What is the volume of a cylinder? give an informal argument for the formula.
a) v = πr2h; a cylinder has a circle base and top; the middle can be unwrapped to a rectangle.
b) v = πr2h; a cylinder is like a stack of circles, so it's the area of the circles times the height.
c) v = 2πr2 + 2πrh; a cylinder has a circle base and top; the middle can be unwrapped to a rectangle.
d) v = 2πr2 + 2πrh; a cylinder is like a stack of circles, so it's the area of the circles times the height.

Which inequalities can be used to find the solution set of the following inequality? check all that apply. |2x – 5| (2x – 5) (2x + 5) –(2x – 5) –(2x + 5)

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

Factor the polynomial by its greatest common monomial factor.