Answer:
A) 63.36 years.
B) 100.42 years.
Step-by-step explanation:
We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.
A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.
Now let us solve for t using logarithm.
Therefore, it will take 63.36 years the population to be double.
B) Now we will find the number of years it will take the population to be triple of its size.
Now let us solve for t using logarithm.
Therefore, it will take 100.42 years the population to triple of its size.
The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) can be found by simplifying the given algebraic equation,
Hence, the expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.
Learn more about Expression:
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Answer:
Step-by-step explanation:
Are you in Calculus? These are calculus concepts!
To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"
If you know calculus: The 'rate of change' on the interval (a, b) is
f(b) - f(a)
r. of c. = --------------------
b - a
Have you used this formula before?
Because of the 'x^2' term this is NOT a linear function.
If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.
1 and 2 are natural numbers
-7 belongs to set of integers
sqrt 11 is a member of the set of irrational numbers
Answer: 9x-3x and 5x+x
Step-by-step explanation:
1. Brianna's thinking is incorrect because of course, when x is 0, the expression will equal whatever value isn't an x term. To find equivalent expression, you actually need to find which expressions have the same amount of x terms and the same value.
2. Expressions A and C are equivalent.
3. Expression A can be simplified, as you can do 9x - 3x = 6x, so your final expression would be 6x - 4. Expression C can also be simplified with 5x + x = 6x, which can then also be written as 6x - 4. This means both expressions have the same amount of x terms, and the same value, so they are equivalent.
