A photographer uses his camera, whose lens has a 50 mm focal length, to focus on an object 3.5 m away. He then wants to take a picture of an object that is 30 cm away. In which direction must the lens move to focus on this second object? How far must the lens move to focus on this second object?

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.)