Answer:
21/10
Step-by-step explanation:
Trust Me
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:
f(1) = 5, f(2) = 8, f(3) = 11
Step-by-step explanation:
Common difference refers to how you get from one value in the sequence to the next.
If f(0) = 2, f(1) = 2 + 3 = 5 etc
The surface area of a cylinder is the sum of the area of the two ends and the lateral area.
.. surface area = 2*(end area) +(lateral area)
.. = 2*(π*r^2) +(2π*r*h)
.. = 2π*r*(r +h)
.. = 2*3.14*(8 in)*(8 in +8 in)
.. = 3.14*256 in^2
.. ≈ 803.8 in^2
The 3rd selection is appropriate.
Answer:9x hope it helps
Step-by-step explanation: