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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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<u>Long Division:</u>

           <u>3x  +  7      </u>

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       -  <u>(6x²  -  3x)</u>   ↓

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                -   (<u>14x  - 7)</u>  

                              4    

<u>Synthetic Division:</u>

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\frac{1}{2}   | 6      11     -3

    <u>| ↓       3     7</u>

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<u>Remainder Theorem:</u>

2x - 1 = 0   ⇒   x = \frac{1}{2}

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f(\frac{1}{2}) = 6(\frac{1}{2})² + 11(\frac{1}{2}) - 3

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