In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every hour. Write an equation of the form `y=ab^{x}` to describe the population of bacteria after x hours.

At the "no mutants allowed" country farm, every sheep has 4 legs, every chicken has two legs, and all animals have only 1 head. asked to count how many sheep and chicken are in the fields, a farm boy reports back that there are 140 feet and 50 heads. how many sheep and chicken are there? there are sheep and chicken at the farm.

Non-euclidean geometry was discovered when, in seeking cleaner alternatives to the fifth postulate, it was found that the negation could also be true a. true b. false

Which one is the correct answer, and why?