Which is grammatically correct? mathematics is very hard, or are? are just seems off to me. can it be used too, or is it 'is'?

Which of the following excerpt from part one of trifles suggest that mrs. hale believes mrs. wright may have had a motive for killing her husband?

Which is the best paraphrase of the passage? a.)it’s always cloudy where the men of winter live. b.)it’s always misty where the men of winter live. c.)it’s always dark where the men of winter live. d.)it’s always sunny where the men of winter live. read the passage from the odyssey - elpenor. by night our ship ran onward toward the ocean's bourne, the realm and region of the men of winter, hidden in mist and cloud. never the flaming eye of helios lights on those men at morning, when he climbs the sky of stars, nor in descending earthward out of heaven; ruinous night being rove over those wretches.

Look at this dictionary entry: realize (ree-uh-lyz) v. to become completely aware of (something) as a fact; understand without a doubt to make (something desired or anticipated) occur to give real, definite or physical form to a plan, dream, or goal to earn (money or a profit) from a deal which sentence uses the word realize as it is described in the fourth definition? a. mike realized the gravity of the situation only when dalia explained it to him. b. only hard work and perseverance can people realize their dreams. c. he felt that his vision was realized when he finished reading the final draft of the narrative. d. fay's glass paintings are expected to realize a handsome profit. e. dan will realize his goal of going to an ivy league school only if he works hard.