Answer:
0.05
Step-by-step explanation:
There are five letters to choose from. Since there is no repetition, you can choose one of 5 for the first letter, one of four for the second letter, etc. The total number of five-letter codes is
5 * 4 * 3 * 2 * 1 = 120
Now we need to find out the number of codes that start with M and end with E.
The first position is occupied by M. There is one single letter that can be placed there. The last position is occupied by E. There is a single letter that goes there. There are 3 letters left.
1 * 3 * 2 * 1 * 1 = 6
There are 6 codes that start with M and end with E
p(code that starts with M and ends with E) = 6/120 = 0.05
The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
Answer:
Step-by-step explanation:
Answer:
b. 225 joules
Step-by-step explanation:
plug in 5 m/s and 12.5 m/s in to v and h.
