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zavuch27 [327]
3 years ago
11

How do I solve this?

Mathematics
1 answer:
Olin [163]3 years ago
6 0
Well if it is 1 inch per 100 feet, then we already know that 600 feet is 6 inches on the map. Now the 4 is where it gets trickier. Since it's dividing it by 100 each time, you take 4 and divide it by 100 which is 0.04. Therefore, your answer is 6.04 inches on the map.
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IgorLugansk [536]
I hope this helps you



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3 years ago
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
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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
Quadrilateral A B C D is shown. Sides A D and B C are parallel. Sides A B and C D are congruent. Angle A is 115 degrees. What is
brilliants [131]

Step-by-step explanation:

Since sides AD and BC are parallel,

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Therefore Angle ADC = 180° - 115° = 65°.

4 0
3 years ago
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<h2>3.253064e+133</h2>
5 0
3 years ago
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