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ki77a [65]
3 years ago
8

Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?

Mathematics
1 answer:
beks73 [17]3 years ago
3 0

X' = U - X

= {1,2,3,4,5,6} - {1,4,5}

= {2,3,6}

(ZUX') = {2,3,5} U {2,3,6}

= {2,3,5,6}

(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}

= {2}

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1.7x 10 =17


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3 years ago
Im not good with least to greatest in fractions, Please help me
tiny-mole [99]

Answer:

From least to greatest it is -5/2, -2, then 1.7

Step-by-step explanation:

First by process of elimination, 1.7 is the only positive number, so it is the greatest number compared to the other two.

Now we are left with -2 and -5/2.

We can rewrite -2 as -\frac{2}{1} , as any number by itself itself is the number over 1.

Then we need to find the common denominator for both fractions, meaning they must share the same bottom number.

The 1 in the denominator can be multiplied by 2 to get a denominator of 2 , the same as the denominator for -\frac{5}{2}.

Since the denominator is multiplied by 2, the numerator also has to be multiplied by 2:

-\frac{2}{1} *\frac{2}{2}=-\frac{4}{2}

Now since both fractions share the same denominator, we can compare them by their numerators. 5 is greater than 4, but we must keep in mind that these are negative. The larger the negative number, the smaller the value.

So when comparing -4/2 and -5/2, -5/2 is smaller.

So our final answer from least to greatest is -5/2, -2, then 1.7

8 0
4 years ago
Question
mars1129 [50]

Answer:

x=11

Step-by-step explanation:

  • 2x+7=36
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8 0
3 years ago
Read 2 more answers
Sun Lei bought a laptop computer for $1800.
vekshin1

Subtract to find the amount of tax paid:

1890 - 1800 = 90

Divide the amount of tax by the price of the computer:

90 / 1800 = 0.05

Multiply the decimal by 100:

0.05 x 100 = 5%

The tax rate is 5%

6 0
3 years ago
Work out the formula for the nth term of the<br>quadratic sequence:<br>5, 11, 19, 29​
Sladkaya [172]

Answer:

n squared + 3n + 1

Step-by-step explanation:

5,11,19,29

Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.

8 0
3 years ago
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