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With the Hubble Space Telescope,you Discover a Cepheid Variable Star

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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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The Cepheid's luminosity is L = 335 L⨀ × ...

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