Write an inequality that represents the verbal expression. 9 less than a number n is less than 17.
2 answers:
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Answer:
0.2225 gr/mile
Step-by-step explanation:
Let's work out first the amount of CO sent out in 1990.
The population we estimated in 12.5 million people with a total of driven miles per year of about
12.5 million*8,700 = 108,750 million miles.
With an CO emission factor of 0.9 g per mile, we would have a total of CO emitted rounding 0.9*180,750 = 97,875 million grams
Now, we must estimate the population for 2020.
Since we are assuming an exponential growth, the population in year t is given by a function
where C and k are constants to be determined.
We can take 1980 as year 0. This way calculations are lighter. 1990 is year 10 and 2020 is year 20.
So P(0) = 10.3 and C=10.3
So far we have
Given that P(10)=12.5
And the function that models the population growth is
We need P(20)
If the miles driven per person per year remains constant at 8700 mi/yr.person, then we have a total miles driven of
15.17*8,700=131,979 million miles, so the CO emitted would be 0.9*131,979=118,781.1 million grams.
The 30% of the CO sent out in 1990 is 0.3*97,875=29,362.5 million grams.
We must reduce 118,781.1 down to 29,362.5
Hence the new CO emission factor would be
29,362.5/131,979 = 0.2225 gr/mile
The domain of the provide function where the function is defined is x less than the number three.
<h3>What is the domain of the function?</h3>Domain of a function is the set of all the possible input values which are valid for that function.
The function given in the problem is,
The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.
Thus, the function should be greater than zero as,
Change the sign of both side, by changing the inequality,
Thus, the domain of the provide function where the function is defined is x less than the number three.
Learn more about the domain of the function here;