Beginning in the middle of summer, the average temperature for a certain year in Phoenix could approximately be modeled by the function f(x)=26cos(0.0055πx)+89, where x represents the number of days since the middle of the summer, and f(x) represents the average temperature in degrees Fahrenheit. What was the lowest average temperature in Phoenix that year (approximately)?

a) 63∘F

b) 55∘F

c) 26∘F

d) 89∘F

You are a clerk at convenience store. a customer owes 11.69 for a bag of potatoes chips. she gives you a five dollar bill. how much change should the customer receive?

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Given: klmn is a parallelogram m? n=3m? k, lf ? kn , ld ? nm kf=2 cm, fn=4 cm find: lf, ld