32. Make Sense and Persevere The prime factorizations of A and B are shown. Find the value of n that needs to be listed as a prime factor of B so that the greatest common factor (GCF) of A and B is 9.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

Alex's monthly take home pay is $2,500. what is the maximum bad debt payment he can maintain without being in credit overload?