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?

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ap8997154 ap8997154 · Answer 1 · 2022-07-05T10:58:12+02:00

A function assigns the values. The absolute magnitude of a star that has a period of 62 days is -6.3328.

A function assigns the value of each element of one set to the other specific element of another set.

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,

Given the absolute magnitude of a star that has a period of 62 days is,

M = − 2.78 (log 62) − 1.35

M = -6.3328

Hence, the absolute magnitude of a star that has a period of 62 days is -6.3328.

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