The scale on a map shows that 5 centimeters = 2 kilometers.

part a
what number of centimeters on the map represents an actual distance of 5 kilometers?

part b
what is the actual number of kilometers that is represented by 2 centimeters on the map?

The function g(x) is defined as shown. x-1, -2 g(x) = 2x+3, -1 6-x, x23

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Refer to interactive solution 17.45 to review a method by which this problem can be solved. the fundamental frequencies of two air columns are the same. column a is open at both ends, while column b is open at only one end. the length of column a is 0.504 m. what is the length of column b?