Acrate of apples weighing 71.4 n sits at rest on a ramp that runs from the ground to the bed of a truck. the ramp is inclined at 20.0° to the ground. what is the interaction partner of normal force?
1. if the interaction partner is acting above the surface of the ramp, enter a positive value.
2. if the interaction partner is acting below the surface of the ramp, enter a negative value.

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