Flying against the wind, an airplane travels 3920 kilometers in 4 hours. Flying with the wind, the same plane travels 12,780 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?
Rate of the plane in still air

(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

Solve 2^x=32 and rewrite this equation in a logarithmic form

Match each whole number with a rational, exponential expression 3 square root 27^2find the domain and range of the exponential function h(x)=125^x. explain your findings. as x decreases does h increase or decrease? explain. as x increases does h increase or decrease? explain.