Ahive of bees contains 27 bees when it is first discovered. after 3 days, there are 36 bees. it is determined that the population of bees increases exponentially.
how many bees are will there be after 30 days?

Step-by-step explanation:

Givens

The population growth is modelled by the expression

Where is the population after days, is the initial population, is days and is the constant of proportionality.

Basically, in these kind of problems, we use the given information to find first

Now, with this constant, we find the population of bees after 30 days.

Therefore, after 30 days, there will be around 542 bees in the hive.

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.

step-by-step explanation: