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3 years ago

Is 0 not an element of an empty set?

Mathematics

1 answer:

kirza4 [7]3 years ago

3 0

Answer:

0 is not an element of an empty set.

Step-by-step explanation:

We are asked to determine whether 0 is not an element of an empty set.

We know that an empty set is an unique set having no elements. The cardinality of an empty set is 0.

Cardinality stands for the count of element is an set. An empty set is denoted by symbols ∅ or { }.

The empty set is like an empty container. The container is there, but nothing is in it.

When 0 is an element of a set, then its cardinality would be 1.

Therefore, 0 is not an element of an empty set.

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Darius is putting tiles on the roof of his house. After working for 3 1/3 hours, he has completed 4/5 of the roof. Can Darius pu

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No.

Step-by-step explanation:

It is given that Darius is putting tiles on the roof of his house.

Darius had completed = $\frac{4}{5}$ th of the work

He takes time = $3 \frac{1}{3}$ hours to complete $\frac{4}{5}$ th of the work

The remaining work = $1 -\frac{4}{5}$

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∴ Darius completes $\frac{4}{5}$ th of the work in = $\frac{10}{3}$ hours

So, $\frac{1}{5}$ th of the work in = $\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$ hours

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Therefore total time taken to complete the work $=\frac{10}{3}+\frac{10}{12}$ hours

$=\frac{40+10}{12}$ hours

$=\frac{50}{12}$ hours

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2 years ago

Matt, a 180 pound (82 kg) male, goes to a party and is served beer in a 16-ounce (473 ml) red plastic cup. he has 3 cups of beer

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4 Standard drinks he has consumed in over a two - hour time period.

<h3>What is Unitary Method?</h3>

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

For example: 5 cars have price of $500. what will be the price of 10 cars.

Now, we know

5 cars → $500

1 car → $500/5

1 car → $100

10 cars → 8 x $100

10 cars → $800

The standard drink contains 12 - ounce of beer.

Here, we have given 1 red cup which has 16 - ounce of beer.

He has 3 red cups.

So, total ounce of beer he has consumed in two hour time period:

16 x 3 = 48 ounce of beer.

Now, as we know standard drink contains 12 - ounce of beer.

so, Number of standard drink = 48/12 = 4

Hence, 4 Standard drinks he has consumed in over a two - hour time period.

Learn more about " Unitary Method " from here: brainly.com/question/28276953

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