Simplify (3^6 ÷ 3^8) × 3^-5
FAST PL​

0.00045724737

1/2187

Step-by-step explanation:

3^6 = 729

3^8=6561

3^-5=1/3^5 = 1/243

(729 ÷ 6561) * 1/243

1/9*1/243

= 1/2187

Hopefully this is right. If it's wrong please correct me!

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.