Find an equation of the largest sphere that passes through the point (−1,1,4) and is such that each of the points(x, y,z) inside the sphere satisfies the equation: x^2 + y^2 + z^2 < 136 + 2(x + 2y + 3z)

Which unit of measure would be the most appropriate to measure the capacity of a bottle of nail polish? a.fluid ounces b.cups c.pints d.quarts e.gallons

Find the equation of a line that is perpendicular to line g that contains (p, q). coordinate plane with line g that passes through the points negative 3 comma 6 and 0 comma 5 3x − y = 3p − q 3x + y = q − 3p x − y = p − q x + y = q − p

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.