First, 27 = 3³, so 27¹⁵ = (3³)¹⁵ = 3⁴⁵.
So we have
27¹⁵ ≡ 3⁴⁵ (mod 33)
and
3 ≡ 3 (mod 33)
3² ≡ 9 (mod 33)
3³ ≡ 27 (mod 33)
3⁴ ≡ 81 ≡ 15 (mod 33)
3⁵ ≡ 3 • 15 ≡ 45 ≡ 12 (mod 33)
From here, the cycle continues:
3⁶ ≡ 3 • 12 ≡ 36 ≡ 3 (mod 33)
3⁷ ≡ 3 • 3 ≡ 9 (mod 33)
and so on.
This is to say that, for each power of 3, where the power is a multiple of 5, the remainder will always be 12, i.e. for any positive integer <em>k</em>,
Answer:
X = 3
Step-by-step explanation:
42 = 6x + 7x + 3
42 = 13x + 3 (simplify)
-3 -3 (subtract 3)
39 = 13x
/13 /13 (divide by 13)
3 = x
Hope this helps!! Can I please have brainliest!!
Question (a):
For this case we have the following function:
We must find the rate of change in the number of Internet users.
For this, we use the following equation:
- <em>For </em><em> we have:
</em>
- <em>For</em> <em>we have:
</em>
Substituting values we have:
Answer:
he rate of change in the number of Internet users in Mexico between 2004 and 2008 is:
Question (b):
- <em>For the year 2004 we have:
</em>
- <em>For the year 2008 we have:
</em>
Therefore, the percentage change is:
Substituting values:
Answer:
the percentage change in the number of Internet users in Mexico between 2004 and 2008 is:
Question (c):
For this case we have that the total population in Mexico for 2008, is given by:
109,955,400
The number of internet users for 2008 is:
15,030,000
Therefore, the percentage of the population that uses the internet in Mexico for 2008 is given by:
Substituting values we have:
Answer:
The Mexican population used the Internet in 2008 is:
What do you need help on??
Answer:
.................
Step-by-step explanation:
hmmm
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