During training, a hurdler wants to raise the height of the hurdles from the high school standard of 39 inches to the NCAA standard of 42 inches. His best race form last season included a clear over 39-inch hurdle that was modeled by h(t)= -0.025t(t-25), where t is time (in tenths of a second) after his lead leg left the track and h is the height (IN FEET) a) Sketch the graph. Label the axes.

b) If he runs as well as his best race last year, will this hurdler clear the new height? Why or Why not?

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

What is the measure of each of the two angles formed by the bisector of the diagonal of a rhombus if the original angle measures 58 degrees?