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Ira Lisetskai [31]
3 years ago
15

A hotel manager is buying wallpaper for the rooms in his

Mathematics
2 answers:
tia_tia [17]3 years ago
7 0
The answer to that would be 116 because you have to divide
Temka [501]3 years ago
5 0
The manger purchased 116 rolls of wallpaper. (5,568/48)
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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>

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3 years ago
Combine the like terms
Aleksandr-060686 [28]
The answer for:

20)
6x-7+6x³-4x-10x³-4-8x - 2x²= −43−22−6−11

19)
8u+6+7u+(-10) + (-5u) + 8= 10+4
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What is the distance between the points (-2, 5) and (4, -3)?
Soloha48 [4]
See the attachment..........

8 0
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CAN SOMEONE PLEASE HELP ME I'M STUCK. PLEASE<br> I don't understand and know how to solve it.
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Answer:

7/10

Step-by-step explanation:

red + green = 50 + 20 = 70 marbles

Total marbles = 50 + 30 + 20 = 100 marbles

P(red or green) = 70/100

P(red or green) = 7/10

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What is the greatest number of tens in 384
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30 tens

90 is the greatest number of tens

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