2. in a barnyard, there is an assortment of chickens and cows. counting heads, one gets 80; counting legs, one gets 184. how many of each are there? note: to receive credit for this problem you need to define the variables, write a system of equations and solve the system to answer the question.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0

Given ab and cb are tangents of p, and m =10°. what is the measure of abp?