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Anton [14]
3 years ago
7

Consider the following proposed proof by contradiction that for all positive integers n, 3n > 2.

Mathematics
1 answer:
laila [671]3 years ago
7 0

Answer:

The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.

Step-by-step explanation:

The proof is rigourous and well written, so we discard the second answer.

This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.

A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.

To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."

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The Given equation is , 3 x + x = 440,

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And Sum of their Velocities is i.e Velocity of train A and  Velocity of train B is 440 Km/hour.

3 0
2 years ago
If log(base4)x=2.5 and log(base Y)125=-3/2, find the numerical value of x/y, in simplest form.
Naya [18.7K]
X = (2^2)^(2.5) 
<span>x = 2^(2 * 2.5) </span>
<span>x = 2^5 </span>
<span>x = 32 
</span>y^(-3/2) = 125 
<span>y^(-3) = 125^2 </span>
<span>y^(-3) = (5^3)^2 </span>
<span>y^(-3) = (5^2)^3 </span>
<span>y^(-3) = 25^3 </span>
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<span>x/y => </span>
<span>32 / (1/25) => </span>
<span>32 * 25 => </span>
<span>800 is the simplest form of above
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5 0
2 years ago
Complete the following statement. The conditional probability of B given A can be found by​ _______. a. adding​ P(A) and​ P(B).b
Ksju [112]

Answer: Assuming that event A has occurred

Step-by-step explanation:

7 0
2 years ago
​You need to wrap a present that you will put inside a cylindrical container. You’ll need to know how much will fit in the conta
nirvana33 [79]

Answer:

149.28 sq. inches

137.5 cubic inches.

Step-by-step explanation:

The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.

Now, total surface area of the container = 2\pi r^{2} + 2\pi rh

= \frac{2 \times 22 \times (2.5)^{2} }{7} + \frac{2 \times 22 \times 2.5 \times 7}{7}

= 39.28 + 110  

= 149.28 sq. inches (Answer)

Again the volume of the container will be \pi r^{2}h

= \frac{22 \times (2.5)^{2} \times 7}{7}

= 137.5 cubic inches. (Answer)

6 0
3 years ago
What is the answer to this question?
Nady [450]

The equation for the area of a triangle is ½bh or base time height decided by two. So you plug those numbers in: ½18 x 11 = ½198 = 99. The area of the triangle is 99cm².

I hoped this helped

5 0
2 years ago
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