Answer:
cat food a
Step-by-step explanation:
6.5/10 = 0.65 unit price
14/20 = 0.70 unit price
Answer:
Solved using the <u>Exterior angle theorem</u>.
2x-5+x-17 = 128
3x-22 = 128
3x = 150
x = 50
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
Answer:
(31.919,42.881)
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
Probability of an even number
3/6 = 1/2
Probability of one showing up
1/6
Probably of even number on first try and 1 on second try
1/2 * 1/6 = 1/12
