The power set of the complement of a set c has 2^n elements, where n is the cardinality of set c.
Given the complement of a set c as d, we can find the power set of d, denoted by p(d), as follows:
First, we need to find the cardinality (number of elements) of set d. Let the cardinality of set c be n, then the cardinality of its complement d is also n, as each element in c either belongs to d or not.
Next, we can use the formula for the cardinality of the power set of a set, which is 2^n, where n is the cardinality of the set. Applying this formula to set d, we get:
2^n = 2^n
Therefore, the power set of d, p(d), has 2^n elements, each of which is a subset of d. Since n is the same as the cardinality of set c, we can write:
p(d) = 2^(cardinality of c')
In other words, the power set of the complement of a set c has 2^n elements, where n is the cardinality of set c.
Learn more about power set here:
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The simple interest earned for certain amount for 3 years at 5% is AED. 450. The amount invested is ________.
I need the steps also
Answer:
AED 3000Step-by-step explanation:
Let the invested amount is x
Interest rate is r = 5% simple = 0.05 timesTime is t = 3 yearsInterest amount I = AED. 450Using the interest formula and solving for x:
P*r*t = Ix*0.05*3 = 4500.15x = 450x = 450/0.15x = 3000The amount invested is AED 3000
A tree casts a shadow that is 9 feet long. The distance from the top of the tree to the end of the shadow is 15 feet. What is the height of the tree?
Answer:
15 feet tall hi hi hi hi hi hi
Answer:
10
Step-by-step explanation:
which sentence demonstrates the multiplicative identity?
1. 1/2•1=1/2
2. 1/2•2=1
3. 1/2+0=1/2•
Answer:
It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1
Step-by-step explanation:
Clasificación de los ángulos de acuerdo a sus aberturas
Answer:
recto, agudo, obtuso, liano, completo, convexo, cóncavo
Step-by-step explanation:
que son monomios? y 4 ejemplos
una expression algebraic
5x9
xy²
8x6y
3x
Stu is buying a &35 tool. The store reduces the price by 5%. How much will Stu pay for the tool?
Correct question is:
stu is buying a $35 tool. The store reduces the price by 5% and then applies an $8 off coupon. How much will Stu pay for the tool
Answer:
$25.25
Step-by-step explanation:
The cost of the tool has been given as $35.
The price of this tool is then reduced by 5%.
When we apply this reduction to initial price
= 35 * 5%
= 35x0.05
= $33.25
If a coupon of 8 dollars is applied
The price to be paid for the tool will be
$33.25 - $8.00
= $25.25
Stu is going to pay $25.25 for the tool
What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5
Answer:
[tex]\frac{3x+4}{x+5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]
Since both fractions have a common denominator then add the numerators, placed over the common denominator.
= [tex]\frac{2x+7+x-3}{x+5}[/tex]
= [tex]\frac{3x+4}{x+5}[/tex]
Answer:
The answer is
[tex] \frac{3x + 4}{x + 5} [/tex]
Step-by-step explanation:
We can do this by using the denominators.
[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]
What is the product of these two binomials?
(x^2 - 5)(2x - 1)
Step-by-step explanation:
Please refer to the attachment
find the value of z
Answer:
[tex] z = 12 \sqrt{5} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]
By Pythagoras Theorem:
[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]
i really need help ASAP, its due on midnight
Answer:
a. s=94 b. s=8w+54 c. w=14
Step-by-step explanation:
I posted a picture how I got this answer
Hope this helped
please please help! i just answered a few questions just to post this im using all my points.
Answer:
Step-by-step explanation:
∠RST=180-44-15
=121°
In ΔRST and ΔLMN,
∠RST=∠LMN (proven)
∠TRS=∠NLM (given)
∴ΔRST ~ ΔLMN (AA)
Answer:
Yes
Step-by-step explanation:
If all the angles in the triangles are the same, then the triangles are similar.
ΔSRT: The angles in a triangle add up to 180. 44+15+x=180, x=121
ΔLMN: The angles in a triangle add up to 180. 44+121+x=180, x=15
Both triangles share the same angles (44,15 and 121), so they are similar.
The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?
Answer:
16p^2 - 24p - 9
Step-by-step explanation:
I literally just took the test lol
find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104
Answer:
find the mean median mean devialion
Please help me on this I need help and nobody is really helping
Answer:
(0,0)
Step-by-step explanation:
That is the middle.
Graphf (x) = 3x + 4 and a h(x) = -f(x).
Answer:
I think the answer is 56 .
The circumference of a circle is 31.4 inches. Enter the radius of the circle, in inches. Round your answer to the nearest whole number.
Answer:
Should be 5 in.
Step-by-step explanation:
C=2*Pi*R
31.4=2*3.14*R
substitute 5 for radius= 2*5=10
10*3.14=31.4
PLEASE HELP ASAP!!!
(Question in picture! Please include steps :))
Answer:
90 degree - 60 degree = 30 degree always remember yn will be 90 degree
Answer:
MN = π
Step-by-step explanation:
The arc MN is calculated as
MN = circumference of circle × fraction of circle
= 2πr × [tex]\frac{60}{360}[/tex] ( r is the radius )
= 2π × 3 × [tex]\frac{1}{6}[/tex]
= 6π × [tex]\frac{1}{6}[/tex]
= π
Help plssssssssssssss?
Answer:
2
Step-by-step explanation:
because when x, the input, is -3, the y, the output, is 3
yoo hii, could yall please help me!!
what this answer
954328- 864597
Answer:
Answer is 89,731
Step-by-step explanation:
I hope it's helpful!
Answer:
89731
Step-by-step explanation:
954328 - 864597
= 89731
Hope this helps :)
Let me know if there is any mistake!!
Help pls!!! Photo attached.
Answer:
i hope this helps
Step-by-step explanation:
John has $80. Every week, he spends $7.
Create an equation that represents how much money, m, he has after t weeks.
How much money, in dollars, will he have after the fourth week?
Enter the equation and the answer on separate lines.
can some one help me please....
step by step explanation........
Answer:
There are 77 members in the group.
Step-by-step explanation:
1Rs = 100 paise ( Indian Currency Conversion )
Given,
Total amount collected is = Rs 59.29
Now convert Rs 59.29 to paise that is 59.29 × 100 = 5929 paise
Condition :- Paise collection = Total number of members
Consider any of the above condition as X
So, X² = 5929
X = √5929 = 77
Thus, Total number of members in the group is 77 [ Option C ]
Hope this helps you.
What is the justification for step 2? 4(x-5)= -12 Justification Step 1: 4x-20=-12 Distributive Property Step 2 4x= 8 ? Step 3 x=2 Division Property of Equality
Answer:
addition property of equality
Step-by-step explanation:
Given the equation 4(x-5) = -12
Expand
4x - 20 = -12
Add 20 to both sides (addition property of equality)
4x-20+20 = -12+20
4x = 8
x = 8/4
x = 2
Hence the value of x is 2
The justification for step 2 is addition property of equality
HELP! THIS IS DUE IN LESS THAN 20 MINUTES! PLEASE!!! I'M ALREADY BEHIND AND THIS WILL SET ME BACK EVEN MORE!!!
Answer: For 7 this is how to graph it
If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP
Answer:
365.76
Step-by-step explanation:
If 2 feet is 60.96, then 1 foot is 30.48.
30.48 times 12 = 365.76
365.76 centimeters is the answer.
Hope this helps!
Plz, mark brainliest!
Answer:
365.76 cm in 12 feet
Step-by-step explanation:
Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)
Now we can cross multiply, which gives us 12*60.96=2*x
Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.
Calculate the slope of the graph
The school production of 'Our Town' was a big success. For opening night, 391 tickets were sold. Students paid $4.00 each, while non-students paid $6.00 each. If a total of $1786 was collected, how many students and how many non-students attended?
Answer:
280 students
111 non students
Step-by-step explanation:
number of students (S)
number of non students (N)
S+N=391 S=391-N
4S+6N=1786
substitute S
4(391-N)+6N=1786
1564-4N+6N=1786
subtract 1564 from each side
2N=222
N=111
S=391-111=280
Graph the following features:
• Slope = 2
Y-intercept = -5
y = mx + b
y = 2x - 5
you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.
it should look like this:
hope this helps !!
How do i identify the minimum
Answer:
to identify the minimum of the table try looking at the negative numbers first and then look at the positive numbers