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2 years ago

Which of the following statements is false?

Mathematics

2 answers:

Vaselesa [24]2 years ago

6 0

Answer: A

Step-by-step explanation:

A is false. Not all reals numbers are rational numbers. Some real numbers can contain irrational numbers, like $\sqrt{2}$ . This is a real number, but isn't rational since it cannot be represented as a ratio.

Digiron [165]2 years ago

3 0

Answer: A. All real numbers are rational numbers.

Step-by-step explanation:

[✗] A. All real numbers are rational numbers.

➜ False! Real numbers include numbers such as π or $\sqrt{2}$ , which are not rational numbers.

[✓] B. Every integer is a rational number.

➜ True! Rational numbers include all integers.

[✓] C. All natural numbers are integers.

➜ Also true! Integers include all natural numbers.

[✓] D. Every whole number is a real number.

➜ Yes, real numbers include whole numbers. This is true!

<em>The visual attached is by https://byjus.com/</em>

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A trumpet has a length of 140cm. The first valve lowers the root note by two semitones (f1/f0 = 2-2/12) and the second valve low

Alexxandr [17]

Answer:

a. 17.145cm

b. 8.325cm

c. 0.846

d. 2.896

Step-by-step explanation:

It is known that frequency is inversely proportional to length.

Case 1: The player presses only the first valve.

f₁/fo = 2^{-2/12} = lo/l₁

given that lo= 140cm.

l₁ = 2^{2/12}lo = 157.145

change in length:

l₁ - lo = 157.145 - 140 = 17.145cm

Case 2: The player presses only the second valve.

f₂/fo = 2^{-1/12} = lo/l₂

l₂ = 2^{1/12}lo = 148.325cm

l₂ - lo= 148.325-140 = 8.325cm

Case 3: The player presses both the first and second valve.

Change in length is the sum of change in length when they are individually pressed.

l₃ - lo = 17.145+8.325 = 25.47cm

l₃ = 25.47cm+lo = 165.47cm

f₃/fo = 2^{-n/12} = lo/l₃

f₃/fo = 2^{-n/12} = 140/{165.47 = 0.846

2^{-n/12} = 0.846\Rightarrow n/12 = -log(0.846)/log(2) = 0.2413

n = 0.2413*12 = 2.896

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Mars2501 [29]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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