Answer:
A B C=(6,10,11)2.A B C =(1,3,4,5,7,8,9,12,13,14......20)
The answer is:[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}[/tex]
Before giving the solution let discuss what is the universal set, Union, and intersection:
A universal set (typically represented by U) is a collection that has items from all the sets, with no elements being repeated.It specifies in general as a set of all items to be considered.It describes all the elements or objects, including the elements, of other collections.The union of two sets is a collection with all A or B components (possibly both).The intersection denotes the resulting set between such two sets, which contains all the common items.Following are the solution to the question:
Given:
Universal set [tex]\bold{ S = \{ 1 , 2 , 3 , ... , 18 , 19 , 20 \} }[/tex]
Let
[tex]\bold{A, B, C \subset S}[/tex] i.e.
[tex]\bold{A\subset S}\\\\\bold{B\subset S}\\\\\bold{C\subset S}\\\\[/tex]
Set [tex]\bold{A = \{ 1 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 18 , 19 , 20\}}[/tex]
Set [tex]\bold{B = \{ 1 , 3 , 4 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 20 \}}[/tex]
Set [tex]\bold{C = \{ 3 , 6 , 7 , 8 , 9 , 10 , 11 , 13 , 14 , 17 \}}[/tex]
Find:
[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) =?}\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=?}[/tex]
Solution:
In [tex]\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}:[/tex]
Calculating:
[tex]\bold{(A \cup B\cup C) }= \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]
In this question, the "[tex](A \cup B\cup C)[/tex]" value is equal to "[tex]\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]" that is 18 elements.
When we intersecting both sets that is[tex]\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}[/tex] so, its value will be the same that is:
"[tex]\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]" .
In [tex]\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}[/tex]
Calculating:
[tex]\bold{(A \cap B\cap C) }= \bold{\{6, 10, 11, \} }[/tex]
In this question, the "[tex]\bold{(A \cap B\cap C) }[/tex]" value is equal to "[tex]\bold{\{6, 10, 11 \} }[/tex]" that is 3 elements.
When we intersecting both sets that are [tex]\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}[/tex] so, its value will be the same that is:
"[tex]\bold{\{6, 10, 11 \} }[/tex]".
So, the final answer is:[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}[/tex]Learn more:
brainly.com/question/24156307
What is the slope of the line whose equation is 2y=3x+4
Answer:
3/2
Step-by-step explanation:
use the slope-intercept formula y=mx+b to find the slope
hope this helped♥
Answer:
3/2
Step-by-step explanation:
If you divide both sides by 2 to convert to y=mx+b, you get y=3/2x+2. M is the slope, which means that the slope is 3/2.
There are (36)2 ⋅ 30 candies in a store. What is the total number of candies in the store? (5 points)
A. 3 to the power of 3
B. 3 to the power of 4
C. 3 to the power of 8
D. 3 to the power of 12
Answer:
i thibbnk
Step-by-step explanation:
Classify the polynomial by its degree and the number of terms. 8x²- 3y + 7
Answer:
2nd degree
Step-by-step explanation:
-⅘ + ⅗
I really need help on this
Answer:
The answer is -1/5
Step-by-step explanation:
The answer is -1/5 because -4/5 plus 3/5 is in decimal form -0.2 but in fraction form it is -1/5
Helpppppppp??????????????
Answer:
30
Step-by-step explanation:
a and b both equal 30
Find QS
7
22
19
6
none are correct
Answer:
-10
Step-by-step explanation:
None of the above
Answer:
QS = 19
Step-by-step explanation:
4x - 5 = 2x - 5 + 12
2x = 12
x = 6
QS = 19
How to add rational numbers with different denominator ?
How to add rational numbers with same denominator ?
Help!
Answer:
6/7 + 18/7 = 24/7
Step-by-step explanation:
you add the numerator while the denominator remains the same
What is -2 (7-4)+4=-4
3 divided by 1/? = 18
Answer: ? = 6
Step-by-step explanation:
3 divided by 1/x = 18
3x= 18
x = 6
Answer:
3 divided by 1 equals 3
How :
We can write 3 divided by 1 as a ratio, fraction, or equation. Let's try writing this statement in all these ways
3:1
3/1
3÷1
The easiest way for me to solve this question is as a fraction so let's solve it like that. If the denominator is a 1, we immediately know that the answer is the numerator and that you don't need the denominator. so we can take away the 1 from 3/1 and that is how our answer is 3!
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!! :)
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.50) ?
Answer:
1.86
Step-by-step explanation:
Answer:
x= 1.86666666667
Step-by-step explanation:
A rectangular tank has length 4m, width 12m and height 3.5..i. If the tank is filled with water 2/3 of its capacity ,calculate the volume of the water in the tank.
Answer:
The volume of the water in the tank is 112 m³
Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
L is its lengthW is its widthH is its height∵ A rectangular tank has a length of 4 m, a width of 12 m, and
a height of 3.5 m
∴ L = 4 m
∴ W = 12 m
∴ H = 3.5 m
∵ V = L × W × H
∴ The volume of the tank = 4 × 12 × 3.5
∴ The volume of the tank = 168 m³
∵ The tank is filled with water [tex]\frac{2}{3}[/tex] of its capacity
→ That means the volume of the water is [tex]\frac{2}{3}[/tex] the volume of the tank
∵ The volume of the water = [tex]\frac{2}{3}[/tex] the volume of the tank
∴ The volume of the water = [tex]\frac{2}{3}[/tex] × 168
∴ The volume of the water = 112 m³
∴ The volume of the water in the tank is 112 m³
Four less than twice a number is 16
Answer:
woah lol
Step-by-step explanation:
I can't tell if this is a question or not
PLEASE HELP WILL GIVE BRAINLIEST IM TAKING TEST RN
A. 7x + y = 13
B. x−7y=13
C. 7x−y=−13
D. x + 7y = 13
Answer:
I'm not 100% sure however I believe it would be x + 7x
Step-by-step explanation:
You start with what u have and then every week u get $7 each week. So I think this would be the best option however if it isnt right then I'm very sorry.
Hope this helps!
The area of a regular hexagon inscribed in a circle with radius 5 is what . Round your answer to the nearest whole number.
Answer:
Area of regular hexagon inscribed in circle = 64.95
Step-by-step explanation:
Given:
Radius = 5 unit
Find:
Area of regular hexagon inscribed in circle
Computation:
Area of regular hexagon inscribed in circle = 6[1/2][r²sin60]
Area of regular hexagon inscribed in circle = 6[1/2][5²(0.866)]
Area of regular hexagon inscribed in circle = 64.95
Evaluate the expression |2x – 5| for x = –3 and for x = 3.
A)
11, 1
B)
3, 13
C)
13, 3
D)
1, 11
Answer:
Option A: 11,1 is the correct answer.
Step-by-step explanation:
The absolute value is used in the given expressions.
The absolute value represents the values of a number or variable irrespective of its sign. This means that |x| = x and |-x| = 0
Given expression is:
[tex]|2x-5|[/tex]
Putting x=3
[tex]|2(-3)-5| \\= |-6-5|\\= |-11|\\=11[/tex]
Putting x=-3
[tex]|2(3)-5| \\= |6-5|\\= |1|\\=1[/tex]
Hence,
Option A: 11,1 is the correct answer.
Find the value of r so the line that passes through each pair of points has the given slope.
Point 1:(-7,2)
Point 2:(-8,r)
m = -5
Answer:
7
Step-by-step explanation:
[tex]\frac{r - 2}{-8+7} = -5[/tex]
r - 2 = - 5(- 1) ⇒ r = 7
A cube with an edge of 10cm is filled with water.How much water contain.
Answer:
We know that all cube's sides are the same, so 10^3 = 1000 cm3 = 1000 ml = 1L
Step-by-step explanation:
Have a great day :)
If T (n) = 4n-1 what is the 3rd term
Reduce the Fraction: a(x-2y)/b(2y-x)
Answer:
[tex]\displaystyle-\frac{a}{b}[/tex]
Step-by-step explanation:
We have:
[tex]\displaystyle{\frac{a(x-2y)}{b(2y-x)}[/tex]
In the denominator, we can factor out a negative 1. This yields:
[tex]=\displaystyle\frac{a(x-2y)}{-b(x-2y)}[/tex]
We can now cancel out the factor. Hence:
[tex]\displaystyle=-\frac{a}{b}[/tex]
What is the answer i just put something can you’ll plz help mhee fast❤️
Answer:
This is for sure B. Non-proportional
Step-by-step explanation:
The numbers on the left side go down every time, the way you can tell instantly that this is non-linear and hence non-proportional is because the numbers on the left start, then go down, then go up,
May I have brainliest please? :)
Which one?? I’m trying to get a good grade-
Answer:
it has to be B
Step-by-step explanation:
which is equvilent to 8/9
A 8 divided by 1/9
B 8 divided by 9
C 9divided by 1/8
D 9 divided by 8
Answer:
It's B, I think.
Step-by-step explanation:
Karen made $288 for 18 hours of work,
At the same rate, how much would she make for 13 hours of work?
Answer:
She would make 500,000 or else she will speak to the manager.
Step-by-step explanation: Karen will speak to her manager and torture her manager until the manager gives her the money.
Answer: 208
Step-by-step explanation:
$288 ÷ 18 = 16 < 16 would be the amount she gets in 1 hour.
The question asks how much she would make for 13 hours
All you do is 16 x 13 and your answer is 208 :D
I hope this helped ill simplify it for you
You divide 288 by 18 then you take your answer of 16 and multiply it with 13 which you get 208
Hope it helped :D
joseph is shopping for school supplies he can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76 which is a better buy?
Answer:
my name is joseph
Step-by-step explanation:
HELPP ME PLSSS!!! thank you!
please help me asap
I need the answer for "x" 5x - 4 + 2x = 3
Answer:
x=1
Step-by-step explanation:
jackson hikes 220.2 meters up a mountain, if he is 60% of the way up, how tall is the mountain?
Answer:
132.12
Step-by-step explanation:
If (92)P = 98, what is the value of p? (5 points) 2 03 04 O 6
Answer: 1.065
Step-by-step explanation:
(92)P = 98
98/92= 1.0652
Therefore 92(1.0652) = 97.9984
If we round it up it’s about 98
Can someone please help, ty!!
(Will mark brainliest)
Answer:
The answer is 220
Step-by-step explanation:
Let me know if you need an explanation!