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Shalnov [3]
3 years ago
11

Which of the following is the most appropriate unit to describe the rate at which water flows over Niagara Falls?

Mathematics
1 answer:
trapecia [35]3 years ago
3 0
I'd have to say the second option, "<span>Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days"</span>
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Y-17= -37 what is the answer
LenaWriter [7]

Answer:

y = -20

Step-by-step explanation:

Move all terms not containing y to the right side of the equation.


Therefore, that is how you got your answer: y = -20

8 0
3 years ago
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3 years ago
How many centimeters are in 1 mile
kvasek [131]

Answer:

1 mile = 160934 cm

Step-by-step explanation:

1 mile = 1609.34 m

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3 years ago
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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
A. When x = -1, what is the value of y?
pogonyaev

Answer:

i think we need more context to this answer.  I’d love to help no need to retype. You can just message me for help :)

Step-by-step explanation:

7 0
3 years ago
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