The directed graph of a relation r on a finite set a be used to R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric, then the R is equivalence relation and an order relation.
Let the relation R R R be asymmetric. A loop in the directed graph corresponds to an ordered pair of the form ( a , a ) (a , a) (a , a). By the definition of asymmetric, the relation R R R cannot contains any ordered pairs of the form ( a , a ) (a , a) (a , a) and thus the directed graph cannot contain any loops.
They are typically represented by labeled points or small circles. We connect vertex a to vertex b with an arrow, called an edge, going from vertex a to vertex b if and only if arb. This type of graph of a relation r is called a directed graph or digraph .
It is a set where either there are many components or only the beginning or ending are provided. By n(A), we refer to the total number of components, and if n(A) is a characteristic number, then the set is constrained.
Let A be finite non-empty set.
Then the exist relation R on A which is both equivalence and order relation.
Suppose A = {[tex]a_{1} , a_{2} , a_{3} , ...... a_{n} ,[/tex]}
And, R = { [tex](a_{1} ,a_{1}) , (a_{2} ,a_{2} ) ,(a_{3} ,a_{3} )........(a_{n} ,a_{n} )[/tex] }
R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric.
Then R is equivalence relation and an order relation.
Therefore,
The directed graph of a relation r on a finite set a be used to R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric, then the R is equivalence relation and an order relation.
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what is the linear regression equation? (round your answers to three decimal places.) estimated tip amount
The linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.
First, collect data by having participants record the total bill amount and the amount of tip they gave.Next, calculate the linear regression equation by plotting the data points on a scatter plot and fitting a line of best fit.Once the line of best fit has been determined, calculate the equation of the line using the slope-intercept form.Finally, round the values of the equation to three decimal places, and the linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.Learn more about linear regression equation: https://brainly.com/question/25987747
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it costs johnny $15 a month plus $1.50 per song to download music. this situation is represented by the expression 1.5x 15, where x is the number of songs downloaded. how much will it cost johnny to download 10 songs?
The cost of downloading 10 songs for Johnny is $30.
The cost of downloading music for Johnny can be represented by the expression 1.5x + 15, where x is the number of songs downloaded. To find the cost of downloading 10 songs, we can plug in x = 10 into the expression:
1.5 * 10 + 15 = 15 + 15 = 30
So, it will cost Johnny $30 to download 10 songs. This expression represents the total cost as the sum of a $30 $30 ($15 monthly fee) and a variable cost ($1.50 per song fee).
The fixed cost remains constant regardless of the number of songs downloaded, while the variable cost increases as more songs are downloaded.
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Write an equation for this line.
Answer: X=3
Step-by-step explanation: Since it’s a vertical line the Y value is 0 making the line x=3 bc it’s on the 3 for the x-axis
let u and a . is u in the plane in spanned by the columns of a why or why not
u in the plane is not spanned by the columns of A.
If u in the plane in spanned by the columns of A, then u can be obtained by the linear combination of the columns of A. That is
(4, -1, 4) = x(2, 0, 1) + y(5, 1, 2) + z(-1, -1, 0)
In matrix form we get
[tex]\left[\begin{array}{ccc}2&5&-1\\0&1&-1\\1&2&0\end{array}\right]\left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}4&-1&4\end{array}\right][/tex]
Determinant of matrix A is
= 2*1*0 + 5*-1*1 + -1*0*2 - -1*1*1 - 5*0*0 - 2*-1*2
= 0 - 5 + 0 + 1 + 0 + 4
= 0
Determinant of matrix A is 0, thus no solutions exist.
So u cannot be spanned by columns of A.
--The question is incomplete, answering to the question below--
"Let u = [tex]\left[\begin{array}{c}4&-1&4\end{array}\right][/tex] and A = [tex]\left[\begin{array}{ccc}2&5&-1\\0&1&-1\\1&2&0\end{array}\right][/tex] . Is u in the plane is spanned by the columns of A? why or why not?"
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Evaluate x + 2x - 4 if x = −4.
12
A.
B. 4
C. -8
D. -28
Answer:
C. - 8
Step-by-step explanation:
substitute - 4 for x value
-4 + (2×-4) - (-4)
= -4 + (-8) + 4
= -12 +4
= -8
Nelda baked two kinds of pasta in pans. Each pan was the same size. She sliced one pan of pasta into 4 equal pieces. She sliced the other pan into 10 equal pieces. How can the pans of pasta now be sliced so that both pans have the same-sized pieces? If Nelda has served 5 pieces from 1 pan so far, what fraction of 1 pan has she served?
The pans must be sliced in the following way:
Slice the first pan in 10 slices.Slice the second pan in 4 slices.B) 5 pieces are equivalent to the fraction 1/8 of the pan.
How can the pans of pasta now be sliced so that both pans have the same-sized pieces?The number of pieces in each pan will be equal to the product between the numbers of slices (assuming that the sets of slices are perpendicular)
So, if she wants to have pieces of the same size, she needs to:
Slice the first pan in 10 slices.
Slice the second pan in 4 slices.
Now both of these will have:
10*4 = 40 pieces.
B) There are 40 pieces in each pan, so if she served 5, the fraction is:
5/40 = 1/8
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PLEASE HELP!! I NEED A EXPLANATION TOO! please less than 5 mins
Answer:
i agree good job mate I'm not zooded while doing homework
Step-by-step explanation:
I didn't clear a then another then two more
consider the points a(0,3,−5), b(3,−5,0) and c(3,0,−5). find the exact distance from a to the line passing through b and c.
The distance from a to the line passing through b and c is 7/5.
To find the distance from a point to a line, you can use the cross product and the dot product.
First, find the vector pointing from a to b and the vector pointing from b to c:
u = b - a = (3, -5, 0) - (0, 3, -5) = (3, -8, 5)
v = c - b = (3, 0, -5) - (3, -5, 0) = (0, 5, -5)
Next, find the cross product of these two vectors, which gives a vector orthogonal to the plane defined by the line:
n = u x v = (-40, 0, 40)
Finally, find the dot product of n and a - b, which gives the magnitude of the projection of a - b onto n:
d = |n . (a - b)| / |n| = |(-40, 0, 40) . (-3, -8, -5)| / |(-40, 0, 40)| = 57 / √(40^2 + 40^2) = 57 / √1600 = 57 / 40 = 7/5
Therefore, the distance from a to the line passing through b and c is 7/5.
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What is the measure of the exterior angle at D when AD¯¯¯¯¯¯is extended?
Answer:
117
Step-by-step explanation:
B=D=63
=>the exterior angle at D = 180-63
Which angle has a vertex on the center of the circle and sides that are radii of that circle?
Answer:
central angle
Step-by-step explanation:
an angle with a vertex on the center of a circle and slides that are radii of that circle is called a central angle
Central angle has a vertex on the center of the circle and sides that are radii of that circle .
What does central angle mean?
A right angle, which has sides that are the radii of the circle, and a vertex that is at the center of the circle Given that it intercepts an arc with a length equal to the circle's radius, a central angle has radian measure [Math Processing Error].
Where can I find the center angle?
The angle that the arc at the center of a circle occupies is known as the central angle. The arms of the angle are created by the radius vectors. The formula for calculating a central angle is: Central Angle = Arc length(AB) / Radius(OA) = (s 360°) / 2r, where s denotes the length of the arc and r denotes the radius of the circle.
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The freezing point of water is 0^\circ\text{C}0
Answer:
For the first question:
A) -9.7 > -18.2
For the second:
A) The temperature is warmer in Minnesota than South Dakota.
Step-by-step explanation:
Hope it helps! =D
IMPORTANT!!!!! I'LL GIVE BRAINLIEST
A certain amount of two types of candy are mixed together. One candy is worth $1.05 a pound, one is worth $1.35 a pound. The mixture is worth $1.17 a pound. How much of each type is used to create 30 pounds of the mixture?
18 pounds of candy costing $1.05 and 12 pounds of candy costing $1.35 are needed to be mixed to get a 30 pounds of mixture costing $1.17
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
Let x represent the amount of candy costing $1.05, y represent the candy costing $1.35.
The mixture is worth $1.17 a pound and is about 30 pounds. Hence:
1.05x + 1.35x = 1.17(30) (1)
Also:
x + y = 30 (2)
From both equations:
x = 18, y = 12
18 pounds and 12 pounds of candy are needed to be mixed
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3/4 times 8 1/2 as a fraction
Answer: 3/4 * 1/2 = 3/8 = 0.375
hope this helpes
[tex] = \frac{3}{4} \times 8 \frac{1}{2} \\ [/tex]
[tex] = \frac{3}{4} \times \frac{8 \times 2 + 1}{2} \\ [/tex]
[tex] = \frac{3}{4} \times \frac{17}{2} \\ [/tex]
[tex] = \frac{51}{8} \\ [/tex]
The value of a computer is $1200. It loses 20% of its value every year. How much will the computer be worth after 4 years?
Answer:
After 4 years, the computer will be worth approximately $576. Since the computer loses 20% of its value each year, the total amount lost after 4 years is 80%. This means that the computer's original value of $1200 will be reduced to $576.
Step-by-step explanation:
A pet store had four cats to feed if they only had 1/9 of a bag of cat food and each cat got the same amount what fraction of the bag would each cat get
Answer:
If the pet store had 1/9 of a bag of cat food, and they want to divide it equally between 4 cats, then each cat would get 1/9 of the bag divided by 4.
So, each cat would get:
1/9 ÷ 4 = 1/9 * 1/4 = 1/36
So, each cat would get 1/36 of the bag of cat food.
Describe the pattern that you see. In your description, include the shapes that create the pattern. You can also mention colors. What is the first term (how does the pattern start)? How does the pattern change with each term? What would the next term in the sequence (pattern) be?
The day has come! It is time for you to buy your first car. At the car lot, you find the very car you have always wanted and it costs $4,100 after all taxes and fees. Since you have little credit history, your interest rate will be 10.50%. But good news—you are still able to get a car loan!
What will the loan balance be after 3 months if the interest is compounded monthly and you pay $88.13 each month?
According to the information, it can be inferred that the balance after 3 months is that we have made interest payments for $107.6 of interest and $264.39.
How to calculate the balance of interest and car loan payments?To calculate the payment balance for the car loan we must take into account the following information:
interest rate 10.50%Each mother we will pay $88.13Total loan $4,100According to the above, we must find how much the interest is equal to:
4,100 / 100 * 100.50 = 430.5So, we must divide the result in the 12 months of the year
430.5 / 12 = 35.8and later multiply it by the three months that are being asked.
35.8 * 3 = 107.4Additionally, we must calculate how much the installment payment would be.
88.13 * 3 = 264.39So we would pay 371.79 for the 3 months.
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For the vectors u = (-4,-1) and v= (1,3), express u as the sum u=p+n, where p is parallel to v and n is orthogonal to v. + 7 21 33 11 u=p+n= 10 10 10 10
For the given vectors the sum of u is (-44/10,-6/10).
Vectors are mathematical objects that have both magnitude and direction.
The projection of u onto v is equal to the dot product of u and the unit vector of v divided by the magnitude of v.
The unit vector of v can be found by dividing v by its magnitude. Once we have the unit vector, we can multiply it by the dot product and add it to the initial point of v to find p.
Since u = (-4,-1) and v = (1,3), the magnitude of v is √(1^2 + 3^2) = √10 and the unit vector of v is (1/√10, 3/√10).
The dot product of u and the unit vector of v is
=> (-4)(1/√10) + (-1)(3/√10)
=> -4/√10 - 3/√10.
Thus,
=> p = (-4/√10 - 3/√10)(1/√10, 3/√10) + (1,3)
=> p = (-4/10 - 3/10, -1/10 + 3/10) + (1,3)
=> p = (7/10 + 3/10, 2/10 + 3/10) = (10/10, 5/10).
To find n vector, we subtract p from u.
Finally,
=> n = u - p = (-4,-1) - (10/10, 5/10)
=> (-4 - 10/10, -1 - 5/10) = (-44/10,-6/10).
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What does a Right-Skewed Histogram Mean?
A right-skewed histogram has a peak that is left of center and a more gradual tapering to the right side of the graph. This is a unimodal data set, with the mode closer to the left of the graph and smaller than either the mean or the median.
Define Right-Skewed Histogram?A right-skewed histogram is one in which the majority of the data falls to the right of the graph's peak.The mean, median, and mode of a right-skewed histogram have a definite relationship, which can be written as mean > median > mode.The right side of a right-skewed distribution is longer than the left. Positive skew is another name for right skew. Skewness can be thought of as tails. A distribution's tail is the long, tapering end of the distribution.A "skewed right" distribution has the tail on the right side. Right skewed: The mean is greater than the median. Left skewed: The mean is less than the median.To learn more about Right-Skewed Histogram refer to:
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Which is equivalent to 64 superscript one-fourth
Answer:
Below
Step-by-step explanation:
this is the same as [tex]\sqrt[4]{64}[/tex] and is [tex]\sqrt[4]{16*4}[/tex] and this equals 2 [tex]\sqrt[4]{4}[/tex]
which is the best deal? why?
Step-by-step explanation:
12/10.1
16.85/13
21.61/15
The best way, in my opinion, is to divide each price by it's respective inches. Doing that you will see the cost per inch. the cheapest one is the best deal.
[tex]small = \frac{12}{10.1} = 1.19[/tex]
[tex]medium = \frac{16.85}{13} = 1.30[/tex]
[tex]large = \frac{21.61}{15} = 1.44[/tex]
Seeing these 3, the cheapest was $1.19, making the small pizza the best deal because you get the best price per inch
Find the following partial derivatives: Jif f(x,y) = 5000 10x 40y 3x2y5 Jif f(x,y) = Ty + T2xy
The first three terms are all 0 since they are constants. The last term is [tex]15x2y4[/tex]. Therefore, the partial derivative of J with respect to y is [tex]40 + 15x2y4.[/tex]
Partial Derivative of J with Respect to[tex]x: 50 - 6x2y5[/tex]
Partial Derivative of J with Respect to[tex]y: 40 + 15x2y4[/tex]
To find the partial derivatives of J with respect to x and y, we need to use the chain rule. The partial derivative of J with respect to x is the derivative of 5000 with respect to x plus the derivative of 10x with respect to x plus the derivative of 40y with respect to x plus the derivative of [tex]3x2y5[/tex] with respect to x. The first three terms are all 0 since they are constants. The last term is [tex]6x2y5[/tex]. Therefore, the partial derivative of J with respect to x is [tex]50 - 6x2y5[/tex]. The partial derivative of J with respect to y is the derivative of 5000 with respect to y plus the derivative of 10x with respect to y plus the derivative of 40y with respect to y plus the derivative of [tex]3x2y5[/tex] with respect to y. The first three terms are all 0 since they are constants. The last term is [tex]15x2y4.[/tex]Therefore, the partial derivative of J with respect to y is [tex]40 + 15x2y4[/tex].
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What is 15kg in lbs ?
Answer: 15kg is equivalent to 33.0693 or 33, for short.
Step-by-step explanation:
33.0693 kilograms, or 33, are equal to 15 kilograms.
How many kg means 1 pound?A pound is about equivalent to 0.45359237 kilograms. By dividing the specified pound value by 0.45359237, one can convert a pound to kilograms. Remember that 1 kg equals 2.2046 lbs when converting weights.
The weight of a kilogram (kg) is said to be 2.2 times that of a pound. Thus, 2.26 pounds are equal to one kilogram of mass. In light of this, we shall now examine some of the primary variations between the pound and the kilogram. A pound is an imperial unit used to measure bulk or weight.
A weight of 500 pounds exceeds a weight of 200 kilograms because 227 kilograms is greater than 200 kilograms.
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(Need help asap) Richie and Saul are conducting a survey on the most popular board games played by students at their high school. Richie interviews 25 boys from grades 9 through 12 and concludes that card games are the most popular among high school students. Saul speaks with 20 students, including girls and boys, from grades 9 through 12 and concludes that word games are the most popular among high school students. Whose generalization is valid? Why?
Answer: I’d say that Saul’s generalization is more valid because even though he interviewed less people, he interviewed girls as well as boys, and Richie only interviewed the boys.
Answer:Given that Saul spoke with both boys and females, his generalization is accurate
Step-by-step explanation:?A generalization is a kind of abstraction where the general traits of specific cases are articulated as overarching concepts or claims. Generalizations presuppose a domain or collection of elements, as well as one or more shared characteristics.Why is being general useful?Generalization is the capacity to do an action, engage in an activity, or display a behavior in a variety of situations, with a variety of people, and at a variety of times. Our ability to complete routine tasks in a variety of contexts and settings is due to the fact that we have "generalized" the necessary skills.
find the area of the region that is bounded above by the curve f(x)=(x 8)2 and the line g(x)=−x−2 and bounded below by the x-axis.
The area of the region bounded by f(x)=(x-8)^2, g(x)=-x-2 and the x-axis is the definite integral of f(x)-g(x) from -2 to 8.
The area of the region bounded by f(x)=(x-8)^2, g(x)=-x-2 and the x-axis is given by the definite integral of f(x)-g(x) from -2 to 8. First, expand f(x) and g(x) to get f(x)=x^2-16x+64 and g(x)=-x-2. Then, subtract g(x) from f(x) to get f(x)-g(x)=x^2-16x+66. This is the equation of the area of the region. To calculate the area, use the definite integral of f(x)-g(x) from -2 to 8. This is equivalent to the integral from -2 to 8 of x^2-16x+66 dx. After integrating, the area is given by the expression (x^3/3)-8x^2+66x from -2 to 8, which is equal to 1176/3 units^2. Therefore, the area of the region bounded by f(x), g(x) and the x-axis is 1176/3 units^2.
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Find the indicated measure.
Answer:
12: A = 40 and C = 32
13: A = 45 , C=72 and D=72
Step-by-step explanation:
Angles inscribed by the same arc are equal.
What is the standard form of (2,7) ; m =-4 ??
-Exploring Linear Equations in Two Variables
Answer:
4x + y = 15
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 4 , then
y = - 4x + c ← is the partial equation
to find c substitute (2, 7 ) into the partial equation
7 = - 4(2) + c = - 8 + c ( add 8 to both sides )
15 = c
y = - 4x + 15
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
then
y = - 4x + 15 ( add 4x to both sides )
4x + y = 15 ← in standard form
What is the 3 period moving average forecast for week 6?
7000 is the 3 period moving average forecast for week 6.
What is average forecast?Using a moving average, a data set's general trend may be determined. The sales volume from the company's historical data is the data set used in operations management. For predicting recent trends, this method is quite helpful. Simply said, it is the average across a range of times.
The most basic method for predicting is a simple moving average (SMA). The data from the previous 'n' periods are added up, and the sum is divided by 'n' to create a simple moving average. So the projection for the following period is based on the moving average value.
3-period weighted moving forecast for week 6:
= (Demand for Period 3 + Demand for Period 4 + Demand for Period 5) / 3 = (8000 + 7000 + 6000) / 3
= 7000
3-period weighted moving forecast for week 6 = 7000
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The complete question is as follows:
A triangle ha a 60 degree angle, and the two adjacent ide are 12 and 12 root 3. Find the radiu of a circle with the ame vertex a a center, if the arc inide the triangle divide it into two region of equal area
The radius of the circle with the same vertex is 6 and the height of the triangle is 10.39 and the area of the triangle is 62.34.
Since the arc divides the triangle into two regions of equal area, it follows that half of the circle's area is equal to the area of the triangle. The area of a triangle with sides 12 and 12√3 and a 60-degree angle can be found using the formula for the area of a triangle, which is 0.5bh.
The height of the triangle can be found using trigonometry, as the sine of 60 degrees is 0.8660. Thus, the height of the triangle is 10.39 and the area of the triangle is 62.34.
Since half of the circle's area is equal to the area of the triangle, the radius of the circle can be found by taking the square root of the area of the triangle and dividing it by pi. Thus, the radius of the circle is 6.
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A triangle has a 60-degree angle, and the two adjacent ide are 12 and 12 roots 3. Find the radius of a circle with the same vertex a center, if the arc inside the triangle divides it into two regions of equal area
What is 1 gallon equal to in Litres?
1 gallon equal to 3.785411784 liter.
What is gallon?The gallon is a unit of volume in imperial units and United States customary units. Three different versions are in current use:
The imperial gallon (imp gal), defined as 4.54609 litres, which is or was used in the United Kingdom, Ireland, Canada, Australia, New Zealand and some Caribbean countries.
The US gallon (US gal), defined as 3.785411784 L, (231 cubic inches) which is used in the US and some latin American and Caribbean countries.
The US dry gallon ("usdrygal"), defined as 1/8 US bushel (exactly 4.4.0388377086 L)
By using the above formula to convert US gallons to litres.
Solution: Inserting the value of a gallon in the above formula we will get:
Litre =1×3.785411784 =3.785411784
Hence 1 gallons are equal to 3.785411784 liter.
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