Jack is standing on the roof of his house in kicked a rubber ball in the air for it to land on the ground for his dog Henry to fetch. The ball is launched into the air from a height of 12 feet at time t=0. The function that models the situation is h(f) = -2t^2 + 10t +12, where T is measured in seconds and H is the height in feet

When will the ball hit the ground

t = 6 seconds

Step-by-step explanation:

h(t) = -2t^2 + 10t +12

We want when h(t) =0

0 = -2t^2 + 10t +12

Divide each side by -2

0/-2 = -2/-2t^2 + 10/-2t +12/-2

0 = t^2 -5t -6

Factor

What two numbers multiply to -6 and add to -5

-6*1 = -6

-6+1 = -5

0 = (t-6) (t+1)

Using the zero product property

t-6 =0    t+1 = 0

t = 6      t= -1

We don't have negative time

t=6 seconds

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

1.3 million hoops i believe