Final answer:
The answer is (A) God promised to never again destroy the world with a flood, as He marked this covenant with the appearance of a rainbow after the great deluge.
Step-by-step explanation:
The promise that God made by putting a rainbow in the sky, according to the Hebrew Bible, was to never again destroy the world with a flood. This promise is famously depicted in the story of Noah, where after the deluge, God uses a rainbow as a sign of His covenant with Noah and all living creatures. The correct answer is (A) God promised to never again destroy the world with a flood. This commitment is seen as a covenant of mercy and reassurance to Noah, his family, and all of Earth's inhabitants that such destruction would not occur again. This narrative is a cornerstone in the tradition of biblical tales that illustrate the relationship between God and humanity.