Answer:
f(4)= 15
Step-by-step explanation:
f (x) =6x-9
= 6(4)-9
=24-9
f(4) = 15
Answer:
x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.
Step-by-step explanation:
Let x be the length of wire that is cut to form a circle within the 5050 wire, so 5050 - x would be the length to form a square.
A circle with perimeter of x would have a radius of x/(2π), and its area would be

A square with perimeter of 5050 - x would have side length of (5050 - x)/4, and its area would be

The total combined area of the square and circles is

To find the maximum and minimum of this, we just take the 1st derivative, and set it to 0


Multiple both sides by 8π and we have



At x = 2221.5:
= 392720 + 500026 = 892746 [/tex]
At x = 0, 
At x = 5050, 
As 892746 < 1593906 < 2029424, x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.
9514 1404 393
Answer:
145.3 square inches
Step-by-step explanation:
The lateral area of the cylinder is given by ...
LA = 2πrh
LA = 2π(2.5 in)(9.25 in) = 46.25π in²
LA ≈ 145.3 in²
About 145.3 square inches of paper is used for the label.
Answer:
60√3
Step-by-step explanation:
All we are doing here is multiplying:
12√75
60√3
Alternatively, we could plug this into a calc and figure out our answer.