Caden owns a popular retail website. the initial number of transactions that took place in the first hour of monday was 10, and the number of transactions doubled every hour after the first hour. which statement best describes the initial number of transactions in this situation?

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.

Carly stated, “all pairs of rectangles are dilations.” which pair of rectangles would prove that carly’s statement is incorrect?

Thomas works for a company that occupies a large campus every workday he orders a cup of coffee on campus and the $1.50 cost is automatically deducted from his paycheck. if thomas visits the coffee shop 13 times what will the net change in his paycheck be