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The temperature in Gavin's oven is a sinusoidal function of time. Gavin sets his oven so...

The temperature in Gavin's oven is a sinusoidal function of time. Gavin sets his oven so that it has a maximum temperature of 320°F and a minimum temperature of 260°. Once the temperature hits 320°, it takes 20 minutes before it is 320° again. Gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 310°. He puts the cake into the oven when it is at 290° and rising. How long will Gavin need to leave the cake in the oven? (Round your answer to the nearest minute.)

____ min

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