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brilliants [131]

2 years ago

13

Which table shows a proportional relationship?

1 answer:

lord [1]2 years ago

7 0

To figure this out, always divide y by x in each table. All of the values have to be equal or the table isn’t proportional.

In this case, the last choice is proportional.

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Anyone know the answer for this?

Nina [5.8K]

I believe it is A. Hope this helps!!

3 0

3 years ago

If an hour is 45 years how long is a minute

Ainat [17]

Since one hour = 45 years, one minute should be 1/60th of 45 years because 60 minutes = an hour.

45/60 = 3/4

So one minute would be 3/4 of an hour, or 45 minutes.

Hope this helps!

8 0

2 years ago

If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have $S_1=3\times2^{1-1}+2(-1)^1=3-2=1$ , which agrees with the initial value <em>S</em>₁ = 1.

• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume

$S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}$

and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

6 0

2 years ago

Help me plz and thx :)

ikadub [295]

Answer:

I am sure it is false. becuase a dependent variable is something you measure and you have to count the eggs.

4 0

2 years ago

Fill in the blank _+8=+6<br> And chose the property of addition you send

Paha777 [63]

Answer:

-2

Step-by-step explanation:

Just use 6-8 and you will get - 2

Check again with - 2+8 you will get positive 6

4 0

2 years ago