A simple pendulum is swinging with period T = 2.62 s and amplitude 8.850. Find the following quantities at the point where the pendulum's kinetic and potential energies are equal: (a) the angle the pendulum makes with the vertical and (b) the speed of the pendulum bob.

Which steps could be part of the process in algebraically solving the system of equations, y+5x=x^2+10 and y=4x-10

(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.)

What is the name of a polygon that has four congruent sides and theses angle measures 60,120,60,120?