Agraphing calculator is recommended. a bacteria culture starts with 100 bacteria and doubles in size every half hour. (a) how many bacteria are there after 3 hours? bacteria (b) how many bacteria are there after t hours? y = bacteria

a) 800

b)

Step-by-step explanation:

The exponential growth function is represented by :-

, where A is initial value , b is the multiplicative rate of change and t is the time period.

Given : A bacteria culture starts with 100 bacteria and doubles in size every half hour.

i.e. A = 100 and b=2

Then, the exponential growth function to find the number of bacteris after t hours :_

At x=3

Hence, the there are 800 bacteria after 3 hours.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

step-by-step explanation:

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