A piece of paper has an area of 81cm. A strip is cut off that is 1/3 the original area. From that strip is cut off that is 1/3 the area of the first, and so on. Here is a graph and table representing sequence k, where k(n) is the area in square centimeters of the strip of paper after n cuts. A. Is the sequence geometric or arithmetic? Explain how you know
B. Write a recursive rule for the sequence. Be sure to include f(n) and f(n-1) in the rule
C. What type of “n” value do you notice will work for the sequence? Hint: use the graph
D. What type of “n” value do you notice will not work for the sequence? Hint: use the graph

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone. since the volume of a cone is part of the volume of a cylinder with the same base and height, find the volume of a cylinder first. the base of a cylinder is a circle. the area of the base of a cylinder is , where r represents the radius. the volume of a cylinder can be described as slices of the base stacked upon each other. so, the volume of the cylinder can be found by multiplying the area of the circle by the height h of the cylinder. the volume of a cone is of the volume of a cylinder. therefore, the formula for the volume of a cone is 1/3 1/2 1/3πr^2h 1/2πr^2h πr^2h πr^2

Find the number of positive three-digit even integers whose digits are among 9, 8, 7,5, 3, and 1.

Factor the trinomial below. 12x^2 - 32x - 12 a. 4(3x+3)(x-1) b. 4(3x+1)(x-3) c. 4(3x+6)(x-2) d. 4(3x+2)(x-6)