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

a cepheid star is a type of variable star, which means that 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. use a calculator to solve each problem. round your answers to the nearest hundredth. what is the absolute magnitude of a star that has a period of 62 days?

a cepheid star is a type of variable star, which means that 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. use a calculator to solve each problem. round your answers to the nearest hundredth. what is the absolute magnitude of a star that has a period of 62 days?

Answer

Explanation:

Step1: Substitute P value

Substitute $P = 62$ into $M=-2.78(\log P)-1.35$. So $M=-2.78(\log 62)-1.35$.

Step2: Calculate log value

Using a calculator, $\log 62\approx1.792392$. Then $-2.78\times1.792392=-4.98284$.

Step3: Calculate M value

$M=-4.98284 - 1.35=-6.33284$. Rounding to the nearest hundred - th, $M\approx - 6.33$.

Answer:

$-6.33$