[Hint: Consult the figure. When a person at Q sees the first rays of the Sun, a person at Pis still in the dark. The person at P sees the first rays after Earth has rotated so that P is at the location Q. Now use the fact that at the latitude of Ft. Lauderdale in 24 hours an arc of length 27 (3559) miles is subtended.] 90 miles Pla 3559 miles Rotation of Earth Sun w+E Fort CLauderdale, Q Naples, P

Simplify cach without the use of a calculator. Show steps when possible. logs 125 log, 49 B).

A plane is flying from city D to city B which is 110 miles due north. after flying 55 miles, the pilot must change course and fly 15 degrees west of north to avoid a thunderstorm. If the pilot remains on this course for 27 miles, how far with a plane be from city B. Round your answer to the nearest tenth!!!!!!

Suppose that there are initially 75 bacteria in a colony and after 3 hours, there are 300 bacteria in the colony.Assuming exponential growth, how many bacteria are there after 7 hours? Round to the nearest whole number.