20 points to answer

drag the tiles to the boxes to form correct pairs.

the table shows the distances between a star and three celestial objects. use the conversion factors to rewrite the distances in different, but equivalent, units.


celestial objects

object a
object b
object c



distance from the star

0.1877 pc
30.06 au
778.3 million km



conversion factors:

1 au = 1.5 × 108 km
1 light-year = 9.5 × 1012 km
1 parsec = 31 trillion km, or about 3.262 light-years

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

The radius of the earth is two times the radius of the moon. what fraction of the volume of the earth is the volume of the moon?

Officer brimberry wrote 32 tickets for traffic violations last week, but only 4 tickets this week. what is the percent decrease? give your answer to the nearest tenth of a percent.