Answer:
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Step-by-step explanation:
Volume of the Cylinder=400 cm³
Volume of a Cylinder=πr²h
Therefore: πr²h=400
Total Surface Area of a Cylinder=2πr²+2πrh
Cost of the materials for the Top and Bottom=0.06 cents per square centimeter
Cost of the materials for the sides=0.03 cents per square centimeter
Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)
C=0.12πr²+0.06πrh
Recall:
Therefore:
The minimum cost occurs when the derivative of the Cost =0.
r=3.17 cm
Recall that:
h=12.67cm
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Answer:
B)8
Step-by-step explanation:
That is the right answer because when y=12, x=-6
12/-6 = -2
This means that x = y/-2
or y = x * -2
-4 * -2 = 8
Hope I helped
Answer:
Step-by-step explanation:
is pretty simple
292,000/100=2,920
The sentence reads:
J equals the value of x such that x is an integer AND x is greater than -1.
Translated to English, we can say J is an integer which is zero or positive, or in other words, J is a non-negative integer.
10X^2 + 15x-34x -51
5x (2x+3)-17(2x+3)
(5x-17) (2x+3)