Alberto gets a fish-tank kit for his birthday. The kit comes with a 15-gallon tank, bags of colored gravel, and water-cleaning drops. He adds water-cleaning drops to the 15 gallons of water in the tank. The directions say to use 1 drop for each gallon of water. After putting in of the total drops needed, Alberto has to stop and answer his phone. How many more drops does Alberto still need to add to the water? Explain how you found your answer.

The slope of a line is –2 and its y-intercept is (0, 3). what is the equation of the line that is parallel to the first line and passes through (2, 2)? a. 2x + y = 6 b. y = –2x + 3 c. y=1/2x +6 d. y=-2x-6

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? −5, one third , one half 5, − one third , one half 5, one third , − one half 5, one third , one half

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.