"a bicyclist rides 20 km each way to campus. assume that a gps signal detects her location on the bike path every 20 meters (0.02 km), that is, 1000 data points are collected from start to finish. if the bike path is 2 meters wide, and her target is the center of the bike path, and if her standard deviation is 0. meters, roughly how many of the 1000 gps data points will indicate that she is off of the bike path?

Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2 a) maximum value at 38 b) minimum value at 38 c) maximum value at −38 d) minimum value at −38

Name the most appropriate metric unit for each measurement

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function. how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions