Determine if the statement is true or false: a. If two matrices are equivalent, then one can be transformed into the other with a sequence of elementary row operations.
b. Different sequences of row operations can lead to different echelon forms for the same matrix.
c. Different sequences of row operations can lead to different reduced echelon forms for the same matrix.
d. If a linear system has four equations and seven variables, then it must have infinitely many solutions.

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.

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.

One hectometer is a) 1/1000 of a meter. b) 1/100 of a meter. c) 10 meters. d) 100 meters. e) 1000 meters.