Answer:
in particular, the relationship between height of stack and number of cups yields a non-whole number of cups, corresponding to a height of 95 cm. In this context, that is not possible because we do not allow for parts of cups.
Step-by-step explanation:
Answer:
The slope of the line is 6.
Step-by-step explanation:
Two points on the line are (1,5) and (-1,-7)
y1 - y2 / x1 - x2
-7-5/-1-1 = -12/-2 = 6
Answer:
3.05 ft
Step-by-step explanation:
Answer:
I am pretty sure it is 69 meters per 1 second
Step-by-step explanation:
Because you divide 2070 with 30 and you get 69.
If a box has a square base its volume will be:
V=hb^2 where h is the height...
h=V/b^2 we are told that V=125 so
h=125/b^2 now for the surface area, which consists of the two bases for a total of 2b^2. It will also have four sides with a total area of 4(bh)=4bh so
A=2b^2+4bh, using h found above in this gives us:
A=2b^2+4b(V/b^2)
A=2b^2+4V/b
A=(2b^3+4V)/b, then taking the derivatives we can find the velocity of the area function.
dA/db=(6b^3-2b^3-4V)/b^2
dA/db=(4b^3-4V)/b^2
dA/db=0 when 4b^3-4V=0
b^3=V
b=V^(1/3), since V=125
b=5in, and since h=V/b^2
h=125/25=5in
So the dimensions that will minimize the amount of material used to enclose a volume of 125in^2 is a 5in cube.
h=b=5in
