The volume as a function of the location of that vertex is
... v(x, y, z) = x·y·z = x·y·(100-x²-y²)
This function is symmetrical in x and y, so will be a maximum when x=y. That is, you wish to maximize the function
... v(x) = x²(100 -2x²) = 2x²(50-x²)
This is a quadratic in x² that has zeros at x²=0 and x²=50. It will have a maximum halfway between those zeros, at x²=25. That maximum volume is
... v(5) = 2·25·(50-25) = 1250
The maximum volume of the box is 1250 cubic units.
Answer:
1) B. -2 hours per person
2) C. 3.60 per pound
Step-by-step explanation:
1)
We can make a slope triangle connecting the points (4, 12) and (10,0)
We get -12/6, or -2 as our slope & final answer
2)
You can do x/y to find the unit rate for this one, or in this case 18/5 = 3.6
X is 3 so 7(3+4)=49 hope that help
F=EA(e/l)
e/l=EA/F
l=Fe/EA
There are 60 minutes in 1 hour
and 186 divided by 60 = 3 remainder 6
which means you have 3 hours and 6 minutes
that will get you the mixed fraction of
3 6/60 which can be simplified to
3 1/10
