Does God Hear The Prayers of Unbelievers?

Joe and Jimmy sit down to have a casual, but biblical, chat about whether or not God answers the prayers of unbelievers. He certainly "hears" every prayer, but who has the ear of God? And what would it mean if God did answer the prayer of the unregenerate? And what about those passages that seem to say God doesn't always hear the prayers of his own people? Plus, Jimmy breaks the news to Joe: Redeemer is not a megachurch.