39. Folding paper. Each time you fold an ordinary sheet of paper in half, you double the thickness.

a. A single sheet of 20-pound bond paper is about a tenth of a millimeter

thick. How would you come up with this estimate? (Hint: Paper often

comes in reams of 500 pages.)

b. Find an exponential formula that gives the thickness of the sheet of paper

in part a after

f

folds in millimeters and in kilometers.

c. What would be the thickness in kilometers if you were physically able to

fold it 50 times? Note: For comparison, the distance from Earth to the Sun

is about

149,600,000

kilometers.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

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.

four boxes of pizza

hope this