Michael and his friend Justine enjoy hiking. Michael started up a mountain before Justine, so he’s closer to the top when Justine starts hiking. Michael is 320 yards from the top and hikes 80 yards per hour. Justine is 390 yards from the top. But she doesn’t know how many yards she hikes per hour. So every half hour, she writes down the yards left to hike in a table, as shown here.

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel