An astronomer observes a nearby Cepheid at a distance of 1000 light-years and a Cepheid in M31. The two Cepheids have the same pulsation period. The nearby Cepheid appears 4 million times brighter than the Cepheid in M31. What is the distance of the Cepheid in M31

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The correct answer is 2 million light-years

Explanation:  Cataloged as M31 in the Messier catalog and NGC 224 in the New General Catalog (from the New General Catalog), the Andromeda galaxy is located in the constellation with the same name and, as already mentioned, at a distance of approximately 2.5 million years -light from Earth.

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