The functions f and g are differentiable for all real numbers. The table above gives values of the functions and their derivatives at selected values of x. TH The function h is given by h(x) = f(g(2x)) + 3. b) Explain why there must be a value o for 0 < a < 1 such that h(q) = 50.

Ateacher asked his students to vote for an animal to be their class pet. five-eighteenths of the students voted for a rabbit, voted for a snake, and voted for a hamster. which statement is true? more students voted for a hamster than a snake. more students voted for a snake than a rabbit. more students voted for a rabbit than a hamster. more students voted for a snake than a hamster.

Which graph has figures that can undergo a similarity transformation to justify that they are similar? (obviously not the third one)

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?