The sum of two numbers is twenty-five. One number is five less than the other number. Find the larger number

G(x) 16g(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

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.

What is 100,000 times 1/100,000, using the standard method of multiplication? write the answer as 10 to a power.