Answer:
2.5 Hours
Step-by-step explanation:
150 is the largest number up there. So if you divide 150 by the number of minutes in a hour (which is 60), you would get 2.5 hours.
Hope this helps!
11 times the sun of a number and 15
11(y+15)
the answer is d
have great day and I hope you make a good grade
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:
![h(t) = -16t^{2} + 72t + 100](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E%7B2%7D%20%2B%2072t%20%2B%20100)
How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.
![h(t) = -16t^{2} + 72t + 100](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E%7B2%7D%20%2B%2072t%20%2B%20100)
![-16t^{2} + 72t + 100 = 0](https://tex.z-dn.net/?f=-16t%5E%7B2%7D%20%2B%2072t%20%2B%20100%20%3D%200)
Multiplying by (-1)
![16t^{2} - 72t - 100 = 0](https://tex.z-dn.net/?f=16t%5E%7B2%7D%20-%2072t%20-%20100%20%3D%200)
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:
![x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Cfrac%7B-b%20%2B%20%5Csqrt%7B%5Cbigtriangleup%7D%7D%7B2%2Aa%7D)
![x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%20%5Cfrac%7B-b%20-%20%5Csqrt%7B%5Cbigtriangleup%7D%7D%7B2%2Aa%7D)
![\bigtriangleup = b^{2} - 4ac](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3D%20b%5E%7B2%7D%20-%204ac)
In this question:
![16t^{2} - 72t - 100 = 0](https://tex.z-dn.net/?f=16t%5E%7B2%7D%20-%2072t%20-%20100%20%3D%200)
So
![a = 16, b = -72, c = -100](https://tex.z-dn.net/?f=a%20%3D%2016%2C%20b%20%3D%20-72%2C%20c%20%3D%20-100)
![\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3D%20%28-72%29%5E%7B2%7D%20-%204%2A16%2A%28-100%29%20%3D%2011584)
![t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61](https://tex.z-dn.net/?f=t_%7B1%7D%20%3D%20%5Cfrac%7B-%28-72%29%20%2B%20%5Csqrt%7B11584%7D%7D%7B2%2A16%7D%20%3D%205.61)
![t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11](https://tex.z-dn.net/?f=t_%7B2%7D%20%3D%20%5Cfrac%7B-%28-72%29%20-%20%5Csqrt%7B11584%7D%7D%7B2%2A16%7D%20%3D%20-1.11)
Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.