V (Volume) = s^2 * h = 48 ------> h = 48s^-2
C (Cost) = (4sh)(2) + (2s^2)(1) = 2s^2 + 8sh = 2s^2 + 8s(48s^-2) = 2s^2 + 384s^-1
dC/ds = 4s - 384s^-2 = 0 ------> 4s(1 - 96s^-3) = 0
Since s can't be 0, the only possible solution is:
1 - 96s^-3 = 0
s^3 - 96 = 0
s = cube root(96) = 2 cube root(12) ~ 4.579 cm
s^2 = 4 + 2 cube root(18) = 2[2 + cube root(18)]
h = 48/s^2 = 24/[2 + cube root(18)] ~ 5.194 cm
Answer:
(6, 2)
Step-by-step explanation:
i hope this helps :)
The standard form would be 705,083.
Answer:
x < 21
Step-by-step explanation:
Given
12x < 252 ( divide both sides by 12 )
x < 21
Answer:
Step 1: Identify the values for b and c. In this example, b=6 and c=8.
Step 2: Find two numbers that ADD to b and MULTIPLY to c. This step can take a little bit of trial-and-error. ...
Step 3: Use the numbers you picked to write out the factors and check
Step-by-step explanation:
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