Let A = {10,20,30). Find one non-empty relation on set A such that all the given conditions are met and explain why it works: Not Reflexive, Not Transitive, Antisymmetric. (Find one relation on A that satisfies all three at the same time - don't create three different relations).
Previous question
Answers
R = {(10, 20), (20, 30), (30, 10)} is one non-empty relation on set A that satisfies all three conditions.
One non-empty relation on set A that satisfies all three conditions (not reflexive, not transitive, and antisymmetric) is:
R = {(10, 20), (20, 30), (30, 10)}
Explanation:
1. Not Reflexive: A relation is reflexive if every element of the set is related to itself. In this case, the relation R does not include any pairs where an element is related to itself, such as (10, 10), (20, 20), or (30, 30). Therefore, it is not reflexive.
2. Not Transitive: A relation is transitive if whenever (a, b) and (b, c) are in the relation, then (a, c) must also be in the relation. In this case, the relation R includes (10, 20) and (20, 30), but it does not include (10, 30). Therefore, it is not transitive.
3. Antisymmetric: A relation is antisymmetric if for any distinct elements (a, b) and (b, a) in the relation, it implies that a = b. In this case, the relation R includes (10, 20) and (20, 10), but it does not satisfy a = b since 10 ≠ 20. Therefore, it is antisymmetric.
By selecting this specific relation R, we meet all three conditions simultaneously: not reflexive, not transitive, and antisymmetric.
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Related Questions
2nd one what is the size of angle b??
Answers
Answer:
64°
Step-by-step explanation:
Given:
A complete angle is 360 degrees
A complete angle is 360 degreesOne right angle (90 degrees)
A complete angle is 360 degreesOne right angle (90 degrees)An angle of 154 degrees
A complete angle is 360 degreesOne right angle (90 degrees)An angle of 154 degreesTwo cross angles that are equal
Find: ∠b - ?
.
First, let's find the size of the smaller cross angles:
180° - 154° = 26°
Since there's two of them, we have to multiply this number by 2:
26° × 2 = 52°
Now, we can find ∠b:
∠b = 360° - 90° - 154° - 52° = 64°
A car rental company charges $56 per day plus $0.30 per mile driven. John paid $86 after renting a car for one day. What equation should he use to find x, the number of miles he drove?
Answers
Answer:
x + 56 = 86
Step-by-step explanation:
The study of calculus is the study of change. It offers a framework for modeling dynamic systems and a method for determining the models' predictions.
Given A car rental company charges $56 per day plus $0.30 per mile driven. Since john paid 86$ after renting a car for one day. from the equation we created.
Total charges(in $) = 56 * Day + 0.30 * x(in miles)
86 = 56 * 1 + 0.30 x
x = 100miles.
Therefore john drove 100 miles.
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ou need to buy some chicken for dinner tonight. you found an ad showing that the store across town has it on sale for $3.09 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.29 a pound. is it worth the extra drive? first, determine what information you need to answer this question, then click here to display that info (along with other info). how much chicken will you be buying? 3 pounds how much far are the two stores? my neighborhood store is 2.3 miles away, and takes about 7 minutes. the store across town is 8.4 miles away, and takes about 22 minutes. how kind of mileage does your car get? it averages about 23 miles per gallon in the city. how many gallons does your car hold? about 14 gallons how much is gas? about $3.87/gallon right now. going to the close store is cheaper going to the further store is cheaper the cheaper option saves you $ give your answer to the nearest cent.
Answers
1) $9.27 (far store), $9.87 (near store)
2) $0.169 per mile
3) 4.6 miles , 16.8 miles
4) $0.78, $2.84
5) $10.05 to the far store, $12.71 to the near store
What is Cost?
A mathematical formula known as the cost function is used to graph how production costs will change depending on the output level. To put it another way, it calculates the overall cost of production based on the quantity that is produced.
1) Let's compare chicken costs:
$3.09 * 3 = $9.27 (far store)
$3.29 * 3 = $9.87 (near store)
2) Now let's look at how much it costs to travel in your car:
\(\frac{3.87}{23} = 0.169\ per \ mile\)
= $0.169 per mile.
3) Next, let's look how much it costs to travel to each store from the gas used. Multiply by 2 because you not only have to drive there, but also back home for the round trip:
2.3 miles * 2 = 4.6 miles
8.4 miles * 2 = 16.8 miles
4) Now to find the cost of gas for the respective trips:
$0.169 * 4.6 = $0.78
$0.169 * 16.8 = $2.84
5) We can just eyeball it from here that it's not worth it to travel, but for completion's sake, let's add the gas and chicken costs together:
$9.27 + $0.78 = $10.05 to the far store
$9.87 + $2.84 = $12.71 to the near store
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Find the slope and y-intercept of the graph of each linear function.
A. y = 1/2x + 10
B. y = -4x - 3
Answers
Answer:
see below
Step-by-step explanation:
These are written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
A. y = 1/2x + 10
The slope is 1/2 and the y intercept is 10
B. y = -4x - 3
The slope is -4 and the y intercept is -3
At a university, 10% of students smoke. Calculate the expected number of smokers in a random sample of 150 students from this university.
Answers
The expected number of smokers in a random sample of 150 students from this university is 15.
To calculate the expected number of smokers in a random sample of 150 students at a university where 10% of students smoke, you simply multiply the total number of students in the sample by the percentage of students who smoke:
Expected number of smokers = Total number of students x Percentage of smokers
= 150 students x 10%
= 150 x 0.10
= 15
So, if we know that 10% of students smoke at this university, and we have a random sample of 150 students, we can calculate the expected number of smokers as follows:
Expected number of smokers = 150 x 0.10 = 15
Therefore, we can expect that there will be approximately 15 smokers in a random sample of 150 students from this university.
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What is 20% written as a decimal?
A 2.0
B
0.2
C 0.002
2,000
Answers
Answer:
Step-by-step explanation:
20% written as a decimal is 0.2
answer:
Step-by-step explanation:
b. 0.2
came here for points
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Graph y−5=−2/3(x+9) using the point and slope given in the equation.
Use the line tool and select two points on the line.
(There is a graph with all 4 quadrants and the values go up to 10 for both x and y)
Answers
Answer:
Well, I don't know how to graph it for you, but the slope is -2/3 and the point is (-9, 5). So, when you graph it, from the point (-9, 5), you can go 3 units to the right and 2 units down.
Write the equation of the line passing through the points (-1, 2) and (3, 4)
Answers
verify on desmos, if u want to make sure.
vẽ tam giác ABC biết BC=3cm góc A=35 độ góc B=65 độ
Answers
vẽ tam giác ABC biết BC=3cm góc A=35 độ góc B=65 độ
does anyone go to primavera
Answers
Answer:
hell ya I do if you mean primavera online highschool
Step-by-step explanation:
A rental car company charges $51 per day to rent a car and $0.14 for every mile driven. Damian wants to rent a car, knowing that: He plans to drive 250 miles. He has at most $290 to spend. Use the drop-down menu below to write an inequality representing dd, the total number of days Damian can rent the car while staying within his budget.
Answers
Answer: Damian can rent the car for 5 days.
Step-by-step explanation:
Money for 250 miles driven - 0.14*250= 35
Day 1 - 35+51= 86
Day 2 - 86+51= 137
Day 3 - 137+51= 188
Day 4 - 188+51= 239
Day 5 - 239+51= $290
1 and (-1,-4) y-intercept
Answers
The graph's intersection with the x-axis is known as the x-intercept. The graph's intersection with the y-axis is known as the y-intercept.The y-intercept is (0,-4).
what is X-intercept and Y intercept?To find Y intercept substitute x=0;
here X interept is (1,-1)
Y intercept (0,-4)
The x- and y-intercept visual concept is quite straightforward. Where the graph crosses the x-axis is known as the x-intercept, and the y-intercept is where the graph crosses the y-axis. A line's X-intercept provides information about the point where the x-axis is crossed.In a similar manner, the line's y-intercept represents the location at which the y-axis is crossed. In a given equation, only one intercept can be determined at once.The point at which a line crosses the x axis is known as the line's x-intercept. (i.e., in the case where y = 0) X interept=(x,0)The point at which a line crosses the y axis is known as the line's y-intercept. (i.e. in the case where x = 0) Y interept =(0,y)To learn more about X-intercept and Y intercept refer to:
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Hi, if it's possible to answer this now, Thank you so much. If you don't know the answer, that's ok :D
Answers
Answer:
It is B
Step-by-step explanation:
Since its 12 trillion miles we know that the power of 10 has to be 12. We also know to move decimals forward we need a positive power. Therefore the answer is B) \(1.2 * 10^{12}\)
Hope it helps!!!
I know 6x + 64 = 90 but i doesn’t know what the value of x
Answers
Answer:
x = 4 1/3
Step-by-step explanation:
To solve the equation 6x + 64 = 90, we must isolate the variable.
6x + 64 = 90
- 64 - 64
6x = 26
/ 6 / 6
x = 4 1/3
Answer:
4.3333333 on going so a stop will be 4.3
Step-by-step explanation:
the total 90, minus 64 will give you 26, the divide 26 by 6 which will give you 4.33333
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
Answers
Answer:
The probability mass function of X is:
\(p_{X}(x)={n\choose x}(p)^{x}(1-p)^{n-x};\ x=0,1,2,...n\)
Step-by-step explanation:
A Binomial experiment has the following properties:
• There are a fixed number of trials (n).
• Each trial are independent of the others.
• Each trial has only two outcomes: Success and Failure
• Each trial has the same probability of success (p).
If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.
Then the probability mass function of X is known as binomial probability distribution.
The probability mass function of X is:
\(p_{X}(x)={n\choose x}(p)^{x}(1-p)^{n-x};\ x=0,1,2,...n\)
The probability of a student spending time reading is 0.59, and the probability of a student doing well on an exam and spending time reading is 0.58. What is the probability of a student doing well on an exam given that the student spends time reading
Answers
The probability of a student doing well on an exam given that they spend time reading is approximately 0.983 or 98.3%.
To calculate the probability of a student doing well on an exam given that the student spends time reading, we need to use conditional probability.
Let's denote:
P(R) as the probability of a student spending time reading (P(R) = 0.59),
P(E) as the probability of a student doing well on an exam (P(E)),
P(E|R) as the probability of a student doing well on an exam given that they spend time reading (P(E|R) = 0.58).
The formula for conditional probability is:
P(E|R) = P(E and R) / P(R).
Given that P(E and R) = 0.58 (the probability of a student doing well on an exam and spending time reading) and P(R) = 0.59 (the probability of a student spending time reading), we can substitute these values into the formula:
P(E|R) = 0.58 / 0.59 = 0.983.
Therefore, the probability of a student doing well on an exam given that the student spends time reading is approximately 0.983 or 98.3%.
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Is rotating a congruence transformation?
Answers
Yes , rotating is a congruence transformation.
What is a congruence transformation?
A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.
Main body:
A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.
Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.
Hence ,rotating is a congruence transformation.
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Passing through (3, -3) and perpendicular to y=3x+5
Answers
Answer:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to y=3x−5. y=−13x−2
Step-by-step explanation:
t is known that a batch of toys produced at a certain factory in a day has a defect rate of 1%. suppose the quality inspectors randomly inspect 500 toys from the batch and calculate the proportion of defective toys, what will the the sampling distribution look like? the sampling distribution would be centered around , with a standard deviation of .
Answers
Therefore, the sampling distribution will be centered around 0.01, with a standard deviation of 0.0098.
What will the the sampling distribution look like?In a random sample of 500 toys from the manufacturer batch, the fraction of defective toys will have a sampling distribution that is roughly normal.
The population proportion of defective toys will be used as the sampling distribution's mean, which is 1% or 0.01. This is thus because a proportion of the sample is a fair estimate of a proportion of the population.
The following formula can be used to determine the standard error, also known as the standard deviation, of the sample distribution:
SE is equal to sqrt[(p*(1-p))/n]
where n is the sample size, 500, and p is the population proportion of faulty toys, which is 0.01.
These values are substituted into the formula to produce:
SE is equal to sqrt[(0.01*(1-0.01))/500] = 0.0098
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Please help I really need this tysm to who answers this.
Answers
HELP ASAP PLSSSSS SRRYY I JUST NEED ANSWER RNN:(
Answers
Answer:
# 1 - slope = 1/2
# 2 - slope = -5/3
# 5 - slope = 5/3
Step-by-step explanation:
going from where the point crosses at the y-axis it goes up 1 over 2 times
going from where the point crosses the y-axis it goes down 5 over 3
y_2 - y_1 / x_2 - x_1
5 - 0 = 5
4 - 1 = 3
Need help thank you very much
Answers
Answer:
8×8×8×8×8= 32,768
10×10×10= 1,000
Answer:
8x8x8x8x8=32768
Step-by-step explanation:
10x10x10=1000
whats 1/2 mineus 1/3
Answers
Answer:1/2 - 1/3 = 1/6
Step-by-step explanation:
Answer: 1/6 or 0.16
Step-by-step explanation: hope this helps!
a small bus interchange has 2 feeder services that start simultaneously at 9 am. bus number 801 leaves the interchange at 15-min intervals, while bus number 802 leaves at 20- min intervals. on a particular day, how many times did both services leave together from 9 am to 12 noon inclusive?
Answers
The number of times both services left the interchange together from 9am to 12 noon is 0.
Let's call the number of 15-minute intervals that have passed since 9 am "t".
So, the time that bus number 801 leaves the interchange after t intervals is 9am + 15t minutes.
Similarly, the time that bus number 802 leaves the interchange after t intervals is 9 am + 20t minutes.
For both services to leave the interchange at the same time, the number of 15-minute intervals that have passed since 9 am must be the same for both buses.
In other words, 15t must equal 20t.
Dividing both sides of this equation by 5, we get 3t = 4t.
This equation has no solution, which means that bus number 801 and bus number 802 never leave the interchange at the same time from 9am to 12 noon.
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Help please! I will mark you Brainliest if your answer is correct
Answers
Answer:
17. x=11 18. x=18
Step-by-step explanation:
For 17, 14x-25=129, add 25 to 129 to get 154, then divide 154 by 14x to get x=11. The conditional for 17. would be "If J║K then alternate interior angles are congruent.
For 18. 2x-8+9x-10=180, combine like terms to get 11x - 18 =180, add 18 to 180 to get 198 than divide 198 by 11x and get x = 18. Converse statement would be, "If J║K then consecutive interior angles are supplementary.
suppose that s is a nonempty set of real numbers that is bounded. prove that infs~sups.
Answers
It is given that a set of real numbers s is non-empty and bounded. The objective is to prove that inf s ≤ sup s. This statement can be justified as below.
Firstly, as per the definition of bounded set, it is known that the set s has both lower and upper bounds. Thus, the infimum and supremum of s exist and are denoted as inf s and sup s, respectively.
Since s is non-empty and bounded, it can be observed that every element of the set s is greater than or equal to inf s and less than or equal to sup s.
Therefore, inf s is the greatest lower bound of s and sup s is the least upper bound of s, implying that inf s ≤ sup s. Hence, it is proven that inf s ≤ sup s for a non-empty set s of real numbers that is bounded.
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Can anyone help me with this math equation!
Answers
Answer:
about 0.3
Step-by-step explanation:
8/9 is about 0.89
0.89/3 = about 0.3
: A box contains 512 grams of cereal. One serving of cereal is 56 grams. How many servings of cereal does the box contain? A. 9 1/4 B. 9 1/8 C. 9 8/56 D. 9 8/512
Answers
Answer:
C. 9 8/56
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Box contain = 512 grams
One serving = 56 gram
So, we can calculate the number of serving by using following formula,
Number of serving = Box contain ÷ One serving
By putting the value, we get
Number of serving = 512 ÷ 56
= 9.14 or 9 8/56
Evaluate the following: 18 + 3 |6 - 25| - 11
Answers
Answer:
29
Step-by-step explanation:
18+3|6-25|-11
21+19-11
29
5/16=x/64 what is x.
Answers
Answer:
5/16=x/64
Step-by-step explanation:
the x is 1280 that is the answer
Answer:
20 even though its not an answer option?
Step-by-step explanation:
It should be since 16x4=64 5x4=20