In the cambridge encyclopedia of language (cambridge university press,1987), author david crystal presents five sentences that make a reasonable paragraph regardless of their order. the sentences are as follows: mark had told him about the foxes. john looked out the window. could it be a fox? however, nobody had seen one for months. he thought he saw a shape in the bushes. how many different five-sentence paragraphs can be formed if the paragraph begins with "he thought he saw a shape in the bushes" and ends with "john looked out of the window? "

The line containing the midpoints of the legs of right triangle abc where a(-5,5), b(1, 1), and c(3, 4) are the vertices.

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.