A certain species has an instantaneous growth rate of 27 percent per year when not affected by crowding. Experimentally, for each 1000 of the species the birth rate drops by 12 per 1000 per year, and the death rate increases by 50 per 1000 per year. Determine the parameters of a logistic equation which models this species. What is the expected nonzero equilibrium population

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

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)

If the value of cos330°is√3/2 then find cos 165°.