Use your counting principles to determine each of the following.
a) washington state license plates for cars consist of 3 numbers followed by 3 letters. how many license plates are there? do not consider vanity plates or other oddities.
b) some lottery tickets consist of six numbers each ranging from 1 to 40. if repeated numbers are permitted, how many different tickets are there?
c) how many telephone numbers are there in the 509 area code? telephone numbers may not start with the number 0 or 1. they also must not begin with 911 or 555. do not consider other special circumstances

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?