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Nady [450]
3 years ago
7

Rewrite each of the following statements in the form "∀ _____ x, _____."

Mathematics
1 answer:
timama [110]3 years ago
7 0

Answer:

The rewritten statements is as follows:

(a) ∀ dinosaur x, x is extinct.

(b) ∀ real number x, x is positive, negative, or zero.

(c) ∀ irrational number x, x is not an integer.

(d) ∀ logician x, x is not lazy.

(e) ∀ integer x, x^2 \ne 2,147,581,953

(f)  ∀ real number x, x^2 \ne -1

Step-by-step explanation:

As a general rule, words like "all", "every", "the", etc. are represented with ∀.

However, some sentences may be need to rephrased before such sentence can be rephrased

So, the following replacement will be made:

(a)

All \to ∀

dinosaurs \to x

(b)

Every \to ∀

real\ number \to x

(c)

First, we need to rephrase this sentence to:

<em>Every irrational number is not integer</em>

<em />

So, the replacement is:

Every \to ∀

irrational\ number \to x

(d)

First, we need to rephrase this sentence to:

<em>Every logician is lazy</em>

<em />

So, the replacement is:

Every \to ∀

lazy \to x

(e)

First, we need to rephrase this sentence to:

The integer 2,147,581,953...............

So, the replacement is:

The \to ∀

Integer \to x

(f)  

Replace:

The \to ∀

-1 \to x^2

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timofeeve [1]
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3 years ago
A piece of copper with a volume of 8.25 cm³ has a mass of 73.92 g. A piece of iron with a volume of 5 cm³ and has a mass of 39.3
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4 0
3 years ago
Please explain how to solve this (<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7Ba%5E5%20b%5E3%7D%20" id="TexFormula1" ti
olchik [2.2K]
2 is the base and (\sqrt[4][a^5 b^3]) is the exponent.

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(a\sqrt[4][a* b^3])

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5 0
2 years ago
Describe all the positive integers that would make [(1/2|4] less than (1/2)7
Zielflug [23.3K]

Answer:

The only positive integers would be anything less than 3. So 1 or 2 would work

Step-by-step explanation:

If something that is already being raised to a power, gets raised to another power, those powers add up. So if it were (\frac{1}{2} ^{2} )^{2}, the exponents would add which would make it (\frac{1}{2}^{4} ).

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5 0
1 year ago
Help pleaseeeeeeeeee
sergij07 [2.7K]

9514 1404 393

Answer:

  47 -6√10

Step-by-step explanation:

As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

  (a -b)² = a² - 2ab + b²

  (√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²

  = 2 - 6√10 + 3²(5)

  = 47 -6√10

__

<em>Check</em>

  √2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals

  (√2-3√5)² ≈ 28.02633

  47 -6√10 ≈ 28.02633

5 0
3 years ago
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