Ann made a 33-step staircase using 1818 toothpicks as shown in the figure. how many toothpicks does she need to add to complete a 55-step staircase?

The ratio of wooden bats to metal bats in the baseball coach’s bag is 2 to 1. if there are 20 wooden bats, how many metal bats are in the bag?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Plz ! define the type of sequence below. -2,0,2,4,6 a. both arithmetic and geometric b. arithmetic c. neither arithmetic nor geometric d. geometric