An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Calculate the value of 9 2.8 .
Approximate the result to two decimal places.
The approximate value of 9 2.8 is 469.76 .
Explanation
Understanding the Problem We are asked to approximate 9 2.8 using a calculator.
Calculating the Value Using a calculator, we find that 9 2.8 ≈ 469.76323691841816 .
Rounding the Result Rounding the result to two decimal places, we get 469.76 .
Final Answer Therefore, the approximate value of 9 2.8 is 469.76 .
Examples
Exponents are used to model exponential growth and decay in various real-world scenarios. For example, calculating compound interest on an investment, modeling population growth, or determining the decay of radioactive substances all involve exponential calculations. Understanding how to approximate exponential values allows us to make predictions and informed decisions in these areas.
To calculate the number of electrons flowing through a device with a current of 15.0 A over 30 seconds, we first determine the total charge as 450 coulombs. Dividing this charge by the charge of a single electron yields approximately 2.81 x 10^21 electrons. Thus, around 2.81 x 10^21 electrons flow through the device during that time.
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