a small sign that something good might happen
маленький знак того, что может произойти что-то хорошее (malenkiy znak togo, chto mozhet proizoiti chto-to horoshee)
"The new treatment offers a ray of hope for patients."
"Новое лечение дает луч надежды пациентам." (Novoe lechenie daet **luch nadezhdy** patsientam.)
to perform one's assigned tasks or responsibilities
to form groups of two
to be the first to report an important piece of news
to stop paying attention and mentally drift away
to speak confidently about something
to fulfill promises and obligations