AA 4712 then DL 3889 at Detroit
Washington National → Detroit → Omaha
Timetable, Detroit time
16:11AA 4712 from Washington National at the gate
16:00DL 3889 to Omaha leaves the gate
23 h 49 apart on the timetable, overnight
DL 3889 leaves 23 h 49 after AA 4712 arrives on the timetable: more than half a day, so not a connection we count.