Compare and contrast: below are two expressions. simplify each and then choose the statement that is true. expression #1 (y^9)(2y^2)^3
expression #2(9y)(2y^3)^2
a) the exponents in expression #1 are greater than the exponents of expression #2
b) the exponents on expression #2 are greater than the exponents of expression #1.
c) the exponents of expression #1 are the same as the exponents of expression #2.
d) the relationship cannot be determined with the given information.

The value √10 and √15 are plotted on the number line

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.

How many $20 bills do you need to have to make $280