The change in the size of businesses in a city from one year to the next could be described by a Markov chain. The businesses are classified into three categories based on​ size: small (2-10 employees), medium (11-43) and large (44+). The transition matrix for a​ 1-year period is given below. If these trends​ continue, what percent of the business will be​ small, medium, or large in the long​ run? small medium large
small 0.9203 0.0794 0.0003
medium 0.0459 0.8957 0.0584
large 0.0004 0.0308 0.9688

a. The percentage of small businesses is:
b. The percentage of medium businesses is:
c. The percentage of large businesses is:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.