Aprofessor writes 40 discrete mathematics a. true b. false questions. of the statements in these questions, 17 are true. if the questions can be positioned in any order, how many different answer keys are possible?

Part a : solve -vp + 40 < 65 for v part b : solve 7w - 3r = 15 for r show your work .

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?

What is the value of x? enter your answer in the box. (cm)