Abiologist begins working with a sample containing 20,000 bacteria. the population size doubles every 10 days according to the equation , where t represents the number of days. after seven days the biologist begins working with a second sample of 20,000 bacteria. the equation used to represent the population of sample 2 after t days is . which of the following is an equivalent form of the equation for the population of sample 2?

b. x + 1

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the number of the people going.

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the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

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