From the given information we can write the equation:
-16t^2 +96t + 4 = 112
-16t^2 + 96t + 4 - 112 = 0
-16t^2 + 96t - 108 = 0
simplify, change the signs, divide by -4
4t^2 - 24t + 27 = 0
You can use the qudratic formula but this will factor to
(2t-3)(2t-9) = 0
Two solutions
t = 3/2
t = 1.5 seconds at 112 ft on the way up
and
t = 9/2
t = 4.5 seconds at 112 ft on the way back down
Graphically, (green line is 112 ft)
We can break this complicated looking shape into two more familiar ones, an icosoles triangle and a rectangle. Using the area of a triangle formula (base*height)/ 2, we get (3*6)/2=18/2= 9. Next, we multiply 8 by 16 to solve for the rectangle and get 128. We add 9 and 128 to get 137.
Your answer is 137.
Answer:
slope i think
Step-by-step explanation:
Answer:
a) 1325 frogs b)75.47 hours
Step-by-step explanation:
start = 150 frogs
after 4 hours = 530
1) figure out how many frogs per hour 530/4 = 132.5 frogs per hour
2) 10 hours after initial time * 132.5 frogs = 1325 frogs
3) Time to reach 10000 frogs is => 10000 / 132.5 = 75.47 hours
