<h3>Answer: Check out the screenshots below.</h3>
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Explanations:
Part 1
For the first box, we use the log rule that log(A)+log(B) = log(A*B)
Then in the second box, we'll convert to exponential form. The logs are assumed to be base 10.
The third box then factors and uses the zero product property.
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Part 2
We check each solution generated in part 1.
Plugging x = 5/3 will lead to the same number on each side. Therefore, x = 5/3 is a true solution.
In contrast, plugging x = -2 leads to a false equation. Recall that the domain of y = log(x) is x > 0. This means we cannot replace x with negative numbers. The value x = -2 is extraneous.
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Part 3
There's not much to explain here that isn't already done so on the screenshot below.
The correct equation is P(t) = Po*e^(kt). Please enclose "kt" inside parentheses and use the " ^ " symbol to indicate exponentiation.
"k" is the growth constant, which here is 0.017. "t" is the number of yeasrs. P(7) is the population after 7 years. Po is the initial population, which in this case is 91 million.
The initial value, when t = 0, is 91 million.
After 7 years, the population, P(7), was P(7) = (91 million)*e^(0.017*7). This evaluates to P(7) = (91 million)*(1.070) = 96 million
The property of real numbers that was illustrated in the above example is known as the: D. inverse property.
<h3>What is the Inverse Property of Real Numbers?</h3>
The inverse property of real numbers states that if you add the opposite of a number together with that number, the result would be zero.
For example, if "a" represents a number, the opposite of the number "a" is -a.
Applying the inverse property of real numbers, it states that: a + (-a) = a - a = 0. Both numbers will cancel each other to give zero.
In the same vein, as shown in the image given above:
6 is a number
The opposite of 6 is -6.
Applying the inverse property of real numbers, we have:
6 + (-6) = 0.
In conclusion, we can state that given the expression, 6 + (-6) = 0, the property of real numbers that was illustrated in the above example is known as the: D. inverse property.
Learn more about the inverse property on:
brainly.com/question/17407789
#SPJ1
Okay so 300 meters per minute and he ran 8 minutes..
300x8=2400
He still had 600 left to go...
2400+600=3,000
He had to run three times longer than Eric...
3000/3=1000
Does that make sense?
Answer:
She ran 6.71km in the evening
Step-by-step explanation:
3km 290m = 3.29km
10 - 3.29 = 6.71km
