Answer:
10.06 ft
Step-by-step explanation:
Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.
The equation for the height reached by Maria on the trampoline is given as:
![h=-16t^2+18t+5](https://tex.z-dn.net/?f=h%3D-16t%5E2%2B18t%2B5)
To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).
Her velocity can be found by differentiating her height i.e. dh/dt:
![v = \frac{dh}{dt} = -32t + 18](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%20-32t%20%2B%2018)
Therefore, when v = 0:
![0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs](https://tex.z-dn.net/?f=0%20%3D%20-32t%2B%2018%5C%5C%5C%5C%3D%3E%2032t%3D%2018%5C%5C%5C%5Ct%20%3D%2018%20%2F%2032%20%3D%200.5625%20secs)
It takes her 0.5625 seconds to get to her maximum height.
Therefore, her height at that time (0.5625 seconds) is:
![h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft](https://tex.z-dn.net/?f=h%3D-16%280.5625%29%5E2%2B18%280.5625%29%2B5%5C%5C%5C%5Ch%20%3D%20-16%20%2A%20%280.3164%29%20%2B%2010.125%2B5%5C%5C%5C%5Ch%20%3D%20-5.0624%20%2B%2015.125%5C%5C%5C%5Ch%20%3D%2010.06%20ft)
Therefore, her maximum height is 10.06 ft.
Answer: 1/4
Step-by-step explanation:
The cheesiest recipe would be 1 cup and the least cheesy recipe would be 3/4 cups
1 - 3/4 = 1/4
52/6 in simplest form is 8 2/3
I got the answer 8 2/3 because 6 can go into 52 8 times and there is a remainder the remainder that I got was 4 . I'll put the remainder over the denominator which is 6. So right now I would have 8 4/6 but this fraction can be simplied again by 2 so the final answer is 8 2/3
Answer:
No
Step-by-step explanation:
No, because 8 - 1 ≠ 27 - 8. So, there is no common difference which is needed in order for the sequence to be arithmetic
Answer:
x = 4
Step-by-step explanation:
35/60 = (5x+1+35)/96
3,360 = 60(5x+36)
56 = 5x+36
20 = 5x
x = 4