The volume of a cone is increasing at the rate of 28pi cubic units per second. At the instant when the radius of the cone is 3 units, its volume is 12pi cubic units and the radius is increasing at 1/2 unit per second. a. At the instant when the radius of the cone is 3 units, what is the rate of change of the area of its base? b. At the instant when the radius of the cone is 3 units, what is the rate of change of height? c. At the instant when the radius of the cone is 3 units, what is the instantaneous rate of change of the area of its base with respect to its height?

Which value of c would make he following expression completely factored? 8x+cy

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Common binomial factor of 6x(3x+7)+5(3x+7)