Answer:
a) t = 4 secs
b) t = 3 secs
Step-by-step explanation:
h = 64 ft
Initial velocity = 48 ft/s
S = 64 + 48t - 16t^2
a) Set S = 0 and solve for t
0 = 64 + 48t - 16t^2
Divide through by 16
0 = 4 + 3t - t^2
t^2 - 3t - 4 = 0
t^2 - 4t + t - 4 = 0
t(t - 4) + 1(t - 4) = 0
(t + 1) (t - 4) = 0
t + 1 = 0 or t - 4 = 0
t = -1 or t = 4
t = {-1,4}
t = 4 seconds
b) Set S = 64 and solve for t
64 = 64 + 48t - 16t^2
64 - 64 = 48t - 16t^2
0 = 48t - 16t^2
Divide through by 16
0 = 3t - t^2
t^2 - 3t = 0
t(t - 3) = 0
t = 0 or t-3 = 0
t = 0 or t = 3
t = {0,3}
t = 3 secs
Answer:
46.66% chance of red marble
Step-by-step explanation:
Red Marbles / Total Marbles gives you the percent
14 / 30 = 46.66%
Answer:
Step-by-step explanation:
Given
Empty Tank
When filled with water, the height is:
Required
Determine how many more cubic inches needed
First, we calculate the difference between the height of the tank and the height of the water.
The volume of water to full the tank is then calculated as:
The first thing to do is to work out the biggest number that goes into bother 24 and 3. As the only that goes into three- other than 1- is itself, one can assume this is the number we are looking for.
Next, divide bother numbers by 3.
24 / 3 = 8
3 / 3 = 1
You now take 3 out of the brackets, and leave 8 and 1. 24x / 3 = 8x.
3(8x + 1)
2cm equals 20mm. Therefore 5mm is 1/4 of 2cm.
