3 years ago

The volume of a rectangular prism is 12x^5-27x^3. What are the dimensions of the prism? Show all work.

Mathematics

1 answer:

Westkost [7]3 years ago

7 0

Answer:

The answers are <em>5 6 and 9</em>

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Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

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Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

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R H S=1

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2.⇒Let the statement is true for, n=k.

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3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

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3 years ago

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My educated guess is A

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3 erasers cost $4.41. Write a proportion that would solve for the cost of 4 erasers.

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