Jacob sees a pattern in fractions with a denominator of 9. He says he knows by looking at the numerator whether the equivalent decimal will be a repeating decimal.
Write always, sometimes, or never in each blank to correctly complete Jacob's pattern.
For fractions of the form, where n is a positive integer:
. If n <9, the decimal equivalent is
repeating.
.
Ifn>9, the decimal equivalent is
repeating.
• If n is a multiple of 9, the decimal equivalent is
repeating.

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.

Which functions shave a maximum and are transformed to the left and down of the parent function ,check all that apply f(x) = x2? p(x) =14 (x+7)2 + 1

The figures below are made out of circles, semicircles, quarter circles, and a square. find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).