The population of a hornet nest experienced growth at a 20% monthly rate, compounded continuously. At the end of a 5 month period, the population reached a size of 815 hornets. Assuming that every month has 30 days, how many hornets were in the nest at the beginning of the 5 months according to the exponential growth function?

Select the number of ways in which a line and a circle can intersect

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Which equation shows the quadratic formula used correctly to solve 5x2 + 3x -4 0 for x? cos -3+ v (3) 2-4() 2(5) 3+ |(3)² +4() 205) 3+ (3) 2-4() -3+ v (3)² +4()