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please answer these questions correctly, clear and concise. Show steps. 2. You observe a Cepheid variable star with a pulsation period of 11 days, located

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please answer these questions correctly, clear and concise. Show steps.

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2. You observe a Cepheid variable star with a pulsation period of 11 days, located in a nearby galaxy. The star's apparent brightness is measured to be 1.6 x 10712 W/mz. Calculate the distance to the host galaxy of the Cepheid variable star. [5 points] 3. Suppose you capture the spectrum of a distant galaxy and measure its redshift. The measurement implies that the galaxy is moving away from the Milky Way at a velocity of 12,000 km/s. Use Hubble's law to determine the distance to the galaxy. [5 points]

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