Suppose a 6-character password needs to be made using any of the letters A, X,Q, F,R, P and odd numbers between 0-10. How many passwords exist if: a) Any combination of these characters is allowed, and characters can be repeated. b) Repetition is not allowed. c) Alternate characters need to be letters or numbers, and repetition is not allowed.

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)

Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. he immediately rode back home once he realized his friend was unable to play. what was his displacement for the total bike ride trip? what could you use as a reference point ? show the steps to solve this problem.