6. A Cepheid variable in the Andromeda galaxy has a period of 22 days and a mean apparent magnitude of 19.5. (a) Calculate the distance modulus of the Andromeda galaxy. (b) Given that the Andromeda galaxy is approaching the Milky Way with a velocity of 119 km/s, roughly estimate how long before these two galaxies collide? Provide your answer in years.

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