The acceleration is defined as the ratio between the change in velocity and the time elapsed to perform such a change.
These "changes" are indicated with the capital greek letter delta, 
, and when you write 
you mean the difference between the finial and the inital values of the variable x:
So, the acceleration is defined as
In this case, the initial velocity is 35, the final velocity is 65. Assuming we start the clock at the beginning of the observation, the inital time is 0 and the final time is 5. So, we have
m/s^2
Answer:
Step-by-step explanation:
Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.
The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.
Substituting 114 - 2s for h in the volume formula, we obtain:
V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)
This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:
dV
----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2
ds
Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.
Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in
and the volume is V = s^2(h) = 46,298.25 in^3
41% of students ran in 12 minutes or less.
Using the histogram we see that there were 2+12+11+9=34 students that ran. Out of those, 2+12=14 ran in 12 minutes or less (the first two bars).
14/34 = 0.411 = 41%.
Answer:
the answer for this question is 0.713333333333
Levant will receive about 9 american dollars when he exchanges his pesos.
According to this question, 1 american dollar is worth about 11 pesos. In order to find that, you need to divide 3000/270 which gives you around 11. In order to find out how many dollars he will receive for his pesos, you need to divide 100 by 11 which gives you about 9 dollars.
