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ololo11 [35]
4 years ago
9

Plz help me with these 2 questions and if you can explain how you got the answer.

Mathematics
1 answer:
Oksi-84 [34.3K]4 years ago
8 0
I think the answer for number 4 is a
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QUESTION 1 Name the type of transformation depicted by the picture. reflection rotation translation none of the above
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3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
Find the quotient for 7.868+1.4
Ira Lisetskai [31]

Answer:

9.268

Step-by-step explanation:

7 0
3 years ago
Please I need help with this
Vera_Pavlovna [14]

Step-by-step explanation:

The x are the values that you have been given

6 0
3 years ago
I NEED HELP ASAP!!!!! In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another versio
wolverine [178]

Answer:

What are the answers

Step-by-step explanation:

7 0
3 years ago
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