A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a
Cepheid star and its period, or length of its pulse, is given by M = -2.78(log P) - 1.35, where M is the absolute magnitude, or
brightness, of the star, and Pis the number of days required for the star to complete one cycle. What is the absolute magnitude of
a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.