You are trying to lift a car to change a tire using a hydraulic jack. You apply a force of 57 N to the input piston who's diameter is d1. As a result, the output piston, which has a diameter d2, applies a force to the car. The ratio d2/d1 has a value of 7.5. Ignore the height difference between the input piston and output piston and determine the force that the output piston applies to the car.

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)