If the moment-generating function of x is given by m(t) = e500t+5000t 2 , find p[27, 060 ≤ (x − 500)2 ≤ 50, 240].

Select all the correct answers.natalie buys a new car. in the first month, the odometer on the car records 800 miles. from past experience, she expects to drive 900 miles per monthselect all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.of(n) = 800n + 100f(n) = 9001 - 100f(n) = 900n + 800(1) = 800; }(n) = f(n - 1) + 900, for n > 2f(1) = 800; 1(n) = f(n − 1) + 100, for n > 2(1) = 900; }(n) = f(n - 1) + 800, for n > 2

What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

Which equation represents a direct linear variationa. y=x2b. y=2/5xc. y=1/xd. y=x+3