Zhang Lei creates and sells wreaths. On her website, she gives the diameter, in inches, and weight, in pounds, of each wreath. An approximate least-squares regression line was used to predict the weight from a given

diameter.

Weight (pounds)

16

20

24

28

32

36

40

Diameter of wreath (inches)

Interpret the residual for the wreath indicated in the scatterplot above.

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?