Aspotlight on the ground shines a beam of light to the top of a tree that is 12 m tall. the beam of light makes an angle of 40° with the ground. what is the distance from the spotlight to the base of the tree, rounded to the nearest meter?

If f(x) = 4x – 3 and g(x) = 8x + 2, find each function value a. f[g(3)] b. g[f(5)] c. g{f[g(-4)]}

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.

Will give brainliest immeadeately true or false: the origin woud be included in the solution set for the inequality: y< 2x-5