submitted / cast
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submitted
Describes something that has been handed over to someone, submitted, or left at a certain place.
Die abgegebenen Hausaufgaben liegen auf dem Schreibtisch des Lehrers.
The submitted homework assignments are on the teacher's desk.
cast
Refers to a vote that has been cast in an election or ballot.
Jede abgegebene Stimme ist wichtig für das Wahlergebnis.
Every cast vote is important for the election result.
taken / made
Used in sports to describe a shot or pass that has been taken or made.
Der vom Stürmer abgegebene Schuss ging nur knapp am Tor vorbei.
The shot taken by the striker went just barely past the goal.
'Abgegeben' (submitted / cast) is the past participle of the separable verb 'abgeben' (to hand in / to submit / to cast). Here it is used like an adjective before a noun and describes something that has already been handed over.
Alle abgegebenen Arbeiten werden bis Freitag korrigiert.
All submitted papers will be corrected by Friday.
In this meaning, 'abgegeben' (submitted) often appears with things that you submit to a person or institution, for example: abgegebene Dokumente (submitted documents), abgegebene Anträge (submitted applications), or ein abgegebenes Paket (a dropped-off package).
Der Stapel mit den abgegebenen Anträgen ist schon sehr hoch.
The stack of submitted applications is already very high.
In the context of elections and votes, 'abgegeben' (cast) is used almost exclusively with the nouns 'Stimme' (vote) or 'Stimmzettel' (ballot).
Die Zahl der abgegebenen Stimmzettel war niedriger als erwartet.
The number of cast ballots was lower than expected.
In sports journalism, 'abgegeben' (taken / made) describes an action that has been carried out. Typical combinations are 'der abgegebene Schuss' (the shot taken) or 'der abgegebene Pass' (the pass made).
Der erste abgegebene Torschuss der Mannschaft war sofort ein Treffer.
The team's first shot on goal was immediately a hit.
submitted
For an application or document, both words are possible when someone hands it in. „Eingereicht“ emphasizes official submission to the responsible office and sounds more formal and procedural. „Abgegeben“ is more general and also fits when something is simply left at a reception desk or another location.
Der Antrag wurde am Montag am Empfang abgegeben.
The application was handed in at the reception desk on Monday.
Der Antrag wurde am Montag offiziell bei der Behörde eingereicht.
The application was officially submitted to the authorities on Monday.
