Allie made the line plot below to show the lengths of strings she cut for her art project. What is the difference in length between the length of string she used most often and the length of string she used least often? Line plot named as ALTDCLength of StringsALTDC shows a number line from 12 to thirteen and one-fourth. The number line is divided into 5 equal parts. 2 dots on twelve and one-fourth, 7 dots on twelve and half, 5 dots on twelve and three-fourths, 5 dots on 13 and 4 dots on thirteen and one-fourth is given. A. 1 inch B. 18inch C. 14inch D. 114inches

The number of fish in a lake can be modeled by the exponential regression equation y=14.08 x 2.08^x where x represents the year

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?

`if you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain. ''.