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guapka [62]
3 years ago
6

If M is the set of all square of integers that are less than 100 and N is the set of all positive even numbers that are under 30

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

a) M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

   N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b) M ∩ N = {4 , 16 }

M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 , 26 , 28 ,

               36 , 49 , 64 , 81}

a) X = {e , i , g , h , t , y}

   W = {e , n , s , t , v , y}

b) X ∪ W = {e , i , g , h , n , s , t , v , y}

X ∩ W = {e , t , y}

Step-by-step explanation:

* Lets explain how to solve the problem

- We can find a square number by multiply the number by itself

a)

- M is the set of all square integers that are less than 100

∵ The integers from -9 to 9 has square less than 100

∴ M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

- N is the set of all positive even numbers that are under 30

∵ Even number any number divisible by 2

∵ They are positive numbers

∴ They start with 2 because zero is not a positive or negative

∴ N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b)

- M ∩ N means the common numbers between set M and set N

∵ The common elements of M ∩ N are square and even less

   than 30

∴ M ∩ N = {4 , 16 }

- M ∪ N means all the elements in M and N without reputation

∴ M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 ,

  26 , 28 , 36 , 49 , 64 , 81}

a)

- X is the set of all letters of the word eighty

∵ The letters of word eighty are e i g h t y

∴ X = {e , i , g , h , t , y}

- W be the set of all letters of the word seventy

∵ The letters of word seventy are s e v e n t y

∵ We don't repeat any element in the set

∴ W = {e , n , s , t , v , y}

b)

- X ∪ W means all the elements in X and W without reputation

∴ X ∪ W = {e , i , g , h , n , s , t , v , y}

- X ∩ W means the common elements between set X and set W

∵ The common letters between X and W are e , t , y

∴ X ∩ W = {e , t , y}

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6 0
3 years ago
The graph below shows the prices of different numbers of boots at a store: A graph is shown. The values on the x axis are 0, 2,
kobusy [5.1K]

Answer:

b=12.50p

Step-by-step explanation:

Given :

x                 y

0                 0

2                 25

4                 50

6                 75

8                 100

10                125

To Find: Which equation can be used to determine p, the cost of b boots?

Solution :

Using point slope form Find the equation of line of the given coordinates

Let (x_{1} , y_{1})=(0,0)

Let (x_{2} , y_{2})=(2,25)

So, formula : y-y_{1} =\frac{y_{2}- y_{1}}{x_{2}- x_{1}} *(x-x_{1})

y-0 =\frac{25-0}{2-0} *(x-0)

y= 12.50x

Now we are given that cost of b boots is p

Since we are given that x axis is Number of Boots and y in price

So in the equation put x = b and y = p

So, equation : b=12.50p

Hence Option 4 is correct

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3 years ago
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Hello help please
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2 years ago
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What does oppopsite of mean in mathematical terms
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4 is the opposite of -4
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How to multiply 14*25*4 useing friendly numbers
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Im not too sure what friendly numbers are being that I never leraned that but

14*25*4 is 1400

work:

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the multiply 14 by 100 wich is 1400

i hope this helped
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