A is a finite non-empty set. The domain for relation R is the power set of A.(Recall that the power set of A is the set of all subsets of A.) For X⊆ A and Y ⊆A, X is related to Y if X is a proper subsets of Y (i.e., X ⊆Y). Choose the description that accurately describes relation R.
a. Symmetric and Reflexive
b. Anti-symmetric and Reflexive
c. Symmetric and Anti-reflexive
d. Anti-symmetric and Anti-reflexive

Answers

Answer 1

Answer:

The answer is "Choice D"

Step-by-step explanation:

Determining the information:

For "[tex]X \subseteq A[/tex] " and "[tex]Y \subseteq A[/tex]",  [tex]X[/tex] relates to [tex]Y[/tex] when [tex]X[/tex] and [tex]Y[/tex] has the same cardinality. therefore, R does not have reflective:

For every "[tex]X \subseteq A[/tex]", "[tex]X= X[/tex]" So, X  not proper subset of[tex]X[/tex].  So, R does not havereflexive.

R does not have symmetry:

For every "[tex]X \subseteq Y[/tex]" ,then, "[tex]Y \subset X[/tex]"  is not true because [tex]X[/tex] not relate to [tex]Y[/tex].  So, R is not symmetric.

R does not have antisymmetric:

When [tex]X[/tex] relates to [tex]Y[/tex] and [tex]Y[/tex] is relate to [tex]X[/tex], then "[tex]X \subset Y[/tex]" and "[tex]Y \subset X[/tex]"[tex]\to X=Y[/tex]

Therefore, R is anti-symmetric.


Related Questions

Easy variable question pls help

Answers

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

[tex]\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})[/tex]

2. Simplify

[tex]\frac{32}{5(2z-1)} = \frac{8}{3z+1}[/tex]

3. Cross multiply

[tex]32(3z+1) = 5(2z-1) * 8[/tex]

4. Simplify again (distributive property)

[tex]32(3z+1) = 40(2z-1)[/tex]

5. Distributive property

[tex]32(3z+1) -> 96z+32[/tex]  

[tex]40(2z-1) -> 80z-40[/tex]

[tex]96z+32=80z-40[/tex]

6. Subtract 32 from both sides

[tex]96z+32-32 = 80z-40-32[/tex]

7. Simplify

[tex]96z = 80z-72[/tex]

8. Subtract 80 from both sides

[tex]96z-80z=80z-72-80z[/tex]

9. Simplify

[tex]16z=-72[/tex]

10. Divide both sides by 16

[tex]\frac{16z}{16}=\frac{-72}{16}[/tex]

11. Simplify

[tex]z=-\frac{9}{2} -> also = -4\frac{1}{2}[/tex]

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

The probability that a student is accepted to a prestigious college is 0.3. If 5 students from the same school apply, what is the probability that at most 4 are accepted

Answers

Answer:0.849185

Step-by-step explanation:

Binomial probability formula we will use:

[tex]$P(x)=\frac{n !}{x !(n-x) !} p^{x} q^{n-x}$[/tex]

where,

[tex]n=5$\\$\mathrm{P}$ (probability of success) $=0.3$\\q=1-p[/tex]

The computation of the probability will be :

[tex]$P(x \leq 2 ; 5,0.3)=P(x=0 ; 5,0.3)+P(x=1 ; 5,0.3)+P(x=2 ; 5,0.3)+P(x=3 ; 5,0.3)$\\$=\left[\frac{5 !}{5 !(5-0) !}(0.3)^{0}(1-0.3)^{5-0}\right]+\left[\frac{5 !}{5 !(5-1) !}(0.3)^{1}(1-0.3)^{5-1}\right]$$+\left[\frac{5 !}{5 !(5-2) !}(0.3)^{2}(1-0.3)^{5-2}\right]$$++\left[\frac{5 !}{5 !(5-3) !}(0.3)^{3}(1-0.3)^{5-3}\right]$$++\left[\frac{5 !}{5 !(5-4) !}(0.3)^{4}(1-0.3)^{5-4}\right]$\\$=0.1681+0.3601+0.3087+0.006615+0.00567$\\$\Rightarrow 0.849185$[/tex]

The probability that at most 4 are accepted = 0.849185

Help me pls !!!!! Rlly need it

Answers

Answer:

its ajwhwowhwkwuquwwyqkqhqoagwkw6shsossgsjiwhesishsisjsjsishwiwgaisujwwisu

Answer:



Solution: jajajajajajajjajajajaj

how to do this.If you dont understand my language use the english​

Answers

Nisbah sebara : nisbah yg mempunyai bentuk terendah yg sama

Pasangan nisbah yang berkadaran : nisbah yg mempunyai bentuk terendah yg sama

Rachel ate 1 4/6 brownies, and brandy ate 6/7 of a brownie. how many brownies did they eat altogether?​

Answers

Answer:

53/21 OR 2 11/21

Step-by-step explanation:

1 4/6 + 6/7

Change 1 4/6 into an improper fraction

1 4/6 6x1= 6+4= 10/6

Simplify 10/6 --> 5/3

5/3+ 6/7

find a common denominator (21)

35/21+18/21= 53/21

mixed number form is 2 11/21

Answer:

[tex]2 \frac{11}{21}[/tex]

Step-by-step explanation:

1 4/6 + 6/7 = 2 11/21

Solve 1/3(3.2×1.4)2.8

Simplify your answer​

Answers

4 68⁄375 is the purpose answer

Given f(x) = 3 and g(x) = cos(x). What is lim [F(x) - g(x)]?

x = -TT

2

4

DNE

Answers

Answer:

4

Step-by-step explanation:

[tex]\lim_{n \to \ -\pi } (f(x) - g(x))\\\\ = \lim_{n \to \ -\pi } (3 - cos x)\\\\ = 3 - cos( - \pi) = 3 - cos(\pi)\\\\ = 3 - (-1) = 3 + 1 = 4[/tex]

Hi I need help plz help

Answers

Answer: 120

Step-by-step explanation:

5/3 X 4/3 X 2= 40/9

40/9 Divided by 1/3

40/3

Calculate the radius of the below. Show all work.

Area -0.25 ft

Answers

Answer:

r ≈ 0.28

Step-by-step explanation:

[tex]r=\sqrt{\frac{A}{\pi } }[/tex]

[tex]r=\sqrt{\frac{0.25}{\pi } }[/tex]

0.28209

≈ 0.28

Kobe drinks
cup of juice each day. He has
juice left. For how many days will it last?
Show your answer as a multiplication
equation with 1/3 as a factor. Remember,
you can write 2 1/3 as a fraction.

Answers

1/6 _12/85/907 4456

first put h then a then aaaaaaaaaaaaaaaaaaaaaaa then hah

A car is 3 times as old as its tires were when it was as old as the tires Are now.
When it’s tires are as old as the car is now,the car will be a year older than the tires are now.
What are the present ages of car and tires?

Answers

Answer:

Present age of the car = 1.5 years and the tires are 0.5 years old.

Step-by-step explanation:

Let the present age of the car be x years and that of the tires be y years.

x = 3y

x = y + 1

3y = y + 1

2y = 1

y = 0.5.

x = 3*0.5 = 1.5.

Determine the following indefinite integrals. Check your work by differentiation.

∫4x^1/3-x^-1/3dx

Answers

Answer:

[tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 3x^\bigg{\frac{4}{3}} - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

IntegralsIndefinite IntegralsIntegration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = \int {4x^\bigg{\frac{1}{3}}} \, dx - \int {x^\bigg{\frac{-1}{3}}} \, dx[/tex][1st Integral] Rewrite [Integration Property - Multiplied Constant]:             [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 4\int {x^\bigg{\frac{1}{3}}} \, dx - \int {x^\bigg{\frac{-1}{3}}} \, dx[/tex][Integrals] Reverse Power Rule:                                                                   [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 4 \bigg( \frac{3x^\bigg{\frac{4}{3}}}{4} \bigg) - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]Simplify:                                                                                                         [tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 3x^\bigg{\frac{4}{3}} - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]

Step 3: Check

Differentiate the answer.

Rewrite [Derivative Property - Addition/Subtraction]:                                 [tex]\displaystyle \frac{d}{dx} \bigg[ 3x^\bigg{\frac{4}{3}} \bigg] - \frac{d}{dx} \bigg[ \frac{3x^\bigg{\frac{2}{3}}}{2} \bigg] + \frac{d}{dx} \bigg[ C \bigg][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle 3\frac{d}{dx} \bigg[ x^\bigg{\frac{4}{3}} \bigg] - \frac{3}{2}\frac{d}{dx} \bigg[ x^\bigg{\frac{2}{3}} \bigg] + \frac{d}{dx} \bigg[ C \bigg][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle 3 \bigg( \frac{4}{3}x^\bigg{\frac{1}{3}} \bigg) - \frac{3}{2} \bigg( \frac{2}{3}x^\bigg{\frac{-1}{3}} \bigg)[/tex]Simplify:                                                                                                         [tex]\displaystyle 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}}[/tex]

∴ we have found the answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
A.
B.
C.
D.

Answers

Answer:

C

It is the only point that connects the two lines

Which fraction is equivalent to 12/27? help

Answers

[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]

Hope This Helps You

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-

1st Fraction :-

[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]

2nd Fraction :-

[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]

3rd Fraction :-

[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]

3 fractions equivalent to [tex] \frac{12}{27} [/tex] are [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

I NEEED HELPPPPPPPPP!!!!!

Answers

I believe the answer would be 50

Answer for brainlest

Answers

Answer:

∠1 = ∠5

Step-by-step explanation:

The reason is because corresponding angles are equal! :)

WILL GIVE BRAINLIST
MATH




CONVERT EACH MEASUREMENT

SHOW STEPS ALL


9 1/8 lbs to ounces

Answers

Answer:

146 Ounces.

Step-by-step explanation:

9.125 [tex](\frac{1}{8})[/tex] lbs to ounces.

Multiply the mass value by 16.

To Check Work:

Divide 146 by 16 which equals [tex]\frac{73}{8}[/tex]/ 9.125.

Divide 146 by 9.125 [tex](\frac{1}{8})[/tex] which equals 16.

In the triangle below..

Answers

Answer:

44

Step-by-step explanation:

Step 1: Create an equation to solve for ∠Z

Recall that trig ratio tangent = Opposite over Adjacent

Opposite of ∠Z = 75 and adjacent of ∠Z = 79

Hence, [tex]tan(z)=\frac{75}{79}[/tex]

We now solve for z

Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1

[tex]tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147[/tex]

We're left with z = 43.51213147

Our last step is to round to the nearest degree,

We get that ∠Z = 44

The answer is 44 hope this helps

PROBLEM 1. Veldora walked around the circular pool. The circular pool has a
diameter of 3 meters. What is the distance that Veldora has walked?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?________________________
Step 2 – Plan
What must be done to solve the problem? _________________
Step 3 – Solve and answer ___________________________
Carry out the plan & write the final answer. _______________
Step 4 – Check
Is the answer correct? _______________________
PROBLEM 2. How much greater is the circumference of the circle with a diameter of
12m than another circle with a radius of 5m?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?_______________________
Step 2 – Plan
What must be done to solve the problem?_________________
Step 3 – Solve and answer ________________________
Carry out the plan & write the final answer._______________
Step 4 – Check
Is the answer correct?_________

Answers

Answer:

9.42m

Step-by-step explanation:

I took this on a test. Was extremely difficult, but I remembered the answer after my 4th retake

PLEASE HELP! 20 POINTS!!

The tops of two tables in a furniture store are similar rectangles as shown below.


The length of the larger tabletop is 12 feet. What is its width, x?

Answers

Answer:

X = 8

Step-by-step explanation:

Find m=FGP if m=FGP = x + 8, m=FGH = 100°, and
m=PGH =6x + 8
Please Please help, no links

Answers

6x+8=100
6x=92
X= 15.33 or x =15 1/3

The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!

Answers

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

The sum of the angles of a polygon is 2160. How many sides does the polygon have?

Answers

Answer:

14 sides

Step-by-step explanation:

Sum of the interior angles of a polygon is given by the formula (n-2)180°. So (n-2)180° = 2160°. So the polygon has 14 sides.

5(k+2)-3(k+2) combine to make simpiler

Answers

Answer:

2k + 4

Step-by-step explanation:

David,

Start by performing the indicated multiplication:

5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.

Next, combine like terms:  5k - 3k + 10 - 6 becomes 2k + 4

This 2k + 4 is the desired simpler result.

Find the sum of the first four terms of the geometric series 5 + 50 + 500+....

Answers

The answer is 5 + 50 + 500+5000= 5555

Find the values of X and Y. Show your work.

Answers

Answer:

x = 6

y = 24

Step-by-step explanation:

Recall: length of corresponding sides of similar figures are proportional to each other.

Thus:

4/12 = x/18 = 8/y

Find x:

4/12 = x/18

1/3 = x/18

Cross multiply

3x = 18

3x/3 = 18/3

x = 6

Find y:

4/12 = 8/y

1/3 = 8/y

Cross multiply

y = 8*3

y = 24

What is the meaning of amplitude and period in math?

Answers

Answer:

See below

Step-by-step explanation:

For a wave function, the amplitude is the distance from the maximum or minimum of the function to the midline. The period is the length of which the wave cycle repeats (for example y=sinx has a period of 2pi).

Answer:

Amplitude is the height from the mean, or rest,value of the function to its maximum or minimum . ...The period is the distance required for the function to complete one full cycle. For the sin function, the amplitude is given by and the period is defined as. The same is true for a cosine function.

Step-by-step explanation:

hope it is helpful to you

[tex]nisha[/tex]

Confusion .. help please

Answers

Answer:

2

Step-by-step explanation:

We are to determine the value of KM which is adjacent to angle 35. we also have the value for the hypotenuse. Thus we would use COS

Cos 35 = adjacent /hypotenuse

0.8192 = adjacent / 123

adjacent = 0.8192 x 123 = 100.7557 cm

100.8 cm

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

What is the perimeter of a square whose area is 64 square kilometers?
.
A 16 km
B.32 km
c. 64 km
D.256 km

Answers

90% sure that it’s A because 64/16=4

Find the measurement of 1
What’s the answer and how do you do it

Answers

Answer:

68

Step-by-step explanation:

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