Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
Answer:
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Step-by-step explanation:
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sorry, i can't answer that question
Answer:
360 degrees divided by that order
Answer:
<em>There are a few ways to solve systems of equations. </em>
- <em>There are a few ways to solve systems of equations. substitution</em>
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- <em>There are a few ways to solve systems of equations. substitutionelimination </em><em>Graphically</em>
<em>If you are looking at a multiple choice question use the ordered pair to plug into the answer choices and whichever one balances out will be your answer. To assist you further I would need more information from the problem. </em>
Step-by-step explanation:
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Add up all the values shown:
64+28+52+56 = 200
This result indicates that there are 200 students total.
Of these 200 total people, there are 28 who are attending both colleges. This is the value shown in the overlapping region of the two circles.
Divide the two values (28 and 200) to get...
28/200 = 0.14 = 14%
The probability as a decimal value is 0.14 which is saying there's a 14% chance of picking someone who goes to both colleges.
