Lauren is building a swing set on a flat surface . The legs of the swing set are each 86 inches long The distance between the on the ground is 58 inches .The horizontal support bar 28 inches long and parallel to the ground . Enter how far from the top and along the legs Lauren should attach the horizontal support bar. Round to the nearest

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.

(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.)

Once george got to know adam, they found that they really liked each other. this is an example of what factor in friendship