The graph of the parent function f(x) = x2 is dashed and the graph of the transformed function g(x) = x2 + k is solid. Use the slider to change the value of k. Positive values of k shift the graph . Negative values of k shift the graph .

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Simplify (2^5/3^2)^4 a. 2^20/3^8 b. 2^9/3^8 c. 8^5/12^2 d. 2/3^2

What is the sum of the first 8 terms of the geometric series