In a lab, a scientist is running an experiment on a
sample of radioactive particles. she observes that
each day, half of the current number of particles
disappears. if she wants to have 2 particles of the
original sample left on the 5th day, what is the
minimum number of particles she should start
with?

Write the linear inequality shown in the graph. the gray area represents the shaded region. y> -3y+5 y> 3x-5 y< -3x+5 y< 3x-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.

Tabby sells clothing at a retail store, and she earns a commission of 6.25% on all items she sells. last week she sold a pair of jeans for $32.50, a skirt for $18.95, and 2 blouses for $14.95 each. what was tabby's total commission? a $4.15 b $5.08 c $81.35 d $348.60