The public debt in the U. S. (in billions of dollars) has grown as follows: Year Spending (in billions of dollars)

YEAR Spending in billion

1910 2.65

1920 25.95

1930 16.19

1940 42.97

1950 257.36

1960 290.22

1970 389.16

1980 930.21

1990 3233.31

2000 5674.18

2010 13529.21

a. Give a scatter-plot and residual plot of the data.

b. Based on the graphs in part a, propose a model for the data.

Find the smallest number by which the given number should be divided to make a perfect cube(with steps or the answer will get reported) a.108 b.2187

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

If a flying disk is 139 meters in the air and travels at an average of 13 m/s how long is it in the air