In the study of a population of bacteria, it was identified that the number N of bacteria, t hours after the beginning of the study, is given by the equation N (t) = 20. 3 ^ 1.6t, with the initial population of 20,000 units. Under these conditions, how long has the population of bacteria tripled?

An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. what is the probability you will roll a brown on your next toss of the die? express your answer as a simplified fraction or a decimal rounded to four decimal places.

Which one is true about the hexagons ?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?