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.\n-5.95\n-4.60\n3.25\n4.60

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.\n-5.95\n-4.60\n3.25\n4.60

Answer

Explanation:

Step1: Substitute P value

Given $P = 45$, substitute into $M=-2.78(\log P)-1.35$. So $M=-2.78(\log 45)-1.35$.

Step2: Calculate $\log 45$

Using a calculator, $\log 45\approx1.6532$.

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

$-2.78\times1.6532\approx - 4.5969$.

Step4: Calculate M

$M=-4.5969 - 1.35=-5.9469\approx - 5.95$.

Answer:

-5.95