Answer:
What was her farthest distance from her starting point? 200m
Estimate how long it took her to run around the track.76m
Estimate when she was 100 meters from her starting point. 18sec
Estimate how far she was from the starting line after 60 seconds. 75m
Is Priya's time a function of her distance from her starting point
Yes (I think?)
Step-by-step explanation:
6x = 4y - 8
4y = 6x + 8
y = (3/2) x + 2
Answer: Slope 3/2, y intercept 2
Step-by-step explanation:
given
The answer is A 1,525 paperclips
because 114,375 divided by 75 is 1,525
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
