The new season began after thunderstorms caused a 14-minute delay at the start.
Once the weather cleared, Miley threw the first pitch. It was a called strike to Yasiel Puig, who struck out on three pitches.
Aaron Hill got the first hit of the regular season, an infield single for Arizona off NL Cy Young winner Clayton Kershaw in the first inning.
Adrian Gonzalez drew a leadoff walk in the Dodgers second, moved up on a double by Van Slyke and scored the first run on a groundout by Andre Ethier.