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Sagot :
Answer:
600
Step-by-step explanation: [tex]100\times2\times\frac{180}{60}[/tex]
Cross out the common factor
[tex]100\times2\times3[/tex]
Calculate the product or quotient
[tex]200\times3[/tex]
[tex]600\ YOUR\ ANSWER\ which\ can\ also\ be\ written\ as\ 6\times{10}^2\[/tex]
I hope this helps you
:)
If the initial population of the bacteria is 100, then the population of the bacteria after 180 hours will be 800.
What is an exponent?
Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
A colony of 100 bacteria doubles in size every 60 hours.
The exponential relation will be given below.
[tex]\rm P = 100 \times 2^{t/60}[/tex]
Where t is the number of hours
Then the population of the bacteria after 180 hours will be
[tex]\rm P = 100 \times 2^{t/60} \\\\P = 100 \times 2 ^{180/60}\\\\\rm P = 100 \times 2^{3}\\\\\rm P = 100 \times 8\\\\\rm P = 800[/tex]
More about the exponent link is given below.
https://brainly.com/question/5497425
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