If n is a rational number then n2 is always less than n

1 answer:

6 0

That easiliy false. You can prove this by observing that all integers are, in particular, rational numbers. So, for instance, you can think of 4 as $\frac{4}{1}$ , so $4 \in \mathbb{Z}\subset\mathbb{Q}$

And obviously, you have $4^2=16>4$

It is true that the square of every rational number between 0 and 1 is smaller than the number itself.

But since not all rational numbers are between 0 and 1, the general claim is false.

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If f(x) equals zero what is X

amm1812

Answer:

Step-by-step explanation:

4 0

3 years ago

What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?

kifflom [539]

Good night,

<span>Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: </span> $\frac{1289}{100}$

$\frac{12}{144}= \frac{1}{12}$

<span>The above numbers can be expressed as a fraction, then the logical answer is: </span> $\sqrt{12}$

But we will check the answer:

$\sqrt{12}= \sqrt{2^{2}*3 } =2* \sqrt{3} =3.4641016...$

As you can see we can't express that number as a fraction, so that is te correct answer.

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4 years ago

A plane flies 720 miles with the wind in 3 hours. The return trip against the wind takes 4 hours. What is the speed of the wind

Mandarinka [93]

Let p and w represent the speed of the plane and the speed of the wind, respectively.
.. speed = distance/time
.. p +w = 720/3 = 240
.. p -w = 720/4 = 180

Add the two equations to eliminate w.
.. 2p = 420
.. p = 210
.. w = p -180 = 30

The speed of the wind is 30 mph.
The speed of the plane in still air is 210 mph.

4 0

3 years ago

Find the volume of the triangular prism in the picture shown. Round your answer to the

Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = $9\dfrac{2}{3}$ yd