ALTITUDE As Anchara drives into the mountains, her car thermometer registers the temperatures (°F) shown in the table at the given altitudes (feet). Altitude (ft) 7500 8200 8600 9200 9700 | 10,400 | 12,000 Temperature (°F) 61 58 56 53 46 ? a. Make a scatter plot and a line of fit, and describe the correlation. Temperature Versus Altitude 65 60 55 Temperature (°F) 50 45 0 7,000 8,000 9,000 10,000 Altitude (ft) b. Use two ordered pairs to write a prediction equation. c. Use your prediction equation to predict the missing value.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"