) Suppose that R = R(t) represents the number of people who know about a rumor t days after it was started. One way that sociologists model the spread of a rumor is the following: the rate at which the number of people who know the rumor changes is proportional to the product of the number of people who know the rumor and the number of people who don’t. Suppose that in a town of 750 people, a rumor is spread and initially 50 people know it. Set up but do not solve an initial value problem that models this situation.

Aline parallel to a triangle's side splits ab into lengths of x - 5 and x + 2. the other side, ac, is split into lengths of x and x + 12. what is the length of ac? a) 12 b) 24 c) 36 d)

James is playing his favorite game at the arcade. after playing the game 33 times, he has 88 tokens remaining. he initially had 2020 tokens, and the game costs the same number of tokens each time. the number tt of tokens james has is a function of gg, the number of games he plays

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.