On the first swing, a pendulum swings through an arc of length 65 cm. On the successive swing, the length of the arc is 85% of the length of the previous swing. Write a rule to model this situation.

A. A(n) = 0.85 · (0.65)n − 1
B. A(n) = 0.85 · (65)n − 1
C. A(n) = 65 · (0.85)n − 1
D. A(n) = 65 · (85)n − 1

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?

Timmy uses 1 1 2 cups of sugar for every 2 gallons of lemonade he makes. how many cups of sugar would timmy use if he makes 13 gallons of lemonade?

Line wx is parallel to line yz. if m