Answer:
500
Step-by-step explanation:
It's a box with a square base, so let's say the width and length are x and the height is y.
The surface area of the box without the top is:
A = x² + 4xy
300 = x² + 4xy
The volume of the box is:
V = x²y
Solve for y in the first equation and substitute into the second:
y = (300 − x²) / 4x
V = x² (300 − x²) / 4x
V = x (300 − x²) / 4
V = 75x − ¼ x³
To optimize V, find dV/dx and set to 0:
dV/dx = 75 − ¾ x²
0 = 75 − ¾ x²
x = 10
So the volume of the box is:
V = 75x − ¼ x³
V = 500
The maximum volume is 500 cm³.
The answer is less than :)
Answer: A. About 75% of the time, the median number of letters from the samples of first names was greater than or equal to 5. about the same percentage of the time, the median number of letters from the samples of last names was less than or equal to 5
Step-by-step explanation: now i am not sure if this is right but based on the graph I am most likely right so I might be right I might be wrong and I am very sorry if I am wrong
X<2.5
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