1. what is the sum of the two vectors (-1,-4) and (3,5)? (-5,8) (2,1) (0,1) (-3,-20) 2. evaluate the following expression: -1(5,-1) + 2(1,1) (5,-2) (-3,3) (-5,2) (7,1) 3. evaluate the following expression (1,4) -5(1,1) 4. let v=(8,-4) and w=(-4,2). which of the following is true? v * v =40 the x-component of v is 4 v= -2w the y-component of w is 2 5. which of the following vectors are orthogonal to (-1,3)? check all that apply. (1,3) (-2,-3) (3,1) (-6,-2)

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.