Solve the problem.The material for the bottom of a rectangular box costs $3 per square foot while the material for the sides and top costs $1 per square foot. Find the greatest capacity such a box can have if the total amount available for material is $12.

A. 4 ft3
B. 3 ft3
C. 1 ft3
D. 2 ft3


Answer: D

Mathematics

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A garbage truck must pick up garbage at 4 different dump sites (A, B, C, and D) as shown in the graph below, starting and ending at A. The numbers on the edges represent distances (in miles) between locations. The truck driver wants to minimize the total length of the trip. The repetitive nearest-neighbor tour starting with vertex A is given by:

A. A, C, B, D, A. B. A, B, D, C, A. C. A, B, C, D, A. D. A, D, C, B, A. E. none of these

Mathematics

Solve the problem.An electric company has the following rate schedule for electricity usage in single-family residences:Monthly service chargeĀ $4.93Per kilowatt service charge1st 300 kilowatts$0.11589/kWOver 300 kilowatts$0.13321/kWWhat is the charge for using 300 kilowatts in one month?What is the charge for using 375 kilowatts in one month?Construct a function that gives the monthly charge C for x kilowatts of electricity.

What will be an ideal response?

Mathematics

Write interval notation for the graph.

A. ( -?, p) B. (-?, p] C. (p, ?) D. [p, ?)

Mathematics

Provide an appropriate response.State whether the following situation represents direct variation, inverse variation, or neither, and explain why: A runner's speed in a race and the time that it takes to run the race.

What will be an ideal response?

Mathematics