With the Hubble Space Telescope, you discover a Cepheid variable star in a nearby galaxy that has a period of 30 days. If nearby Cepheids follow a period-luminosity relationship that says the luminosity of the star is L =335 L * (P/1 day), then what is this Cepheid's luminosity and absolute magnitude? Recall that the Sun's absolute magnitude is M = 5. If the apparent magnitude of the Cepheid is 25, what is this galaxy's distance in Mpc?
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