[tex]\large\underline{\sf{Solution-}}[/tex]
Let assume that,
[tex]\rm \longmapsto\:A \: = \:\{x\} \: [/tex]
and
[tex]\rm \longmapsto\:B \: = \:\{y\} \: [/tex]
[tex]\rm\implies \:A \: \cap \: B = \phi [/tex]
and
[tex]\rm \longmapsto\:A\cup B = \{x, \: y\}[/tex]
We know,
Power set of a set A is defined as set of subsets of A.
So,
[tex]\rm \longmapsto\:P(A) = \{ \phi ,\: x\}[/tex]
and
[tex]\rm \longmapsto\:P(B) = \{ \phi ,\: y\}[/tex]
and
[tex]\rm\implies \:P(A \: \cap \: B) =\{ \phi \}[/tex]
and
[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]
Now, Consider
[tex]\rm \longmapsto\:P(A)\cup P(B) = \{\phi ,x,y\}[/tex]
and
[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]
[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cup P(B) \: \ne \: P(A\cup B) \: }} \\ [/tex]
Now, Consider
[tex]\rm \longmapsto\:P(A\cap B) = \{\phi \}[/tex]
and
[tex]\rm \longmapsto\:P(A) \: \cap \: P( B) = \{\phi \}[/tex]
[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cap P(B) \: = \: P(A\cap B) \: }} \\ [/tex]
Which of the following values makes the equation
4x − 8 = −4 true?
−3
−1
1
3
Work Shown:
4x - 8 = -4
4x = -4+8
4x = 4
x = 4/4
x = 1
To check the answer, we replace x with 1 in the original equation. After simplifying, we should get the same thing on both sides
4x - 8 = -4
4(1) - 8 = -4
4 - 8 = -4
-4 = -4
The answer is confirmed.
true? I believe due to how it starts with positive 4 and is subtracted by -8 this conceding a negative number.
Someone help me I will mark you as brain
Answer:
Last one hard to explain
help ill give brainly
Answer:
The answer would be 26%
Step-by-step explanation:
Answer:27
i think that 27 is the answer
[tex]\sf 15=2x-9[/tex]
Answer:
x=12
Step by step explanation:
Step by step explanation:Add 9 to both sides :
15 = 2x - 9
15 + 9 = 2x - 9 + 9
Simplify:
24 = 2x
Divide both sides to get the result:
24 = 2x
24/2 = (2x)/2
Result:
x=12
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
Answer:
x=12
Step-by-step explanation:
[tex]15=2x-9[/tex]
[tex]2x-9=15[/tex]
[tex]2x-9+9=15+9[/tex]
[tex]2x=24[/tex]
[tex]\cfrac{2x}{2}=\cfrac{24}{2}[/tex]
[tex]x=12[/tex]
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
I'm guessing 60km.
Step-by-step explanation:
So per hour,
45km÷3=15km/h
Thereof,
In 4 hours,
15×4=60km.
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answer:
76 and 19 are the answersNeed help pls pls pls asap pls
Answer:
C(h) = 1+.25h
Step-by-step explanation:
Total cost = flat fee plus .25 times h ( where h is the number of hours)
C(h) = 1+.25h
pls help fast no randoms
Answer:
A, D, E
Step-by-step explanation:
Those are your surds because when you square root them they stay in the radical
Answer:
hla shougi
Step-by-step explanation:
I'm having a bit of trouble finding out how to find the Domain of this function. Help please!
In general, the domain is the set of all x-values for the graph.
The issue here is that this isn't the graph of a function. A function has at most one y-value for each x-value and this graph has an infinite number of y-values for the single x-value of 1.
So, either your teacher is wanting you to say the domain is {1}, because that's the only x-value used by the graph, or they're wanting you to say this is a trick question, because this isn't the graph of a function.
The range is the set of all y-values, which is -9<y<9, but again, do they intend this to be a trick question?
5 = t + 12
please help me for this
Answer:
t = -7
Step-by-step explanation:
You have to get t by itself. Just take the 12 and subtract it from both sides. 5-12 on the left and 12-12 on the right. You then end up with -7 = t or t = -7.
Even more picrews of mine............... THIS IS THE LAST ONE I WILL MAKE K? (not to be mean)
i have a lot of picrew
Answer:
Honestly you should enter the art show or something in your city/country
Step-by-step explanation:
It is good.
the ratio of yellow balls to green balls in a a bag is 4:2
what faction of the balls are yellow?
Answer: for every 1 green ball there is 2 yellow balls so 75% yellow 25% green I think unless I’m wrong which I wouldn’t be surprised
Step-by-step explanation:
Order of operations question
Answer:
165 po ang sagot
Kung Hindi po tama sorry
I try my best
Solve to find X. 1/5(x - 2) = 1/10 (x + 6)
Answer:
x = 10
Step-by-step explanation:
First, distribute:
[tex]\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}[/tex]
Next, subtract [tex]\frac{1}{5}x[/tex] from both sides:
[tex]-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}[/tex]
(multiply [tex]\frac{1}{5}x[/tex] by 2 to get common denominator, [tex]\frac{2}{10} x[/tex] )
[tex]-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}[/tex]
Next, subtract [tex]\frac{6}{10}[/tex] from both sides:
[tex]-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x[/tex]
(multiply [tex]\frac{2}{5}[/tex] by 2 to get common denominator, [tex]\frac{4}{10}[/tex] )
[tex]-\frac{10}{10} =-\frac{1}{10} x[/tex] ⇒ [tex]-1=-\frac{1}{10} x[/tex]
Next, multiply both sides by 10:
[tex]-10=-x[/tex]
FInally, divide both sides by -1:
x = 10
Answer:
Step-by-step explanation:
1/5(x-2) =1/10(x+6)
1/5x-2 = 1/10x+0.6
1/5x+1/10x= 0.6-2
0.2x+0.1x= -1.4
0.3x= -1.4
x= -4.67
x= -4.7
x= -5
Andrea drove 20 1/2 miles in 1/3 of an hour at constant speed what was that speed
Answer:
423
Step-by-step explanation:
123423
The constant speed for the given distance and time is 123/2 miles/hour.
Given that, Andrea drove [tex]20\frac{1}{2}[/tex] miles in 1/3 of an hour at constant speed.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Here, [tex]20\frac{1}{2} = \frac{41}{2}[/tex]
Now, speed = Distance ÷ Time
= 41/2 ÷ 1/3
Change division to multiplication and reciprocal the fraction
That is, 41/2 × 3/1
= 123/2 miles/hour
Therefore, the constant speed for the given distance and time is 123/2 miles/hour.
To learn more about the speed, distance, and time visit:
brainly.com/question/4978052.
#SPJ2
Bertha read 21 books. Each book had 155 pages. How many pages did she read altogether? 465 pages
3,155 pages
3,355 pages
3,255 pages
Answer:
3,255 pages
Step-by-step explanation:
multiply 155 by 21
lee Hoskins: Attempt 1
A tennis racket with a price of $180 is subject to a sales tax of 7%. What is the total
price of the racket?
$192.60
$187
whats this i have been struggling for this . 5(3x−2)=−x−10
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]5(3x-2)=-x-10~(Given)\\\\15x-10=-x-10~(Distribute~5~to~3x-2)\\\\15x-10+x=-x-10+x~(Add~x~on~both~sides)\\\\16x-10=-10~(Simplify)\\\\16x-10+10=-10+10~(Add~10~on~both~sides)\\\\16x=0~(Simplify)\\\\\frac{16x}{16}=\frac{0}{16}~(Divide~16~on~both~sides)\\\\x=0~(Simplify)[/tex]
i Square = Square Root -1. True or false
Answering is false I know because I’m smart
At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $2.40 and the cost of a large greeting card is $3.70. How much would it cost to get 2 small greeting cards and 3 large greeting cards? How much would it cost to get x small greeting cards and y large greeting cards?
Answer:
1)15.9
depends on what x and y are but put 15.9 ig
Step-by-step explanation:
Answer:
cost of smalls + cost of larges so the answer is 2.40+3.70
Step-by-step explanation:
dbtnjjj5ygjhts2hjuuujjhjj
Answer:
thanks for the points........
Answer:
wt f ok?
Step-by-step explanation:
A metal strip is being installed around a rectangular workbench that is 8 feet long and 4 feet wide. If the stripping costs $4 per foot, find the total cost of the stripping.
Answer:
$144
Step-by-step explanation:
Length*Width*Price
12*3 = 36
36*4 = 144
$144
Solve the equation
[tex] \frac{1}{x} + \frac{1}{3x} = 4[/tex]
CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+35POINTS
thanks xx)
pasensya naka limutan kona
Round 848704to the nearest thousand
Answer:
849000
Step-by-step explanation:
I used a site called Rounding to the Nearest Thousand Calculator. Sorry Brainly doesn't allow links:))) Happy Halloween!!
in a survey 75% of respondents said that they watch TV for one hour each day if 30 respondents said they watch tv for one hour each dat how many respondents took survey in total?
Answer:
the total number of respondents who took the survey are, 40
Happy To Help :) Brainlyist Please!
Two more than a number is the same as 16 decreased by 6 times the number. Find the number.
Answer:
X+2=16-6x
X=14-6x
Add 6x on both sides.
7x=14
Divide both sides by 7.
X=2
starts at 12 and ends at 6
Answer:
126
Step-by-step explanation:
i don't know if it's correct or not
What is the difference in the account balances shown below? Behrooz: (-$21.00) Cody: $3.00
Answer:
-7
Step-by-step explanation:
-21.00/3.00
13 degree difference?
15 degree difference?
16 degree difference?
17 degree difference?
Answer:
gggggggggggggggvggfggffvvvcvcccccfffcffffffffff
[tex]201[/tex]
Two numbers have a sum of 32. One number is 6 more than the other. Find the numbers
Let the bigger number be 'U' and the smaller number 't'.
Since the two numbers have a sum of 32, then U + t = 32.
& since one number is 6 more than the other, the U - 6 = t
⇒ U + U - 6 = 32
2U = 38
U = 19
By substituting fot the value of U we found,
19 - 6 = t
t = 13
∴ the numbers are 13 & 19.Answer:
13 and 19
Step-by-step explanation:
let's first set the two mystery numbers as "x"
and we know that x + (x + 6) = 32 since one of the numbers is 6 more than the other.
now let's set it up:
x + x + 6 = 32
= 2x = 26
= x = 13
so we know that x = 13 now we need to find the other number so we do:
13 + 6 = 19
now to check our work:
13 + 19 = 32
hope that helped :))