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3 years ago

What subset of real numbers does 18.5 inches belong to?

Mathematics

1 answer:

Julli [10]3 years ago

5 0

Answer:

The correct answer is rational.

Step-by-step explanation:

The diameter of the tree belongs to the subset of rational numbers.

Natural numbers are the numbers 1, 2, 3 4, etc. Since 18.5 has a fractional/decimal component, it is not considered a natural number. Whole numbers include all of the natural numbers, as well as 0; therefore, 18.5 is not a whole number either.

Integers include all whole numbers as well as negative numbers, but the integer category still does not encompass numbers with a decimal component. For this reason, 18.5 is not an integer either.

Therefore, the only subset of numbers that 18.5 can fall under is rational numbers. A rational number is a number that can be represented as a fraction. 18.5 can be represented as 37/2 and is thus a rational number.

You can also refer to the infographic given in the question for further clarity on which subsets of numbers are more inclusive than others.

Hope this helps!

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2,3,5,9,17,33 what are the next three terms?

stich3 [128]

The next three terms of sequence are 65, 129 and 257

Solution:

Given sequence is:

2, 3, 5, 9, 17, 33

We have to find the next three terms in sequence

Let us find the logic used in this sequence

$2 + 2^0 = 2 + 1 = 3\\\\3 + 2^1 = 3 + 2 = 5\\\\5 + 2^2 = 5 + 4 = 9\\\\9 + 2^3 = 9 + 8 = 17\\\\17 + 2^4 = 17 + 16 = 33$

Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on

Thus the next three terms are found by:

$33 + 2^5 =33 + 32= 65\\\\65 + 2^6 = 65 + 64 = 129\\\\129 + 2^7 = 129 + 128 = 257$

Thus the next three terms of sequence are 65, 129 and 257

3 0

3 years ago

Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and

defon

The expression that can be used to approximate the expression below is $log_a x = \frac{log_{b}a}{log_{b}x}$

Given the logarithmic function expressed as $log_a x$ , we need the log expression that is equivalent to the given expression.

To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;

$log_a x = \frac{log_{10}a}{log_{10}x}$

This is similar to the option c where the base of "b" was used as $log_a x = \frac{log_{b}a}{log_{b}x}$

Learn more on law of logarithms here: brainly.com/question/11587706

3 0

2 years ago

Rita is hiking along a trail that is 13.7 miles long.So far she has hiked along one-tenth of the trail. How far has Rita hiked.

erastovalidia [21]

Hello there, my fellow human being!

The answer is 1.37 miles.

Hope this helped!
~Ruru

8 0

3 years ago

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What is 0.33333333333 as a fraction?

m_a_m_a [10]

0.333.... as a fraction is 1/3.

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3 years ago

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Help me, I don't understand this problem

Crank

Read some notes on reflection. If it asks to reflect it on the x-axis youre going to reflect it either on the bottom or top plane. If it asks to reflect on y-axis youre going to reflect it on either the left or right plane.

5 0

3 years ago