Contesta la pregunta con oración completa. (Answer the question with a full sentence.)
2 answers:
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Answer : No, because if its stressed syllable is the antepenultimate, so it's an "esdrújula". Always must carry a written accent.
Doméstica => feminine adjective. Esdrújula
But if its stressed syllable were the penultimate it would be the third person singular of the verb domesticate: él domestica. Then it would be "grave" and it doesn't carry a written accent.
Domestica => verb. Grave.
Hope this helps!