Which of the following sets represents MUN?

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

7 0

Answer:

<u>Third choice: {3, 4, 6, 7, 9}</u>

Explanation:

<em>M ∪ N</em> means the union of the segments M and N. That is, the complete list of objects that are either in the set M or N.

The circle on the left of diagram shows that the elements inside the set M are 3, 4, 7 and 9.

The circle on the right of the diagram shows that the elements inside the set N are 4, 6 and 7.

The complete list of the numbers in either M or N is 3, 4, 6, 7, and 9 (you must not repeat the elements that belong to both sets but indicate them just once.

So, the set that represents M ∪ N is the third option {3, 4, 6, 7, 9}.

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What is the logarithmic form of the solution to 102t = 9?

Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is $t = \frac{\log(9)}{2}$

<h3>How to rewrite the equation</h3>

The expression is given as:

$10^{2t} = 9$

Take the logarithm of both sides

$\log(10^{2t}) = \log(9)$

Apply the power rule of logarithm

$2t\log(10) = \log(9)$

Divide both sides by log(10)

$2t = \frac{\log(9)}{\log(10)}$

Apply change of base rule

$2t = \log_{10}(9)$

Divide both sides by 2

$t = \frac{\log_{10}(9)}{2}$

Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$

Read more about logarithms at:

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2 years ago

Solve for x.

Daniel [21]

Answer:

$x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}$

Step-by-step explanation:

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