The equation represents height as a function of time.
The bullet was in the air for 75 seconds.
The equation is given as:
![h(t) = -16t^2 + 1200t](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%20%2B%201200t)
The time spent in the air is the time it takes the bullet to land on the ground.
When the bullet is on the ground, the height is:
![h(t) = 0](https://tex.z-dn.net/?f=h%28t%29%20%3D%200)
So, we have:
![h(t) = -16t^2 + 1200t](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%20%2B%201200t)
![-16t^2 + 1200t = 0](https://tex.z-dn.net/?f=-16t%5E2%20%2B%201200t%20%3D%200)
Factor out t
![t(-16t + 1200) = 0](https://tex.z-dn.net/?f=t%28-16t%20%2B%201200%29%20%3D%200)
Split
or ![-16t + 1200 = 0](https://tex.z-dn.net/?f=-16t%20%2B%201200%20%3D%200)
represents when the shot is fired.
So, we solve for t in ![-16t + 1200 = 0](https://tex.z-dn.net/?f=-16t%20%2B%201200%20%3D%200)
Collect like terms
![16t = 1200](https://tex.z-dn.net/?f=16t%20%3D%201200)
Divide both sides by 16
![t = 75](https://tex.z-dn.net/?f=t%20%3D%2075)
Hence, the bullet was in the air for 75 seconds
Read more about height and time at:
brainly.com/question/2261757
The y values are not changing so y = 6 describes the line
Answer:
(w^2 - 4w + 16)
Step-by-step explanation:
Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3. The corresponding factors are (w + 4)(w^2 - 4w + 16).
Therefore,
(w^3 +64)/(4+ w) reduces as follows:
(w^3 +64)/(4+ w) (4 + w)(w^2 - 4w + 16)
--------------------------- = --------------------------------- = (w^2 - 4w + 16)
4 + w 4 + w
The odds of jimmy winning a free lunch is 0.066.
<h3>What is Probability ?</h3>
Probability is the likeliness of an event to happen.
It is given that
A restaurant will select 1 card from a bowl to win a free lunch,
jimmy puts 10 cards in the bowl.
The bowl has a total of 150 cards in it
The odds of jimmy winning a free lunch is given by
= No. of chances / Total Outcomes
= 10/150
= 1/15
= 0.066
Therefore the odds of jimmy winning a free lunch is 0.066.
To know more about Probability
brainly.com/question/11234923
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No one can help you if you dont show us the work my dude. But the was to convert them is say you have 1/4 that is 25% of a whole. Sorry i couldnt help more repost the question with a link and people can help then.