Answer
It is (7,9) (5,9) and (6,8)
Step-by-step explanation:
The answer is A.
120/15 = 8 envelopes per minute.
Answer with Step-by-step explanation:
We are given that
Height of ball after t seconds is given by
![s(t)=-4t^2+20t+2](https://tex.z-dn.net/?f=s%28t%29%3D-4t%5E2%2B20t%2B2)
a.Substitute the value of t=1
![s(1)=-4(1)+20(1)+2=-4+20+2=18 ft](https://tex.z-dn.net/?f=s%281%29%3D-4%281%29%2B20%281%29%2B2%3D-4%2B20%2B2%3D18%20ft)
b.Differentiate w.r.t x
![s'(t)=-8t+20](https://tex.z-dn.net/?f=s%27%28t%29%3D-8t%2B20)
![s'(t)=0](https://tex.z-dn.net/?f=s%27%28t%29%3D0)
![-8t+20=0](https://tex.z-dn.net/?f=-8t%2B20%3D0)
![8t=20](https://tex.z-dn.net/?f=8t%3D20)
![t=\frac{20}{8}=2.5](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B20%7D%7B8%7D%3D2.5)
Again differentiate w.r.t t
![s''(t)=-8](https://tex.z-dn.net/?f=s%27%27%28t%29%3D-8%3C0)
Hence, the height is maximum at t=2.5 s
![s(2.5)=-4(2.5)^2+20(2.5)+2=27](https://tex.z-dn.net/?f=s%282.5%29%3D-4%282.5%29%5E2%2B20%282.5%29%2B2%3D27)
Maximum height of the baseball=27 ft
Given:
36 jazz CDs ; 48 country CDs
Store as many CDs as possible on each shelf of a cabinet, putting the same number of CDs without mixing jazz and country Cs on the same shelf.
We need to find the factors of 36 and 48.
1 x 36 ; 2 x 18 ; 3 x 12 ; 6 x 6
1 x 48 ; 2 x 24 ; 3 x 16 ; 4 x 12
There are 3 shelves for jazz CDs. Each shelf contains 12 CDs.
There are 4 shelves for coutnry CDs. Each shelf contains 12 CDs.
She needs a total of 7 shelves with 12 CDs each.