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Sergeu [11.5K]
2 years ago
12

If A = {1,20,30..} and B = {4,6} find n(A-B)?​

Mathematics
2 answers:
NARA [144]2 years ago
8 0

<u>Explanation</u><u>:</u><u>-</u>

Given sets are A = { 1,20,30}

B = { 4,6}

Now,

A-B = { 1,20,30} -{ 4,6}

⇛ A-B = { }

Since there are no common elements in both A and B sets

⇛Number of elements in A-B = 0

⇛n(A-B) = 0

Therefore, n(A-B) = 0

<u>ADDITIONAL COMMENT:</u>

<u>Points to know:-</u>

Empty set :-

  • A set having no element is called an empty set or void set or null set .It is denoted by phi or { }
  • The cardinal number of the Null set = 0

Difference of two sets :-

  • A and B are two sets ,The set of elements which belongs to A and does not belong to B is called The difference between the two sets A and B and it is denoted by A-B.

Cardinal number of a set :-

  • The number of all distinct elements in a set is called its Cardinal number .
  • It is denoted by n(A).
boyakko [2]2 years ago
6 0

Answer:

If A = {1,20,30..} and B = {4,6} find n(A-B)?

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MaRussiya [10]

Answer:

29/34

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Step-by-step explanation:

4 0
3 years ago
Please help and thank you
kondaur [170]

Answer:

Step-by-step explanation:

Let's see how well I can explain this. \frac{\pi}{6} is the same as a 30 degree angle which is in quadrant 1. If you picture the unit circle, right in the center of it is the origin. If you draw a straight line from 30 degrees and through the center (the origin), you will automatically "connect" with the reference angle of 30 (this is true for ALL angles on the unit circle). This puts us in quadrant 3. In quadrant 3, x is negative and so is y. So the terminal point of the reference angle for 30 degrees has the same exact values, but both of them are negative (again, because both x and y are negative in quadrant 3). I can't see your choices but the one you want looks like this:

(-\frac{\sqrt{3} }{2},-\frac{1}{2})

3 0
2 years ago
An electronic store prices 3 dozen video games at a total of 1467 if each video game costs the same amount what m is the total c
PilotLPTM [1.2K]

Answer:4 dozens of video games would cost $1956

Step-by-step explanation:

An electronic store prices 3 dozen video games at a total of 1467. A dozen of video games is 12. Therefore, the total number of video games whose cost is 1467 is 12 × 3 = 36

if each video game costs the same amount, then the cost of one video game would be

1467/36 = $40.75

The total number of video games in 4 dozens of video game would be

4 × 12 = 48

Therefore, the total cost of 48 video games would be

48 × 40.75 = $1956

4 0
3 years ago
Evaluate: <br><br>6-(2/3)^2<br><br>A. 17/3<br>B. 52/3<br>C. 49/9<br>D. 50/9​
Komok [63]

Answer:

The correct answer is: "Option [D]".

Step-by-step explanation:

Hi student, let me help you out!

<u>....................................................................................................................................</u>

Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations!  :)

\dag\textsf{Acronym \: PEMDAS}

P=Parentheses,

E=Exponents,

M=Multiplication,

D=Division,

A=Addition,

S=Subtraction.

Now let's start evaluating our expression, which is \mathsf{6-(\cfrac{2}{3})^2}

According to PEMDAS, the operation that we should perform is "E-Exponents".

Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain  \mathsf{6-\cfrac{4}{9}}.

See, we raised both the numerator and the denominator to the power of 2.

Now what we should do is subtract fractions.

Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: \mathrm{\cfrac{6}{1}-\cfrac{4}{9}}. Now let's multiply the denominator and the numerator of the first fraction times 9: \mathrm{\cfrac{54}{9}-\cfrac{4}{9}}.

See, now the fractions have the same denominator. All we should do now is subtract the numerators: \mathrm{\cfrac{50}{9}}.

∴, the answer is Option D.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach \: far. Aim \: high. Dream \: big.}}}}}\bigstar\star

\underline{\rule{300}{5}}

5 0
2 years ago
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Ellie is having a Birthday party and has invited 11 friends. She wants to order pizza for the party. Each pizza is cut into eigh
erik [133]

Answer:

Ellie will need to have 13 slices.

Step-by-step explanation:

3 0
3 years ago
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