A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in a one-pound bag of this trail mix? Explain or show your reasoning.

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

Which of the following vectors are orthogonal to (2,1)? check all that apply

1.what effect does replacing x with x−4 have on the graph for the function f(x) ? f(x)=|x−6|+2 the graph is shifted 4 units up. the graph is shifted 4 units down. the graph is shifted 4 units left. the graph is shifted 4 units right. 2.what are the coordinates of the hole in the graph of the function f(x) ? f(x)=x^2+3x−28/x+7 3.which graph represents the function?