Prime only has two factors one and its self a composite number has more factor than one and its self
exsample: 12 - 1,2,3,4,6,12 = 12 is a composite number
7 - 1,7 =prime number
H(t)=-16t^2+15t+12
(e)
maximum height is reached when h'(t)=-32t+15=0, or tm=15/32 seconds.
maximum height reached = h(tm)=h(15/32)=-16(15/32)^2+15(15/32)+12
=993/64 ft
=15.516 ft.
(f) when Greg reaches water, h(t)=0=-16t^2+15t+12
Solve for t using quadratic formula,
t=[-15+/- sqrt(15^2+4*12*16)]/(2*-16)
=-0.516s or 1.4535s.
Reject negative root so
Greg reaches water at t=1.4535 seconds.
Lawn Sprinkler Time = (Hose Time * Combined Time) / (Hose Time - Combined Time)
Lawn Sprinkler Time = (8 * 5) / (8 -5)
Lawn Sprinkler Time = 40 / 3
Lawn Sprinkler Time = 13.33 minutes
********************************************
Double-Check
Total Time = (Time 1 * Time 2) / (Time 1 + Time 2)
Total Time = (8 * 13.33) / (8 + 13.33)
Total Time = 5 minutes
It is correct!!