Explain why the relation R on 10, 1, 6} given by R = {(0, 0), (1, 1), (6, 6), (0, 1), (1,0), (1, 6), (6, 1)} is not an equivalence relation. Be specific. The relation is not or example, 0 R 1, 1 R6, but 0 R Select reflexive symmetric transitive
Answers
The given relation is not an equivalence relation.
To show that a relation is an equivalence relation, it must satisfy three properties: reflexive, symmetric, and transitive.
Reflexive property: Every element should be related to itself. In this relation, we have (0, 0), (1, 1), and (6, 6), so the reflexive property holds.
Symmetric property: If (a, b) belongs to R, then (b, a) must also belong to R. Here, we have (0, 1), (1, 0), (1, 6), and (6, 1), which satisfy the symmetric property.
Transitive property: If (a, b) and (b, c) belong to R, then (a, c) must also belong to R. In this relation, we have (0, 1) and (1, 6), which implies (0, 6) should belong to R for the transitive property to hold. However, (0, 6) is not part of the relation R, so the transitive property is violated.
Therefore, the given relation is not an equivalence relation.
To learn more about property, refer below:
https://brainly.com/question/29528698
#SPJ11
Related Questions
Help with math question please
Answers
what is the sum of + and -
Answers
Answer:
Step-by-step explanation:
The sum of + and - is -
Hope this helps you
Find the center and radius of the following circle. Then graph the circle.(×+4)2+y2=7
Answers
Given:
Equation of a circle
\((x+4)^2+y^2=7\)Required:
Find the center and radius of the circle. Then graph of circle.
Explanation:
We have a standard equation of circle
\((x-h)^2+(y-k)^2=r^2\)Whose radius is (h, k) and radius r.
We have equation of a circle
\((x+4)^2+y^2=7\)Now, we will compare with standard equation of a circle
\(We\text{ will get center\lparen-4, 0\rparen and radius }\sqrt{7}.\)Graph of circle is
Answer:
Hence, this is the answer.
The bill for lunch was $7. The sales tax in dallas , Texas , is 8. 25%. If you have $9. 50 , what is the maximum amount you can give for a tip and still cover the food bill and sales tax ? About what percent of the food bill would this tip be ?explain
Answers
Step-by-step explanation:
7 dollars + .0825 tax = 7 .58
leaving $1.92 max tip ( out of 9.50 to spend)
( this is a 27% tip on your purchase....more than adequate)
Factor this polynomial completely.
6x2 + 7x - 20
Answers
(2x + 5) x ( 3x -4)
move the numbers to the lines to appear in order from least to greatest.
_,_,_,_,_
|-2/3| , |0.8| , 0.75 , 1/4 , -0.3
Answers
A quadrilateral is a polygon with four sides and four angles. The sum of the angles equals 360 degrees. A trapezoid and a rhombus are both quadrilaterals. Which statement is true?
A quadrilateral is a rhombus.
A trapezoid is an example of a rhombus.
the sum of the angles of a trapezoid equals 360 degrees.
All figures whose angles have a sum of 360 degrees are trapezoids.
Answers
Answer:
The sum of the angles of a trapezoid is 360 degrees.
solve 9-3(x+4)=2(x-3)-8
A)3
B)2.5
C)-2.5
D)-4
Answers
Answer:
x=11/5, or x=2.2.
Step-by-step explanation:
9-3(x+4)=2(x-3)-8
9-3x-12=2x-6-8
9-12-3x=2x-14
-3-3x=2x-14
-3-3x-2x=-14
-3-5x=-14
5x=-3-(-14)
5x=-3+14
5x=11
x=11/5
x=2.2
Please help!! Picture is provided
Quad. ABCD is a trapezoid.
XY is the median
XY = 12; AB=16
Find DC
Answers
Answer:
DC = 8
Step-by-step explanation:
The median is half the sum of the parallel bases, that is
\(\frac{AB+DC}{2}\) = XY , substitute values
\(\frac{16+DC}{2}\) = 12 ( multiply both sides by 2 to clear the fraction )
16 + DC = 24 ( subtract 16 from both sides )
DC = 8
Answer:
DC = 8
Step-by-step explanation:
The median XY of the trapezoid ABCD is half or the sum of AB and DC.
XY = 1/2 ( AB + DC)
We need to find out DC so we can rewrite this equation isolating DC
XY = (1/2)(AB+DC), multiply both sides by 2
2XY = AB + DC, subtract from both sides AB
2XY - AB = DC, now substitute the given AB = 16 and XY = 12
2* 12 - 16 = DC , using the order of operations rules we multiply first
24 -16 = DC, subtract
8 = DC
Scientists often use a process called carbon dating to estimate the age of archaeological finds. The process measures the amount of carbon-14, a: radioactive isotope with a halfflife of 5,730 years. If a sample of wood from an ancient artifact had 20 grams of carbon-14 initially, the amount remaining, in grams, is given by A(t)=20(1/2) v/S,730 where tis the number of years since the tree died. How many grams would be present after 5,730 years? Select one: a. 40 g
b. 0.27 g
c. 5 g
d. 109
Answers
After 5,730 years, 10 grams of carbon-14 would be present.
Scientists often use a process called carbon dating to estimate the age of archaeological finds. The process measures the amount of carbon-14, a: radioactive isotope with a half life of 5,730 years. If a sample of wood from an ancient artifact had 20 grams of carbon-14 initially, the amount remaining, in grams, is given by :
A(t)=20(1/2) ^ (t/5,730)
Substituting t = 5,730 in the given equation, we get:
A(5,730) = 20(1/2)^(5,730/5,730)
Simplifying, we get:
A(5,730) = 20(1/2)^1
A(5,730) = 20(1/2)
A(5,730) = 10
Hence, after 5,730 years, 10 grams of carbon-14 would be present.
To learn more about carbon dating visit : https://brainly.com/question/15673495
#SPJ11
2. Solve the following difference equations: (a) \( x_{t+1}=\frac{1}{2} x_{t}+3 \) (b) \( x_{t+1}=-3 x_{t}+4 \)
Answers
(a) ( x_{t+1}=\frac{1}{2} x_{t}+3 ), the solution to this difference equation is x_t = 2^t + 3, The difference equations in this problem are both linear difference equations with constant coefficients.
This can be found by solving the equation recursively. For example, the first few terms of the solution are
t | x_t
--- | ---
0 | 3
1 | 7
2 | 15
3 | 31
The general term of the solution can be found by noting that
x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3
(b) ( x_{t+1}=-3 x_{t}+4 )
The solution to this difference equation is
x_t = 4 \cdot \left( \frac{1}{3} \right)^t + 4
This can be found by solving the equation recursively. For example, the first few terms of the solution are
t | x_t
--- | ---
0 | 4
1 | 5
2 | 2
3 | 1
The general term of the solution can be found by noting that
x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4
The difference equations in this problem are both linear difference equations with constant coefficients. This means that they can be solved using a technique called back substitution.
Back substitution involves solving the equation recursively, starting with the last term and working backwards to the first term.
In the first problem, the equation can be solved recursively as follows:
x_{t+1} = \frac{1}{2} x_t + 3
x_t = \frac{1}{2} x_{t-1} + 3
x_{t-1} = \frac{1}{2} x_{t-2} + 3
...
x_0 = \frac{1}{2} x_{-1} + 3
The general term of the solution can be found by noting that
x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3
The second problem can be solved recursively as follows:
x_{t+1} = -3 x_t + 4
x_t = -3 x_{t-1} + 4
x_{t-1} = -3 x_{t-2} + 4
...
x_0 = -3 x_{-1} + 4
The general term of the solution can be found by noting that
x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4
To know more about coefficient click here
brainly.com/question/30524977
#SPJ11
how to write equation of the line that has a slope of –8 and crosses the y–axis at (0, 2) in Slope–Intercept Form.
Answers
Answer: \(y=-8x+2\)
Step-by-step explanation:
The equation of the line with slope \(m\) and \(y\)-intercept \(b\) in slope-intercept form is \(y=mx+b\).
Write 2 expressions that canbe used to find the value of x.
Answers
The Solution.
By Trigonometrical Ratios, we have,
SOH, CAH, TOA
Where S
Where in the case at hand,
H = 11
To find the value of x in the given problem,
Taking 25 degrees as our angle of interest, we have,
\(\begin{gathered} \cos 25=\frac{Adj}{Hyp}=\frac{x}{11} \\ \\ \cos 25=\frac{x}{11} \\ \text{Cross multiplying, we get} \\ x=11\cos 25 \end{gathered}\)One of the required expressions is:
\(x=11\cos 25^o\)Similarly, taking 65 degrees as the angle of interest, we have
\(\begin{gathered} \sin 65=\frac{opp}{Hyp}=\frac{x}{11} \\ \\ \sin 65=\frac{x}{11} \\ \text{Cross multiplying, we get} \\ x=11\sin 65 \end{gathered}\)The other required expression for finding x is:
\(x=11\sin 65^o\)The correct answers are;
x = 11 sin 65 degrees
x = 11 cos25 degrees
Can you please help with solving and listing all steps The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged,the risk of heart problems is increased. The paper"Left a trial size increases with body mass index in children"described a study in which left atrial size was measured for a large number of children age 5 to 15 years. Based on this data,the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 28. 4 mm and a standard deviation of 3. 5 mm. For healthy children,what is the value for which only about 5% have smaller atrial diameter?
Answers
The value for which only about 5% of healthy children have a smaller left atrial diameter is approximately 22.6 mm.
The left atrial diameter of healthy children is assumed to be approximately normally distributed with a mean of 28.4 mm and a standard deviation of 3.5 mm. We need to find the left atrial diameter for which only 5% of the healthy children have a smaller atrial diameter.
We will use the Z-score formula to find the Z-score value. The Z-score formula is:
Z = (x - μ) / σ
where x is the observation, μ is the population mean, and σ is the population standard deviation. Substituting the given values, we get:
Z = (x - 28.4) / 3.5
To find the left atrial diameter for which only 5% of the healthy children have a smaller diameter, we need to find the Z-score such that the area under the standard normal distribution curve to the left of the Z-score is 0.05. This can be done using a standard normal distribution table or a calculator that has a normal distribution function.
Using a standard normal distribution table, we find that the Z-score for an area of 0.05 to the left is -1.645 (approximately).
Substituting Z = -1.645 into the Z-score formula above and solving for x, we get:
-1.645 = (x - 28.4) / 3.5
Multiplying both sides by 3.5, we get:
-5.7675 = x - 28.4
Adding 28.4 to both sides, we get:
x = 22.6325
Learn more about atrial diameter here :-
https://brainly.com/question/30289853
#SPJ11
Compute Δy and dy for the given values of x and dx = Δx.
Compute Δy and dy for the given values of x and dx = Δx.
y = x2 − 6x, x = 5, Δx = 0.5
Answers
Answer:
∆y = 2.25dy = 2.0Step-by-step explanation:
You want values of ∆y and dy for y = x² -6x and x = 5, ∆x = dx = 0.5.
DyThe value of dy is found by differentiating the function.
y = x² -6x
dy = (2x -6)dx
For x=5, dx=0.5, this is ...
dy = (2·5 -6)(0.5) = (4)(0.5)
dy = 2
∆yThe value of ∆y is the function difference ...
∆y = f(x +∆x) -f(x) . . . . . . . where y = f(x) = x² -6x
∆y = (5.5² -6(5.5)) -(5² -6·5)
∆y = (30.25 -33) -(25 -30) = -2.75 +5
∆y = 2.25
__
Additional comment
On the attached graph, ∆y is the difference between function values:
∆y = -2.75 -(-5) = 2.25
and dy is the difference between the linearized function value and the function value:
dy = -3 -(-5) = 2.00
<95141404393>
Larry Landlord changed the terms of the rental agreement of his tenant Telly without telling her. The changes most notably included doubling the monthly rent payment. This change to the contract is considered a(n) _____ and allows Telly to be discharged from the contract.
Answers
The change to the rental agreement made by Larry Landlord without informing Telly is considered a breach of contract, specifically a material breach, which allows Telly to be discharged from the contract.
When a party to a contract makes a significant change to the terms of the agreement without the consent or knowledge of the other party, it is generally considered a breach of contract. In this case, Larry Landlord altered the rental agreement by doubling the monthly rent payment without informing Telly. Such a change is considered a material breach, as it substantially affects the terms of the contract and the obligations of both parties.
As a result, Telly is entitled to be discharged from the contract, meaning she is no longer bound by its terms and obligations. She may seek legal remedies or negotiate a resolution based on the breach.
Learn more about breach here:
https://brainly.com/question/30721152
#SPJ11
no links pls help
The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?
A.
2(5/2w) + w
B.
5/2w + w
C.
3w + 10/2
D.
6w + 5
Answers
\(\text{Given that,}\\\\\text{Width =w}, \\\\\text{Length,}~ l = \dfrac 52 +2w\\\\\text{Perimeter of rectangle}\\\\ =2( l+w)\\\\=2\left(\dfrac 52 + 2w +w\right)\\\\\\=2\left(\dfrac 52 +3w\right)\\\\\\=6w+5~~ \text{units}\)
All of the students at Union Academy must take a foreign language in high school. 5/8 of the
students take Spanish. 3/10 of the students take French. The remaining students take
Chinese. What fraction of the students take Chinese?
a— 1/40
b— 1/5
c— 3/40
d— 3/20
Answers
Answer:
b 1/5
Step-by-step explanation:
Find the height of the rectangular prism with a volume of 132.5cm³ and a base area of 25cm²
Answers
The height of the rectangular prism with a volume of 132.5cm³ and a base area of 25cm² is 5.3cm.
To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is V = lwh (where l is the length, w is the width, and h is the height).
We are given that the volume is 132.5cm³ and the base area is 25cm². We can use the base area to find the length and width of the prism.
Since the base area is lw = 25cm², we can choose any two factors of 25 to be the length and width. Let's say the length is 5cm and the width is 5cm.
Now we can use the formula for the volume to find the height:
V = lwh
132.5cm³ = (5cm)(5cm)(h)
132.5cm³ = 25cm²(h)
h = 132.5cm³/25cm²
h = 5.3cm
Therefore, the height of the rectangular prism is 5.3cm.
Learn more about volume here: https://brainly.com/question/23665595
#SPJ11
Find the following expression
Answers
Answer:
40/30
Step-by-step explanation:
\( \tan(c) = \frac{40}{30} = \frac{4}{3} \)
A radioactive substance has an initial mass of 475 grams and a half-life of 20 days. What equation is used to determine the number of days, x, required for the substance to decay to 63 grams?
Answers
The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60
To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:
N(t) = N₀ * (1/2)^(t/h)
Where:
N(t) is the remaining mass of the substance at time t
N₀ is the initial mass of the substance
t is the time elapsed
h is the half-life of the substance
In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:
63 = 475 * (1/2)^(x/20)
To solve for x, we can isolate the exponential term on one side of the equation:
(1/2)^(x/20) = 63/475
Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:
log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)
By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:
x/20 = log(base 1/2) (63/475)
Finally, we can solve for x by multiplying both sides of the equation by 20:
x = 20 * log(base 1/2) (63/475)
Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:
x ≈ 20 * 4.1802
x ≈ 83.60
For more such questions on equation visit:
https://brainly.com/question/22688504
#SPJ8
Sarah can text 91 words in 14 minutes. At
this rate, how many minutes would it take
her to text 65 words?
Answers
If Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes
Number of minutes to types 91 words = 14 minutes
Here we have to use the unitary method to solve the problem
Time taken to type 1 word = Number of minutes to types 91 words / 91
Substitute the values in the equation
= 14 / 91
= 2 / 13
Time taken to type 65 words = Time taken to type 1 word × 65
Substitute the values in the equation
= (2/13) × 65
= 10 minutes
Hence, if Sarah can text 91 words in 14 minutes, then at this rate she will type 65 words in 10 minutes
Learn more about unitary method here
brainly.com/question/22056199
#SPJ1
please help me
giving brainliest
Answers
Cheating on your test huh oooo I’m tellin:)
14
0.75(8b+4)−1=4b+140
Answers
Answer: b=6
Step-by-step explanation:
6b+3-1=4b+140
6b+2=4b+140
6b+2-2=4b+140-2
6b=4b+138
6b-4b=4b-4b+138
2b=138
2b/2=138/2
B=69
Bob’s soup uses 18 drops of chili oil for every 4 cups of chicken broth. Yvonne wants her soup to have a weaker chili flavor than Bob’s soup. Which mixture should Yvonne use? A 18 drops of chili oil for every 2 cups of chicken broth
B 18 drops of chili oil for every 5 cups of chicken broth
C 20 drops of chili oil for every 4 cups of chicken broth
D 22 drops of chili oil for every 4 cups of chicken broth
Answers
Answer:
Yvonne should pick mixture B which has a lesser concentration of chili oil.
Step-by-step explanation:
Bob's soup concentration = 18 drops / 4 cups = 9 drops / 2 cups = 4.5 drops/cup
A. 18 / 2 = 9 drops/cup which is a greater concentration
B. 18 / 5 = 3.6 drops/cup which is a lesser concentration
C. 20/ 4 = 5 drops/cup which is a greater concentration
D. 22/ 4 = 5.5 drops/cup which is a greater concentration
2) A group of students were surveyed about their opinions on Snowmobiles and
Skateboards. Some data is recorded below.
Likes
Skateboards
Do not like Skateboards
Likes
Snowmobiles
80
Do not like Snowmobiles
42
13
Q2.1) How many people would need to be in the like snowmobiles and do not like
skateboards" category to show no association between these two categories.
A2.1) Put how many people like snowmobiles and do not like skateboards here
Q2.2) Explain how you got your answer for question 2.1
AZ 2) Explain how you arrived at your answer using complete sentences and
be sure to include any calculation that you did
Answers
Answer:
so 109 people likes skateboard and 80 people like skateboard and 11 people dont
Step-by-step explanation:
80+11=122 122-13=109 so its 109
Choose all of the options below that are graphs of quadratic functions.
Answers
The graphs of quadratic functions are:
B, D, and F.
Which ones are graphs of quadratic functions?The graph of a quadratic function is a parabola. This is, a shape like an "U", such that the arms extend as it goes up/down.
From the given options, the ones that are parabolas are:
B: We can see a parabola that opens downwards.
C: We can see a parabola that opens upwards.
F: we can see a parabola that opens upwards.
So these 3 are the correct options.
Learn more about quadratic functions at:
https://brainly.com/question/1214333
#SPJ1
HELPPP PLSSS , geometry
Answers
Answer:
64
Step-by-step explanation:
Angle 1 and Angle 8 are alternate exterior angles since line x and line y are parallell and a transversal Z passes through it. Since they are alternate exterior angles they are congruent so 8 is 64
A relation that assigns to each element x from a set of inputs, or __________ , exactly one element y in a set of outputs, or ___________ , is called a
Answers
A relation that assigns to each element x from a set of inputs, or domain, exactly one element y in a set of outputs, or range, is called a function.
This is further explained below.
What is a function?Generally, A mathematical function from set X to set Y gives each element of X a unique value in Y. The set X is known as the function's domain and the set Y is its codomain. The original function was a simplification of the relationship between two variables.
In conclusion, A relation is said to be a function if it assigns precisely one element y from a set of outputs to each and every one of the domain's inputs.
Read more about the function
https://brainly.com/question/12431044
#SPJ1
the national center for health statistics has found that there is a 0.41% chance that an american citizen will die from falling. what is the probability that you will not die from a fall? (round to the nearest hundredth of a percent)
Answers
If there is a 0.41% chance that an American citizen will die from falling, then the probability that you will not die from a fall is 99.59%
The chances of an American citizen will die from falling = 0.41%
The probability is the ratio of number of favorable outcomes to the total number of outcomes
The equation will be
The probability = Number of favorable outcomes / Total number of outcomes
The probability that you will not die from a fall = 1 - The chances of an American citizen will die from falling
Substitute the values in the equation
The probability that you will not die from a fall = 1 - 0.41
= 99.59%
Therefore, the probability that you will not die from a fall is 99.59%
Learn more about probability here
brainly.com/question/11234923
#SPJ4