Answer: is 10
Step-by-step explanation:input :
Changes made to your input should not affect the solution:
(1): "3.4" was replaced by "(34/10)". 4 more similar replacement(s)
STEP
1
:
17
Simplify ——
5
Equation at the end of step
1
:
89 14 65 17
((——-(——•x))+(——•x))+——
10 10 10 5
STEP
2
:
13
Simplify ——
2
Equation at the end of step
2
:
89 14 13 17
((——-(——•x))+(——•x))+——
10 10 2 5
STEP
3
:
7
Simplify —
5
Answer:
before the 0.32 in the tick is the 0.319
Step-by-step explanation:
Answer:
11.547 ft wide by 5.774 ft high
769.800 ft³ capacity
Step-by-step explanation:
Volume is maximized for a given area by having the area of a pair of opposite sides equal the area of the bottom. That means the overall area of the container is 3 times the area of the bottom. Then the square bottom will have a width of ...
w = √(400/3) ≈ 11.547 . . . feet
The height is half that, so is ...
h = w/2 = 11.547/2 ≈ 5.774 . . . feet
The capacity is then ...
w²h = (11.547 ft)²(5.774 ft) = 769.800 ft³
The container is 11.547 ft wide by 5.774 ft high. It has a capacity of 769.800 cubic feet.
_____
You want to maximize w^2h subject to w^2 + 4wh = 400. Solving the constraint equation for h, we get h = (400 -w^2)/(4w) and the volume we want to maximize can be written as ...
V = w(400-w^2)/4
This will be an extreme when dV/dw = 0, so we want to solve ...
dV/dw = 0 = 100 -(3/4)w^2
w^2 = 400/3
w = √(400/3) . . . . . as above
Answer: 4th answer, rate of change is $8 per guest, and the initial value is $8.
Have a great day :))
Answer:
what do you need help with
Step-by-step explanation:
