A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 70 − 0.15 cos  πt 12 , where t is the time in hours measured from 5:00 a. m. What is the total basal metabolism of this man, 24 R(t) dt, 0 over a 24-hour period?

Consider the following estimates from the early 2010s of shares of income to each group. country poorest 40% next 30% richest 30% bolivia 10 25 65 chile 10 20 70 uruguay 20 30 50 1.) using the 4-point curved line drawing tool, plot the lorenz curve for bolivia. properly label your curve. 2.) using the 4-point curved line drawing tool, plot the lorenz curve for uruguay. properly label your curve.

What is the slope of the line shown below?

The coordinate grid shows a pentagon. the pentagon is translated 3 units to the right and 5 units up to create a new pentagon. what is the rule for the location of the new pentagon?