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Answer:
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Class 11
>>Maths
>>Sets
>>Complement of Sets
>>If U = {1,2,3,4,5,6, 7, 8, 9 }, A = {2,
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If U={1,2,3,4,5,6,7,8,9},A={2,4,6,8} and B={2,3,5,7}. Verify that
(i) (A∪B)
′
=A
′
∩B
′
(ii) (A∩B)
′
=A
′
∪B
′
Medium
Solution
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U={1,2,3,4,5,6,7,8,9}
A={2,4,6,8}
B={2,3,5,7}
(i) (A∪B)
′
={2,3,4,5,6,7,8}
′
={1,9}
A
′
∩B
′
={1,3,5,7,9}∩{1,4,6,8,9}={1,9}
∴(A∪B)
′
=A
′
∩B
′
(ii) (A∩B)
′
={2}
′
={1,3,4,5,6,7,8,9}
A
′
∪B
′
={1,3,5,7,9}∪{1,4,6,8,9}={1,3,4,5,6,7,8,9}
∴(A∩B)
′
=A
′
∪B
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Answer:
Step-by-step explanation:
Mistakes: The student did not distribute the 3 into 2, and the student did not distribute the 6 into negative 2. The student also left out the negative 2x in the first half of the equation.
3x+6-2x=6x-12
1x+6=6x-12
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6=5x-12
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18=5x
3.6=x
1.Distribute
2 if you do something to one side of the equation you have to do the same to the other
The perimeter of a rectangle is 2020 units.
The length of the rectangle is the distance from (-2,6)(−2,6) to (5,6)(5,6).
What is the width, in units, of the rectangle?
Answers
Answer:
8.4
Step-by-step explanation:
edge
A square tile has sides of 20 cm how many tiles are needed to cover an area of 3 m by 1.8m
Answers
Answer:
135 tiles
Step-by-step explanation:
3 x 1.8 = 5.4 (m2)
20 cm = 0.2 m
0.2 x 0.2 = 0.04 (m2)
5.4 / 0.04 = 135 (tiles)
Explain in your own words the steps to dividing decimals by decimals.
Answers
2: If the divisor is not a whole number, then move the decimal place
places to the right to make it a whole number. Then move the decimal place in the dividend the same number of places to the right (adding some extra zeros if necessary.)
3: Divide as usual. If the divisor doesn't go in evenly, add zeros to the right of the dividend and keep dividing until you get a 0
0
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4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
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29 + 9x ≤ 65
solve for x
Answers
Answer:
x <= 4
Step-by-step explanation:
29+9x<65
-29. -29
9x<36
divide both sides by 9
x less than or equal to 4
Answer:
x ≤ 4
Step-by-step explanation:
29 + 9x ≤ 65
subtract 29 from both sides
29 - 29 + 9x ≤ 65 - 29
9x ≤ 36
divide both sides by 9
9x / 9 = x and 36 / 9 = 4
we're left with x ≤ 4
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[tex] \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } [/tex]
Answer:
[tex] \frac{y ^{3} }{ {x}^{2} } [/tex]
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Answers
Answer:
Step-by-step explanation:
The upper right angle is supplement to 130° and a corresponding angle to (3x + 5)
130 + (3x + 5) = 180
3x + 5 = 50
3x = 45
x = 15
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Answers
Answer:
4060
Step-by-step explanation:
Answer:4060
Step-by-step explanation:
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Answers
Answer:
Translate from words to mathematical equation.
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m% = m/100
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"of" means multiply
n = (m/100)•x
Heres an easy question. Solve this.
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Answers
Answer:
y=50
Step-by-step explanation:
[tex]\frac{1}{5}[/tex]y=10
y=10÷[tex]\frac{1}{5}[/tex]
=50
Suppose that the probability that an item produced by a certain machine will be defective is 0.1. Find the probability that a sample of 20 items will contain at most 2 defective items.
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Answer:
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Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=5/2
Decimal Form:
x=2.5
Mixed Number Form:
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Step-by-step explanation:
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Answers
Answer:
(2, 1)
Step-by-step explanation:
-4 + 6 = 2
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X and Y become positive by going up and right
Answer:
(2, 1 )
Step-by-step explanation:
A move of 2 units up in the positive y- directions means adding 2 to the y- coordinate.
A move right of 6 units in the positive x- direction means adding 6 to the x- coordinate.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
given,
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Answers
Answer:
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Decimal form: 0.166667
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Answer:
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Step-by-step explanation:
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A sample of 400 large companies showed that 130 of them offer free health fitness centers to their employees on the company premises. If one company is selected at random from this sample, what is the probability that this company offers a free health fitness center to its employees on the company premises? What is the probability that this company does not offer a free health fitness center to its employees on the company premises? Do these two probabilities add up to 1.0? If yes, why?
Answers
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Answers
Answer:
40,44,48,52
Step-by-step explanation:
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A store makes $9500 a month in sales. They pay $3325 a month in rent. What percent of their sales is used to pay rent
Answers
Answer:
35%
Step-by-step explanation:
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Morgan Office Supply sells 8 reams of Brand X paper for $40 and 4 reams of Brand Y paper for $19. What is the cost savings per ream of paper for the cheapest brand?
Answers
Answer:
$0.25 per ream
Step-by-step explanation:
The costs per ream are ...
X: $40/(8 reams) = $5/ream
Y: $19/(4 reams) = $4.75/ream
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Answers
The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average acceleration = (change in velocity)/(time it takes). Since the car's change in velocity is zero, its acceleration is zero.
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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[tex]16\div \left( 2+\frac{1}{2} \right)^2\implies 16\div \left( \frac{2}{1}+\frac{1}{2} \right)^2\implies 16\div \left( \cfrac{4+1}{\underset{\textit{using this LCD}}{2}} \right)^2 \\\\\\ 16\div\left( \cfrac{5}{2} \right)^2\implies 16\div\cfrac{5^2}{2^2}\implies 16\div\cfrac{25}{4}\implies \cfrac{16}{1}\div\cfrac{25}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{25}\implies 2\frac{14}{25}[/tex]
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Answers
Answer: Ted is 14 years old, Ed is 21 years old
Answer: Ted is 14 years old, and Ed is
21 years old.
Explanation is in the image.
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Answer:
1) 5.44, 2) 3.9
Step-by-step explanation:
1) a/b + 2b - a^2 when a = 1.4 and b = 0.2
plug in the values:
1.4/0.2 + 2(0.2) - (1.4)^2 = 7 + 0.4 - 1.96 = 5.44
2) a[b-2c]^3 - d/e when a = 2, b = -0.75, c = -1, d = 0, e = -12 5/7 (rewritten to -89/7 = 12.71)
again, plug in the values:
2[-0.75-2(-1)]^3 - 0/12.71 = 2[1.25]^3 - 0 = 2[1.95] = 3.9
look at this digram a. what fraction is shaded b. what percentage is shaded
Plz answer ASAP
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Answers
Answer:
a:6÷9
b:0.666% are the answers
3 ft
Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate i.
4 ft.
5 ft
5 ft
A = [? ] ft?
-
Notice that only half of the circle is included in the figure!
Enter
Answers
Answer:14
Step-by-step explanation:
7×0.4= show work please
Answers
Answer:
2.8
Step-by-step explanation:
.4 × 7 =2.8
.4+.4+.4+.4+.4+.4+.4
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Answer:
2.8
Step-by-step explanation:
This is the same as:
[tex]0.4+0.4+0.4+0.4+0.4+0.4+0.4[/tex]
If we were to change the question to:
[tex]4+4+4+4+4+4+4=28[/tex]
That would be 10x this question's answer, Therefore you divide 28 by 10 to give you 2.8