At the beginning of a study, a certain culture of bacteria has a population of 810. The population grows according to a continuous exponential growth model. After 11 days, there are 972 bacteria.

The triangles are similar. what is the value of x? show your work.

The table below shows the height of a ball  x  seconds after being kicked.  what values, rounded to the nearest whole number, complete the quadratic regression equation that models the data? f(x)  =  x2  +  x  +  0based on the regression equation and rounded to the nearest whole number, what is the estimated height after 0.25 seconds?   feet

The train station clock runs too fast and gains 5 minutes every 10 days. how many minutes and seconds will it have gained at the end of 9 days?