A factory uses 1/2 of a barrel of raisins in each batch of granola bars. Yesterday, the factory uses 1/4 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

Given f(x) = 2x^2- 5x+1, determine the function value f(2). do not f(x) = in your answer

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.