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Ghella [55]
3 years ago
7

A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation t

hat models the path of the ball is given by h=-4.9t^2+18t+10h How high is the ball at 3 seconds?
Group of answer choices

19.9 meters

108.1 meters

10 meters

The ball is no longer in the air at 3 seconds.
Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

Step-by-step explanation:

This is your position equation:

s(t)=-4.9t^2+18t+10

There's a whole lot of information in that equation, but what we are concerned about right now is the height of the ball after t = 3 seconds.  If this is the position of the ball at any time t, we will sub in 3 for t to find out where the ball is at 3 seconds.

s(3)=-4.9(3^2)+18(3)+10

which simplifies to

s(3) = -44.1 + 54 + 10 which is

s(3) = 19.9 meters

That's how high the ball is in the air at 3 seconds.

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Answer:

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Step-by-step explanation:

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x*y=\dfrac{(2x-y)}{(x+y}

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3*2=

\dfrac{2(3)-2}{3+2}\\\\\dfrac{6-2}{5}\\\\\dfrac{4}{5}

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2 years ago
PLEASE ANSWER ASAP
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Answer: 9/29

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3 years ago
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
tia_tia [17]

Answer:

The minimum head breadth that will fit the clientele is 4.4 inches.

The maximum head breadth that will fit the clientele is 7.8 inches.

Step-by-step explanation:

Let <em>X</em> = head breadths of men that is considered for the helmets.

The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 6.1 and standard deviation, <em>σ</em> = 1.

To compute the probability of a normal distribution we first need to convert the raw scores to <em>z</em>-scores using the formula:

z=\frac{x-\mu}{\sigma}

It is provided that the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.3% or largest 4.3%.

Compute the minimum head breadth that will fit the clientele as follows:

P (X < x) = 0.043

⇒ P (Z < z) = 0.043

The value of <em>z</em> for this probability is:

<em>z</em> = -1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\-1.717=\frac{x-6.1}{1}\\x=6.1-(1.717\times 1)\\x=4.383\\x\approx4.4

Thus, the minimum head breadth that will fit the clientele is 4.4 inches.

Compute the maximum head breadth that will fit the clientele as follows:

P (X > x) = 0.043

⇒ P (Z > z) = 0.043

⇒ P (Z < z) = 1 - 0.043

⇒ P (Z < z) = 0.957

The value of <em>z</em> for this probability is:

<em>z</em> = 1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\1.717=\frac{x-6.1}{1}\\x=6.1+(1.717\times 1)\\x=7.817\\x\approx7.8

Thus, the maximum head breadth that will fit the clientele is 7.8 inches.

5 0
3 years ago
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3 years ago
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let the price of pizza and soda( per 2 litre bottle) be x and y

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from 2nd condition

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multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

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x=113.7/10

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22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.

4 0
2 years ago
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