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omeli [17]
2 years ago
6

(36√6 + 6^5/2 / 108×12)^2=6^n , then find the value of n?

Mathematics
1 answer:
natali 33 [55]2 years ago
7 0

Step-by-step explanation:

<u>Given:</u> [{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ

<u>Asked:</u> Find the value of n = ?

<u>EXPLANATION</u><u>:</u>

Given that:

[{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ

⇛[{(6)² * (6)^(1/2) * (6)^(5/2}/(36 * 3 * 12)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(36 * 36)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(6*6 * 6*6)]² = 6ⁿ

⇛[{6² * 6^(1/2) * 6^(5/2)}/(6² * 6²)]² = 6ⁿ

⇛(6³⁻²)² = 6ⁿ

⇛(6¹)² = 6ⁿ

⇛6² = 6ⁿ

When an exponential has the same base on each side, then the exponents must be equal.

Therefore, n = 2.

<u>Answer</u><u>:</u> The Value of “n” for the given problem is 2.

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Answer:

Volume = 7969 cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box  be A and the height of the box be H.

Area of material required to make the box  is equal to  is A^2 + 4*A*H.

A^2 + 4*A*H = 1900

 Rearranging the above equation, we get -  

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Substituting the given area we get -

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= \frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }

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3 0
2 years ago
Tricia is going to write Patterns A, B, and C using the rule add 15. The first
8_murik_8 [283]

Answer:

The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".

Step-by-step explanation:

In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.

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3 years ago
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Answer:

\boxed{\mathrm{view \: attachment}}

Step-by-step explanation:

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3 years ago
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