A 0.2-kg bullet is fired into a 1.8-kg pendulum bob as shown in the diagram to the right. The bullet gets stuck inside the pendulum bob after striking it with an unknown initial horizontal velocity. If the pendulum bob is observed to be moving at 10 m/s immediately after the collision, what was the speed of the bullet just before it collided with the pendulum bob? h = ? Vi = ? 100 m/s 90 m/s 75 m/s 50 m/s​

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