The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 270°f and a minimum temperature of 230°. once the temperature hits 270°, it takes 20 minutes before it is 270° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 260°. he puts the cake into the oven when it is at 250° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)

1.) 2x + y = 3 2.) x - 2y = -1 if equation 1 is multiplied by 2 and then the equations are added, the result is a.3x = 2 b.3x = 5 c.5x = 5

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Deshawn uses 3/4 of a box of rice to cook dinner the portion he uses weighs 12 ounces right and solve an equation to find the weight of the full box of rice