An engineering professor acquires a new computer once every 2 years. the professor can choose from three models: m1, m1, and m3. if the present model is m1, the next model can be m2 with probability .2, or m3 with probability .15. if the present model is m2, the probabilities of switching to m1 and m3 are .6 and .25, respectively. and, if the present model is m3, then the probabilities of purchasing m1 and m2 are .5 and .1, respectively. represent the situation as a markov chain.

Factor k2 - 17k + 16. a.(k - 2)(k - 8) b.(k - 1)(k + 16) c.(k - 1)(k - 16)

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

Bobs burgers bam has a special deal of 4 hamburgers for $6. at that rate, how much should it cost to buy 3 hamburgers?