The quantity of an element is decaying over time such that the amount of material at any time is given by the function R(t)=4000(0.9)^t+1 write an equivalent function of the form R(t)=ab^t

The longer leg of a 30° 60° 90° triangle is 16 times square root of three how long is a shorter leg

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Given the two similar triangles, how do i find the missing length? if a=4, b=5, and b'=7.5 find a'