Sentence 1: yeah i think i think the Suns are

Sentence 2: I believe the Suns are.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: You can only move so much data through the pipe at a time.

Sentence 2: The pipe isn't able to handle any amount of data, it's closed.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: The blue heat haze that surrounds the mountains and gives them their name can best be seen on warm afternoons, when it is possible to see peakofter peak stretching into the distance.

Sentence 2: The mountains give off a blue heat haze on warm afternoons.
Is this second sentence entailed by the first?

Answer:
yes