The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negative x squared Baseline comma where x represents time in years. The total profit in year 2 that the invention is in operation is $ 25 comma 000. Find the total profit function Upper P (x ). Round to the nearest thousandth if necessary.

In the triangle abc< angle c is a right angle. find the value of the trig function indicated. find tan a if a =12, b=5 a. 13/12 b. 12/13 c. 5/12 d.12/5

What is the length of the missing leg in this right triangle? 18 mm 24 mm 26 mm 32 mm

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.