There are 4 calories in a gram of carbohydrates, 4 calories in a gram of protein, and 9 calories in a gram of
fat. What is an equation that relates the number of
calories, n, with the number of grams of carbohydrates,
c, the number of grams of protein, and the number of
grams of fat, ?

(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.)

Have you ever been in the middle of telling a story and had to use hand gestures or even a drawing to make your point? in algebra, if we want to illustrate or visualize a key feature of a function, sometimes we have to write the function in a different form—such as a table, graph, or equation—to determine the specific key feature we’re looking for. think about interactions with others and situations you’ve come across in your own life. how have you had to adjust or change the way you represented something based on either the concept you were trying to describe or the person you were interacting with? explain how the complexity or layout of the concept required you to change your style or presentation, or how the person’s unique learning style affected the way you presented the information.

Triangle abc is a right triangle. find the measure of side b. round to the nearest hundredth. a) 6.13 cm b) 6.71 cm c) 9.53 cm d) 10.54 cm e) 12.45 cm