A 0.22-kg gerbil runs in place with a linear speed of 0.40 m/s on an exercise wheel that is shaped like a hoop and has a radius of 9 cm and a mass of 5.5 g. Find the angular momentum of the wheel after the gerbil jumps off the wheel and keeps running with the same speed of 0.40 m/s. Note that the angular momentum of the gerbil can be calculated by mvl, where l is the moment arm, the perpendicular distance from the center of the wheel to the extended line of the gerbil’s velocity vector.

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect