A bacterial culture starts with 820 bacteria and grows at a rate proportional to its size. After 4 hours there will be 3280 bacteria.
1)Express the population, P(t) after t hours as a function of t.
Round your answer to 3 decimal places as needed
2)Using your equation from above, what will the population be after 7 hours?
Round your answer to 3 decimal places as needed
3)Using your equation from above, after how many hours will the population reach 2750 bacteria ?
Round your answer to 3 decimal places as needed

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.

Awater holding tank measures 105 m long, 50 m wide, and 8 m deep. traces of mercury have been found in the tank, with a concen- tration of 60 mg/l. what is the total mass of mercury in the tank? answer in units of kg.

In which direction does the left side of the graph of this function point? f(x) = 3x3 - x2 + 4x - 2