Jason is pulling a box across the room. He is pulling with a force of 24 newtons and his arm is making a 63 angle with the horizontal, if the box weighs 23 newtons what is the net force on the box in the vertical direction? Treat up as the positive direction, and down as the negative direction.

Matilda and kathryn went on different road trips over spring break.the equation below represents the number of miles matilda drove in x hours.y = 60xthe table below shows the number of miles kathryn drove in x hours.time(in hours)distance(in miles)114228342456who drove at a greater speed? a. matilda drove at a greater speed.b. matilda and kathryn drove at the same speed.c. kathryn drove at a greater speed.d.there is not enough information to determine their speeds

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?

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?