The probability is approximately=0.8810

Step-by-step explanation:

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Standard deviation : \sigma = \text{2.5 in}

a) The formula for z -score :

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

Sample size = 1

For x= 63 in. ,

z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{1}}}=0.2

The p-value = P(z

0.5792597\approx0.5793

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b)  Sample size = 35

For x= 63 ,

z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{35}}}\approx1.18

The p-value = P(z

= 0.8809999\approx0.8810

Thus , the probability is approximately=0.8810.

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3 years ago
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The answer is m=4/5 so the slope of the line is 4/5
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