Annie and Chloe are in two cities which are 186 miles apart and travel toward each other. Annie’s average rate was 32 mph and Chloe’s average rate was 36 mph. If Annie started at 9:00 a. m., and Chloe started at 9:30 a. m., at what time did they meet?

The long jump record, in feet, at a particular school can be modeled by f(x) = 19.6 + 2.5ln(x + 1) where x is the number of years since records began to be kept at the school. what is the record for the long jump 11 years after record started being kept? round your answer to the nearest tenth.

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3