A curve at a racetrack has a radius of 900 m and is banked at an angle of 7.0 degrees. On a rainy day, the coefficient of friction between the cars' tires and the track is 0.70. What is the maximum speed at which a car could go around this curve without slipping?

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.)