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dexar [7]
3 years ago
12

Can someone please just make some equations for me? I would be so grateful. Look at the graph.

Mathematics
1 answer:
Zolol [24]3 years ago
3 0

3) For Zach, if his heart beats 15 times in 10 seconds, his heart beats 1.5 times in 1 second. Multiply this by 25 to get the number of times his heart will beat in 25 seconds → 1.5 * 25 = 27.5 times per 25 seconds. 1.5 * 60 = 90 times per minute. 1.5 * 120 = 180 times per two minutes. Do the same for your heart beats. 14 beats per 10 seconds is 1.4 beats per second. 1.4 * 25 = 35 times per 25 seconds. 1.4 * 60 = 84 times a minute. 1.4 * 120 = 168 times per two minutes.

4) Zach's equation would be H = 1.5n and yours would be H = 1.4n

5) Your heat beats just a little bit slower than Zachs. Everyone is different and there are many different things that can affect heart rate. Maybe he walked a little more than you did or maybe he was stressing about something which made his heart beat a little faster.

I hope this helps you!

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Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: a_n=a_1+(n-1)d

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n

So, nth term is: a_n=8+2n

In the options below, the only correct answer is option D. so, we can write nth term as: d(n) = 8 + 2n\: for\: n > 1

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is \mathbf{d(n)=8+2n\:for\:n>1}

Option D is correct option

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