6. Steven wants to make sugar cookies for his school bake sale using the recipe shown below. The recipe makes 3 dozen cookies, but Steven wants to make 5 1/2 dozen cookies. How much baking powder will he need?
Sugar Cookie Recipe

2 3/4 cups all-purpose flour
1 teaspoon baking soda
1/2teaspoon baking powder
1 cup butter, softened
1 1/2 cups white sugar
1 egg
1 teaspoon vanilla extract

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.

Evaluate the expression for the given value of the variable. ∣-4b-8∣+∣-1-b^2 ∣+2b^3 ; b=-2

Aword processing program requires a 7- digit registration code made up of the digits 1,2,4,5,6,7 and 9 each number has to be used and no number can be used mor than once how many codes are possible