what is the degree sequence of the bipartite graph km,n where m and n are positive integers? explain your answer.
Answers
The degree sequence of a graph is the list of degrees of its vertices arranged in non-increasing order.
For a bipartite graph $K_{m,n}$ with $m$ vertices in the first partite set and $n$ vertices in the second partite set, every vertex in the first partite set is connected to all vertices in the second partite set and vice versa. Therefore, the degree of each vertex in the first partite set is $n$ and the degree of each vertex in the second partite set is $m$.
So, the degree sequence of the bipartite graph $K_{m,n}$ is $n,n,\ldots,n$ (repeated $m$ times) followed by $m,m,\ldots,m$ (repeated $n$ times). In other words, the degree sequence consists of two blocks, each of length $m+n$, where the first block contains the degree $n$ repeated $m$ times and the second block contains the degree $m$ repeated $n$ times.
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Related Questions
Is 9 11/13 bigger than 9.79
Answers
\(9\frac{11}{13}\) is bigger than 9.79
The mixed fraction = \(9\frac{11}{13}\)
The mixed fraction is the fraction that expressed with its quotient and remainder. The mixed fraction is the combination of a whole number and a simple fraction
Simple fraction is the fraction that has whole numbers as the numerator and denominator.
The decimal number is a number that has whole and the fractional parts are separated by a decimal point
First we have to convert the mixed fraction into simple fraction
\(9\frac{11}{13}\) = 128/13
Next we have to convert the simple fraction into decimal form
Divide 128 by 13
The result will be
128/13 = 9.85
Hence, \(9\frac{11}{13}\) is bigger than 9.79
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2.2
Jannie receives R150 pocket money per month. In the new year his mother decided to
(3)
increase his pocket in the ratio 6:5. Calculate Jannie's adjusted monthly pocket money.
Answers
Answer:
R180
Step-by-step explanation:
Adjusted income = (original pocket money x new ratio) / old ratio
( 6 x $150) / 5 = $180
For t(x) = 3x - 5, find the value of x
for which /(x) = 4.
Answers
T(4)=3x4-5
T(4)=7
Answer:7
Step-by-step explanation:
3x-5
replace x for 4
3(4)-5
=12-5
=7
Which 3 prime numbers multiply to make 455?
Answers
Which expression is equivalent to –2.8x – 6.3?
Answers
a precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance. what assumptions are necessary? does the guarantee seem reasonable?
Answers
As per the given confidence interval, the value of P is lees than significant.
Confidence interval:
In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.
Given,
A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.
Here we need to find the assumptions of the given situation,
From the given question we have identified the following,
Reading of instruments = 353, 351, 351, and 355.
Confidence interval = 90% = 0.09
Number of units = 2.
Based on these details, the standard deviation of this temple is 0.7.
So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.
Therefore, P value was less than significant.
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❖ Encuentren las áreas de los cinco primeros cuadrados de esta sucesión ¿Qué tipo de progresión es? ¿Cuál es el término general?
❖ Calculen la suma de las áreas de los infinitos cuadrados generados de esta forma.
Answers
Main Answer:The area of the first five squares in the sequence are: 1,4,9,16,25.This is a quadratic progression and the general term of the sequence is \(n^{2}\) ,where n is the term number.
The sum of the areas of the infinite squares generated by this sequence is infinte.
Supporting Question and Answer:
What is the formula for the sum of an infinite series of quadratic terms?
The formula for the sum of an infinite series of quadratic terms is ∑\(n^{2}\) =\(\frac{n(n+1)(2n+1)}{6}\) ,where ∑\(n^{2}\) represents the sum of the terms in the sequence,from n=1 to infinity.
Body of the Solution: The first five squares in the sequence are: \(1^{2} ,2^{2}, 3^{2}, 4^{2} ,5^{2}\)
And their corresponding areas are:
1,4,9,16,25
We can observe that this is a quadratic progression, since the difference between consecutive terms in the sequence increases by a constant amount of 2, indicating a quadratic relationship between the terms.
The general term of the sequence is \(n^{2}\) ,where n is the term number.
To calculate the sum of the areas of the infinte squares generated , we can use the formula for the sum of an infinite series of quadratic terms:
∑\(n^{2}\) =\(\frac{n(n+1)(2n+1)}{6}\) ,where ∑\(n^{2}\) represents the sum of the terms in the sequence,from n=1 to infinity.
Substituting n=∞ in the formula ,we get:
∑\(n^{2}\)= \(\lim_{n \to \infty} \frac{n(n+1)(2n+1)}{6}\)
Evaluting the limit,we get
∑\(n^{2}\)=∞
That is, the sum of the areas of the infinite squares generated by this sequence is infinte.
Final Answer: The area of the first five squares in the sequence are: 1,4,9,16,25.
This is a quadratic progression.
The general term of the sequence is \(n^{2}\) ,where n is the term number.
The sum of the areas of the infinite squares generated by this sequence is infinte.
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Alex had $3.63 more than Rick. Together they had $27.93. How much money did both Alex and Rick have?
Answers
Alex has $15.78 and Rick has $12.15 money.
According to the question,
We have the following information:
Alex had $3.63 more than Rick. Together they had $27.93.
Let's take the money Rick has to be $x.
Now, we have the following expression for the money Alex has:
3.63+x
Now, we have:
x+3.63+x = 27.93
2x+3.63 = 27.93
Subtracting 3.63 from both the sides:
2x = 27.93-3.63
2x = 24.3
Dividing by 2 on both the sides:
x = 24.3/2
x = $12.15
So, Rick has $12.15.
Now, the money Alex has:
3.63+12.15
$15.78
Hence, Alex has $15.78 and Rick has $12.15 money.
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PLEASE HELP ME ASAPPPP
Answers
Answer:
The answer is
90 degrees the first one is I don't know about the rest sorry
Step-by-step explanation:
Find the value of x. 69° to 38°
Answers
Answer:
What kind of shape is it? a triangle???
Step-by-step explanation:
please provide the shape so i can help you
recall that in problem 3 of the reading questions for section 2.1, you found that if f (x) = ln (x), then fâ(2) = ½ use this to find a formula for the tangent line to f(x) = ln(x) at x=2.
y=
Answers
The equation of the tangent line to f(x)=ln(x) at x=2 is given by y = 1/2x - ln(2).
To find the formula for the tangent line to f(x)=ln(x) at x=2, we first need to take the derivative of the function:
f'(x) = 1/x
At x=2, the derivative is:
f'(2) = 1/2
The equation of the tangent line at x=2 is given by:
y - f(2) = f'(2)(x - 2)
Substituting the values of f(2) and f'(2) gives:
y - ln(2) = 1/2(x - 2)
Simplifying this equation gives us the equation of the tangent line:
y = 1/2x - ln(2) + ln(2)
Therefore, the equation of the tangent line to f(x)=ln(x) at x=2 is given by y = 1/2x - ln(2).
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Let X1,. ,X5 be random integers chosen without replacement from the list {1,. , N }. Here N is an unknown parameter that we want to estimate. Let Y1,. , Y2 be the order statistics obtained from X1,. , X5, that is Y1 = min{X1,. , X5}, Y2 is the smallest of {X1,. , X5} excluding Y1, etc. That is Y1 < Y2 <. < Y5 is obtained by ordering X1,. , X5.
Now assume that
E(Y1) = E(Y2 −Y1) = E(Y3 −Y2) = E(Y4 −Y3) = E(Y5 −Y4) = N −E(Y5)+1. (1)
This is true but a little tedious to prove.
(a) Write
N = Y1 + (Y2 − Y1) + (Y3 − Y2) + (Y4 − Y3) + (Y5 − Y4) + (N − Y5 + 1) − 1
take expectations and use (1) to derive that N = 6E(Y1) − 1.
(b) Use (1) to derive that E(Y5) = 5E(Y1).
(c) Use (a) and (b) to derive that Nˆ = 6Y5 − 1 is an unbiased estimator of N 5
Remark: Nˆ is the MVUE (you do not have to prove this). By using this formula, statisticians reportedly estimated that the Germans produced 246 tanks per month between June 1940 and September 1942. At that time, standard intelligence estimates had believed the number was far, far higher, at around 1,400. After the war, the allies captured German production records, showing that the true number of tanks produced in those three years was 245 per month, almost exactly what the statisticians had calculated, and less than one fifth of what standard intelligence had thought likely.
Emboldened, the allies attacked the western front in 1944 and overcame the Panzers on their way to Berlin. See this link for more details
Answers
(a) Using the given formula, N = 6E(Y1) - 1 is derived. (b) Using (1) and the derived formula in part (a), E(Y5) = 5E(Y1) is obtained, and using both (a) and (b), Nˆ = 6Y5 - 1 is shown to be an unbiased estimator of N.
(a) Using the given formula and taking expectations, we get:
N = E(Y1) + E(Y2 - Y1) + E(Y3 - Y2) + E(Y4 - Y3) + E(Y5 - Y4) + E(N - Y5 + 1) - 1
Substituting E(Yi - Yi-1) = N - E(Y5) + 1, we get:
N = 6E(Y1) - E(Y5) - 1
Using (1), we can substitute E(Y5) = N - E(Y1) + 1, and we get:
N = 6E(Y1) - (N - E(Y1) + 1) - 1
Simplifying, we get:
N = 6E(Y1) - 6
Therefore, Nˆ = 6Y5 - 1 is an unbiased estimator of N.
(b) From (1), we know that:
E(Y5 - Y4) = N - E(Y5) + 1
Substituting E(Y4 - Y3) = N - E(Y5) + 1, and so on, we get:
E(Y5) = N - E(Y5) + 1 + N - E(Y5 - Y4) + 1 + N - E(Y4 - Y3) + 1 + N - E(Y3 - Y2) + 1 + N - E(Y2 - Y1) + 1
Simplifying, we get:
E(Y5) = 5N - (E(Y1) + E(Y2 - Y1) + E(Y3 - Y2) + E(Y4 - Y3) + E(Y5 - Y4))
Substituting E(Yi - Yi-1) = N - E(Y5) + 1, we get:
E(Y5) = 5N - (E(Y1) + 4(N - E(Y5) + 1))
Simplifying and rearranging, we get:
E(Y5) = 5E(Y1)
(c) Substituting the result from (b) into the estimator Nˆ = 6Y5 - 1, we get:
Nˆ = 30E(Y1) - 1
Since E(Y1) is an unbiased estimator of N, Nˆ is also an unbiased estimator of N.
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What are the domain and range of the step function below PLEASE HELP LEST TEST OF CLASS NEED ASAP ANSWER WILL GET 30 Brainly points
Answers
Answer:
I did the problem but it won't show sorry
When buying advertiing time on televiion or in magazine, advertier calculate the cot per thouand (CPM) people reached by the ad. If the cot of advertiing wa $100,000 and the reach or circulation wa 10,000,000 people, what would be the CPM? (Note: M i the Roman numeral for 1,000. )
Answers
If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.
Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.
The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.
Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:
CPM = ($100,000 / 10,000,000) × 1000 = $10.
So, the CPM is $10.
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how would the wheel have to be turned for the needle to lean on the outline section?
A. counter clockwise 90°.
B. clockwise 120
C. clockwise 180
D. Counter clockwise, 180
Answers
The correct answer is option A, counter clockwise 90°, for the needle to lean on the outline section, the wheel must be turned counter clockwise 90°. Any other turn of the wheel will not result in the needle leaning on the outline section.
What is counter clockwise?Counterclockwise is an adjective used to describe motion or rotation that is in the opposite direction of a clock's hands. For example, when a person swims in a pool, they may swim counterclockwise around the perimeter of the pool. This is the opposite direction of the way a clock's hands move. Counterclockwise rotation is also known as anti-clockwise rotation.
When an object is placed on a flat surface and the wheel is turned, it will rotate in the same direction as the motion of the wheel. If the needle is leaning on the outline section, the wheel must be turned counter clockwise 90°. This is because when the wheel is turned counter clockwise, the needle will be forced to move in the same direction and end up leaning on the outline section.
When the wheel is turned clockwise, the needle will move in the opposite direction and it will not end up leaning on the outline section. Therefore, a clockwise turn of 120° or 180° is not the correct answer. Similarly, turning the wheel counter clockwise by 180° is also not the correct answer. This is because the needle will end up pointing in the same direction it was pointing before the wheel was turned.
In conclusion, for the needle to lean on the outline section, the wheel must be turned counter clockwise 90°. Any other turn of the wheel will not result in the needle leaning on the outline section.
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Answer:
A. counter clockwise 90°.
Step-by-step explanation:
A dataset on 91 roller coasters lists the Duration of the ride in seconds in addition to the Drop height in feet for some of the coasters. One coaster, the "Tower of Terror," is unusual for having a large drop but a short ride. After setting it aside, a regression to predict Duration from Drop for the remaining 90 coasters has R^2 = 29.4%. Complete parts a through c a) What are the variable and units in this regression? The predictor variable is ____ in units of _____and the response variable is _____ in units of ____
b) What units does the slope have? - Feet per second - Feet - Seconds - Seconds per foot c) Is the slope probably positive or probably negative? Explain The slope is probably _____ because ______
Answers
a) The predictor variable is Drop in units of feet and the response variable is duration in units of seconds.
b) The units of the slope is seconds per foot.
c) The slope is probably negative because a taller drop height typically leads to a longer ride duration.
a) The predictor variable in this regression is Drop, which represents the drop height in feet of the roller coasters, and its units are feet. The response variable is Duration, which represents the duration of the ride in seconds, and its units are seconds.
b) The units of the slope in this regression are seconds per foot. This means that for every one unit increase in the drop height in feet, the duration of the ride increases or decreases by the value of the slope, measured in seconds per foot.
c) The slope is probably negative because a taller drop height typically leads to a longer ride duration, and the Tower of Terror coaster, with its unusually short duration despite a large drop height, has been removed from the analysis.
Therefore, the remaining 90 coasters in the dataset would likely exhibit a negative relationship between drop height and duration, meaning that as the drop height increases, the duration of the ride decreases.
The low R-squared value of 29.4% suggests that there is a lot of variability in the relationship between drop height and ride duration among the roller coasters in the dataset, but the negative slope indicates a generally decreasing trend.
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Find the maximum value of 3√xyz if x+y+z=1.
Answers
1/2
The maximum value of 3√xyz can be found by maximizing the expression when x+y+z=1.
Let x=a, y=b and z=1-a-b. Substitute these values into the expression to get: 3√(ab(1-a-b))
Take the derivative of the expression with respect to a and b, and set each equal to 0:
da/da: 3√ab(1-a-b)+ab(-1)=0
db/db: 3√ab(1-a-b)+ab(-1)=0
Solve each equation to get a=b=1/2, so the maximum value of 3√xyz when x+y+z=1 is the maximum value of 3√(1/8), which is 1/2. Therefore, the maximum value of 3√xyz when x+y+z=1 is 1/2.
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7(p + 3) + 9 = 5(p – 2) – 3p What is P
Answers
Answer:
p = -8
Step-by-step explanation:
Step 1: Write equation
7(p + 3) + 9 = 5(p - 2) - 3p
Step 2: Solve for p
Distribute: 7p + 21 + 9 = 5p - 10 - 3pCombine like terms: 7p + 30 = 2p - 10Subtract 2p on both sides: 5p + 30 = -10Subtract 30 on both sides: 5p = -40Divide both sides by 5: p = -8Step 3: Check
Plug in x to verify it's a solution.
Substitute: 7(-8 + 3) + 9 = 5(-8 - 2) - 3(-8)Parenthesis: 7(-5) + 9 = 5(-10) + 24Multiply: -35 + 9 = -50 + 24Add: -26 = -26please solve! thank you so much.
Answers
A - Growth (25%)
B- Growth (75%)
C - Growth
D - Growth (100%)
E - Growth (99%)
What is a growth or decay function?An rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.
The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.
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4856cm=_________m
I will mark as brainlist
Answers
Answer:
48.56 m
Step-by-step explanation:
1 cm = 0.01 m
Or, if you want to change from cm to m. simply divide the cm by 100.
Thus,
4856 cm ÷ 100 = 48.56 m
PLZZZZZ HELPPPPPPPPPP
Answers
Find at least three different sequences beginning with the terms 3, 5, 7 whose terms are generated by a simple formula or rule.
Answers
Answer:
3 5,7,9,11,13,16,17 19,21,23,25,27,29
f(x) = 2x - 10 at x = -4
Answers
Answer:
-18
Step-by-step explanation:
2x-4 - 10
-8 - 10
-18
pleaseee help it's due tonight and i don't know what it wants and how to do it
Answers
Answer:
solve
Step-by-step explanation:
plus . minus and divide
Answer:
1- Let x = original price then
x - .20x = 48
x(1 - .20) = 48
x(.80) = 48
x = 48/.80
x = $60
2-Let "x" be the number of lessons.
240 - 15x = 0
240 = 15x
x = 16 lessons
3-divide equation by 2:
(2W-4) + W = 32
2W - 4 + W = 32
2W + W = 32 + 4
3W = 36
W = 36/3
W = 12 cm
Find the Length using L = 2W-4:
L = 2(12) - 4
L = 20 cm
Check: 2(20) + 2(12) = 64
4-P stands for the original price. The 90 stands for 90 %. Wendy paid 100-10, or 90 %.
Step-by-step explanation:
Density of rectangular blocks analysis Rectangular Block 1 Rectangular Block 2 Rectangular Block 3 Width (cm) Length (cm) 5.35 6.50 3.90 4.35 1.82 5.50 Height (cm) 1.80 1.70 1.82 Table view Mass (9) V
Answers
To calculate the density of the rectangular blocks, we would need the mass of each block in addition to the dimensions provided in the table view.
The given table provides the dimensions (width, length, and height) of three rectangular blocks, but it does not include the mass of each block. To calculate the density of a rectangular block, we need to know its mass and volume. The formula for density is:
Density = Mass / Volume
Without the mass values, it is not possible to calculate the density for each block. The mass of each block needs to be provided in order to perform the calculations.
The given information in the table view does not include the mass of the rectangular blocks. Therefore, we cannot calculate the density of the blocks based on the provided data. To determine the density, the mass of each block needs to be known.
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f(x)=5sinx+cosx then f ′
(x)=−5cosx−sinx Select one: True False
Answers
False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.
To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).
Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.
Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:
f'(x) = 5cos(x) - sin(x).
This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).
In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).
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You are playing Rock, Paper, Scissors against a friend How many possible outcomes
are there between the two of you? What are they?
Answers
Answer:
6 possible outcomes
Step-by-step explanation:
rock,rock
rock, paper
rock, scissors
paper, paper
paper, scissors
scissors, scissors
Answer:
9
Step-by-step explanation:
Rock and Rock, Rock and Paper, Rock and Scissor, Paper and Paper, Paper and Rock, Paper and Scissor, Scissor and Rock, Sciccor and Paper, and finally Scissor and Scissors. I assume that you can have Rock and Paper as well as Paper and Rock because it is a different person.
Are the lines parallel, perpendicular, or neither?
y = 7x +3
y = 1/7x - 5
Answers
Answer:
Neither (Answer)
Step-by-step explanation:
Comparing both the equations with slope-intercept form (y = mx + c), where 'm' is the (slope/gradient) and and 'c' is the (y-intercept).
If slopes are equal then the lines are parallelIf the product of slopes is equal to '-1' then lines are perpendicularOtherwise, lines are intersecting (Neither)Note: If the slopes are equal as well as the y-intercepts then they are same lines (overlapping) i.e lines are scaler multiple of each other.
Slope of line 1 = m1 = 7
slope of line 2 = m2 = 1/7
neither the slopes are equal nor the their product is equal to '-1'
What is the percentage equivalent to 21 over 70?
30%
35%
49%
92%
Answers
Answer:
The percentage equivalent of 21/70 can be found by dividing 21 by 70 and then multiplying by 100 to convert to a percentage.
In order to find a percentage just divide two numbers which the numerator divided by the denominator x 100 = to answer%
(21/70) x 100 = 30%
Therefore, the answer is 30%.
Find csc theta. with point (5,8) Answer in the format listed at the bottom of photo.
Answers
Answer:
√89 / 8
Step-by-step explanation:
r = hypotenuse = √(5² + 8²) = √89
csc θ = 1/sin θ
sin θ = opp/hyp = height / √89 = 8/ √89
csc θ = hyp / opp = 1 / (8/ √89) = √89 / 8