Terms for subject American

English	Russian
right off	без задержки (or "right away" Val_Ships)
right off	сразу
right off	без промедления (or "at once" Val_Ships)
right off	сразу же (He had just gotten married when he was shipped right off to war. Val_Ships)
right off the bat	тотчас же (she recognized him right off the bat Val_Ships)
right off the bat	мгновенно (Alex_Odeychuk)
right off the bat	не откладывая в долгий ящик (first thing: The new manager demanded new office furniture right off the bat. Val_Ships)
right off the bat	немедленно (Alex_Odeychuk)
right off the bat	с места в карьер
right off the boat	сразу же
right off the boat	с места в карьер