Mary hikes 5 km north, then turns and hikes 2 km west, then turns south and hikes 4 km. What is her displacement? Remember to give magnitude (how far) and direction
(what angle and in what direction). Type your answer in the blank.

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