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Natasha2012 [34]
3 years ago
8

ITS URGENT! PLEASE HELP!

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

x = -3    b no answer is 1/27000

Step-by-step explanation:

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What are the possible values of remainder r, when a positive integer 'a' is divided by 3​
fredd [130]

Answer:

0, 1, 2

Step-by-step explanation:

Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤ r < b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

According to Euclid's division lemma a 3q+r, where 0≤r≤3 and r is an integer.

Therefore, the values of r can be 0, 1 or 2.

6 0
3 years ago
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
4 years ago
How do you answer (2a)³ ?
s2008m [1.1K]
(2a)^{3}
Can be rewritten as;
2a*2a*2a
=8a^{3}
5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
yarga [219]

Answer:

67.38

Step-by-step explanation:

3 0
4 years ago
Which is bigger millimeters or centimeters?
VARVARA [1.3K]
Centimeter is bigger than millimeter
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3 years ago
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