Answer:
Dimensions will be
Length = 7.23 cm
Width = 7.23 cm
Height = 9.64 cm
Step-by-step explanation:
A closed box has length = l cm
width of the box = w cm
height of the box = h cm
Volume of the rectangular box = lwh
504 = lwh
Sides which involve length and width and height, cost = 3 cents per cm²
Top and bottom of the box costs = 4 cents per cm²
Cost of the sides 
= 3[2(l + w)h] = 6(l + w)h
= 3[2(l + w)h]
Cost of the top and the bottom 
= 4(2lw) = 8lw
Total cost of the box C = 
+ 8lw
= ![3024[\frac{1}{l}+\frac{1}{w}]](https://tex.z-dn.net/?f=3024%5B%5Cfrac%7B1%7D%7Bl%7D%2B%5Cfrac%7B1%7D%7Bw%7D%5D)
+ 8lw
To minimize the cost of the sides
---------(1)
-------(2)
Now place the value of w from equation (1) to equation (2)
l³ = 378
l = ∛378 = 7.23 cm
From equation (2)
w = 7.23 cm
As lwh = 504 cm³
(7.23)²h = 504
h = 9.64 cm
The last one is the right answer b/c 7 plus 0.30 for each topping, -> t
Answer:
h = -t+20
After 8 hours the candle will be 12 inches
Step-by-step explanation:
We have 2 points (time, inches)
(3,17) and (5,15)
We can find the slope
m = (y2-y1)/(x2-x1)
= (15-17)/(5-3)
= -2/2
= -1
We can use point slope form
y-y1 = m(x-x1)
Replace y with h and x with t
h-17 = -1 (t-3)
Distribute
h-17 = -t+3
Add 17 to each side
h-17+17 = -t+3+17
h = -t+20
-33/8 or -4 1/8
Hope this helps!
Answer:
B) 628.32 cm cubed
Step-by-step explanation:
we know the formula to find the volume of a cylinder is π*r^2*h
where r is the radius and h is the height.
the equation would look like this
π*5^2*8
π*25*8
π*200
628.32 cm
