It's the lasts graph it intersects at 0,-3
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
120 * 1.75 = 200
5 times 0 = 0
5 times 2 = 10 carry the 1
5 times 1 = 5 + 1 = 6
7 times 0 = 0
7 times 2 = 14 carry the 1...
7 times 1 = 7 + 1 = 8
1 times 0 = 0
1 times 2 = 2
1 times 1 = 1
add it all together and you get 200.
Answer:
A. the number of possible out comes
Step-by-step explanation:
Probability is the chance of an event/something to happen.
The formula is;
Probability = the number of ways of achieving success/Total number of outcomes
The numerator position will have a value to show the number of ways of achieving success while the denominator will show the number of outcomes
For example the number of possible outcomes when a coin is flipped is 2, a tail or a head. So the probability of getting a head is P(H)= 1/2 where 2 is the number of outcomes
4.567 inches should be the answer
