The function f is continuous on the closed interval [0,6] and has values that are given in the table below.
x |0|2|4|6 f(x)|4|k|8|12 the trapezoidal approximation for(the integral): 6 s f(x) dx 1 found with 3 subintervals of equal length is 52. what is the value of k?
how do you do this with the formula b-a/(2n) * f(x0) + 2(fx1) + f(xn)?

Which is a graph of a proportional relationship?

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.

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups