The answer is 320,000,000 check photo for work
The lines shown below are perpendicular. If the green line has a slop of 2/5, what is the slope of the red line?
1 answer:
The slope of the red line that is perpendicular to the green line is: -5/2.
<h3>What are the Slope Values of Perpendicular Lines?</h3>When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.
<h3>What is the Negative Reciprocal of a Number?</h3>If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.
Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.
Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.
Negative reciprocal of 2/5 is -5/2.
Therefore, the slope of the red line is: -5/2.
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Answer:
a) In the year 1998 with 3 days, 2 hours, 44 minutes and 18.1006141 seconds
b) In the year 1998 with 19 days, 18 hours, 5 minutes and 35.10875472 seconds
Step-by-step explanation:
a) To know the time when the population will be 305 million people, we need to isolate the variable t in the equation,
So we isolate t with the property of logarithms that allow us go down the exponent, applying in both sides of the equation
For this subsection the value of P is equal to 305 million people
Now, we can isolate the value of t
So to know the exact date we multiply the number after the point, that is 0.008531776402 for the number of days that have 1 year, equal to 365 days
0.008531776402*365= 3.114098387 days
then the number after the point, that is 0.114098387 will be multiply for the number of hours that have 1 day
0.114098387*24= 2.738361282 hours
then the number after the point, that is 0.738361282 will be multiply for the number of minutes that have 1 hour
0.738361282*60= 44.3016769 minutes
Finally, the number after the point, that is 0.3016769 will be multiply for the number of seconds that have 1 minute
0.3016769*60= 18.1006141 seconds
And we obtain that the time, when the population of the country is 305 million people, is in the year 1998 with 3 days, 2 hours, 44 minutes and 25.152 seconds
b) For calculate the time when the population is 395 million people, we do the same process we did in the subsection a)
Now, we can isolate the value of t
0.05412021527*365= 19.75387857 days
0.75387857 *24= 18.09308577 hours
0.09308577*60= 5.585145912 minutes
0.585145912*60= 35.10875472 seconds
And we obtain that the time, when the population of the country is 395 million people, is in the year 1998 with 19 days, 18 hours, 5 minutes and 35.10875472 seconds