A particle moves along the x-axis such that at any time t its position is given by s(t)=1/2 sin t+cos2t. What is the acceleration of the particle at time t=π/2?

Which value of y will make the inequality y< -1 false?

How many ordered pairs of positive integers satisfy xy=32?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)