F9 1035 then DL 2578 at Detroit
Tampa → Detroit → Austin
Timetable, Detroit time
20:24F9 1035 from Tampa at the gate
20:00DL 2578 to Austin leaves the gate
23 h 36 apart on the timetable, overnight
DL 2578 leaves 23 h 36 after F9 1035 arrives on the timetable: more than half a day, so not a connection we count.