Asolid sphere of radius 27 m is positioned at the top of an incline that makes a 27 degree angle with the horizontal. this initial position of the sphere is a vertical distance of 2.3 m above the incline. the acceleration of gravity is 9.8 m/s squared. the moment of inertia of a sphere is 2/5 mr squared. calculate the speed of the sphere when it reaches the bottom of the incline in the case where it rolls whithout slipping. also calculate the speed of the sphere when it reaches the bottom of the incline in the case where it slips frictionlessly without rolling ?

Leslie started last week with $1200 in her checking account. during the week, she wrote the checks below.

Find cot x if sin x cot x csc x = √2

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.