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arlik [135]
3 years ago
14

A ball is thrown into the air with an upward velocity of 20 feet per second. Its height, h, in feet after t seconds is given by

the function h of t equals negative 16t squared plus 20t plus 2 . How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.
Mathematics
1 answer:
musickatia [10]3 years ago
5 0
<span>height of the ball = h(t) = -16t2 + 20t + 2 The maximum value for h(t) will occur when t = -20/2(-16) = 5/8 It will take 5/8 of a second, or 0.625 seconds, for the ball to reach its maximum height. To find the ball's maximum height, plug in 5/8 for t . h( 5/8 ) = -16( 5/8 )2 + 20( 5/8 ) + 2 h( 5/8 ) = -16( 25/64 ) + 50/4 + 2 h( 5/8 ) = -25/4 + 50/4 + 8/4 h( 5/8 ) = 33/4 The maximum height is 33/4 feet, or 8.25 feet.</span>
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Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

7 0
2 years ago
A drawer contains 2 red shirts and 4 blue shirts. A second drawer contains 3 pairs of grey pants and 2 pairs of blue pants. A th
viktelen [127]

Answer:

b . may be

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4 0
3 years ago
Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9 9 + 4m + 2m4 – 6m2 2m4 – 6m2 – 4m + 9 9 – 6m2 + 4m
Alenkasestr [34]

Answer:

- 2m^4 - 6m^2 + 4m  + 9

Step-by-step explanation:

Given

4m - 2m^4 - 6m^2 + 9

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

- 2m^4 - 6m^2 + 4m  + 9

4 0
3 years ago
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Irina-Kira [14]
30% off
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8 0
3 years ago
How Many Close Confidants Do People Have? In a recent study,1 2006 randomly selected US adults (age 18 or older) were asked to g
yaroslaw [1]

Answer:

0.08065

Step-by-step explanation:

Given that in a recent study,1 2006 randomly selected US adults (age 18 or older) were asked to give the number of people in the last six months with whom you discussed matters that are important to you.

If X is random variable then X has mean 2.2 and s = 1.4

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For 99% since sample size is large, t and z distn almost coincide.

Hence we can take 2.58 as critical value

Margin of error at 99% =2.58*0.03126\\=0.08065

7 0
2 years ago
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