a cepheid star is a type of variable star, which means its brightness is not constant. the relationship…

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 p is 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. -5.95 -4.60 3.25 4.60

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 p is 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. -5.95 -4.60 3.25 4.60

Answer

Explanation:

Step1: Substitute P = 45 into formula

$M=-2.78(\log 45)-1.35$

Step2: Calculate $\log 45$

Using a calculator, $\log 45\approx1.65321251377$

Step3: Calculate $-2.78\times\log 45$

$-2.78\times1.65321251377\approx - 4.59693078828$

Step4: Calculate M

$M\approx - 4.59693078828-1.35=-5.94693078828\approx - 5.95$

Answer:

-5.95