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AURORKA [14]
3 years ago
12

John’s heart beat at a rate of 65 beats a minute when he is awake and 50 beats a minute when he sleeps (8 hours). How many times

does his heartbeat in a 24-hour period?
Mathematics
1 answer:
Anarel [89]3 years ago
8 0
His heart beats 86,400 times within a 24 hour period.
60 minutes in 1 hour, so you would multiply 8 hours by 60 mins, giving you 480 mins. 24 hours- 8 (time he's asleep) will give you 16. 16 * 60 will give you 960 minutes. 480 minutes (when he's asleep) * 50 beats a minute = 24,000. 
960 (when he's awake) * 65 beats a minute = 62,400. add 24,000 and 62,400 = 82,400 beats in 24 hours.
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y = -5x/4 - 8

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Two lines that are perpendicular have slopes that are opposite reciprocals.

Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.

Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):

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Simplify:

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y - 2 = -5x/4 - 10

So the equation in slope-intercept form is:

y = -5x/4 - 8

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Answer: 102,400,000,000,000,000,000

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