For the sequence given recursively by ak = 2ak-1 - 3 for k > 2, where a1 = 4, someone has guessed a closed form and used the predicate r(n) for the statement "an = 2^n-1 +3." an = 23. oro s (a) are r(1), r(2), r(3), and r(4) true?

The minimum wage in washington has been increasing over the last ten years. years 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 washington state minimum wage $6.50 $6.72 $6.90 $7.01 $7.16 $7.35 $7.63 $7.93 $8.07 $8.55 $8.55 a) find the linear regression equation for the minimum wage in washington using this data ( x  0 in 2000). round to the thousandths. b) what is the slope? specifically, what does the slope represent in the real world context? c) what is the y-intercept? specifically, what does the y-intercept represent in the real world context? d) write your equation as a function of x. e) if you do not earn a college degree and you are earning minimum wage in 2020, what do you predict you will be earning per hour with the linear regression equation? f) if the trend continues, when will the minimum wage be $15 an hour? 3. why are your answers to #1d and #2a above different? which do you think is more accurate (#1 or #2) and why

Segment xz is bisected by point y. if xy = 12x, and the measure of xz = 18x – 6, solve for x

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?