If Barry Bruin's proof that k-flow is NP-complete is indeed correct, it would have significant implications for the field of network flow. Specifically, it would imply that network flow problems are also NP-complete.
Network flow problems involve finding the maximum flow or minimum cut in a network. These problems are fundamental in various domains such as transportation, communication, and resource allocation.
NP-completeness, a property of computational problems, means that they belong to the class of the hardest problems in computer science. If network flow problems are proven to be NP-complete, it implies that finding optimal solutions for such problems is computationally intractable, even with efficient algorithms.
This result would have profound consequences for algorithm design and optimization, as it suggests that there is no known efficient algorithm to solve network flow problems in the general case.
Researchers would need to focus on developing approximation algorithms or heuristics to obtain suboptimal solutions within a reasonable amount of time.
It would also underscore the importance of considering alternative problem formulations or restrictions to make network flow problems more tractable in practice.
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PLEASE HELP. !!!!!!!!!
Answer:
Step-by-step explanation:
Remark
The law of chord intersection is that each chord from one point on the circumference to the intersect point when multiplied by the left over amount of the chord = the same thing done to the other chord. It's easier to understand the formula used to solve this problem than it is to work through the definition.
Equation
x*4 = 14 * 2
Explanation
Take x from the chord's end on the circumference to the intersect point and four's length from the intersect point to the circumference. Multiply them
Do the same thing with the other chord.
Solution
4x = 28 Divide by 4
x = 28/4
x = 7
Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north. How far is Abby from the campsite?
Answer:
65.45 feet
Step-by-step explanation:
According to the Question,
Given, Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north .
(Please find Diagram in Attachment)
A Right Angle Triangle ABC is formed by above-given data .So, By Phythagoras Theorem,
AC² = BC² + AB²
X² = 37² + 54²
X² = 4285 ⇔ √4285 ⇒ 65.45 feet
Given that YZ bisects VW, and VX = 46, find XW
Answer:
XW = 134
Step-by-step explanation:
The fact that YZ bisects VW means that the angles VX and XW are supplementary, that is, they add to 180º. So
VX + XW = 180
We have that VX = 46. So
46 + XW = 180
XW = 134
Standard form of a linear equation -2x+3=4y
Answer:
y=-1/2x+3/4
Step-by-step explanation:
just divide the entire equation by 4, so that y is isolated.
The standard form equation of a line is y=mx+b
I will mark Brainiest (no links please)
Answer:
Step-by-step explanation:
Are the volumes equal? No, so throw out the first and the last one.
Is the volume of the pyramid greater than the volume of prism?
No, so throw out the third one
so by inspection it must be the remaining one
or mathematically
vol pyramid = (1/3)(base)(height)
vol prism = (base)(height)
vol pyramid / vol prism
(1/3)(base)(height) / (base)(height) = 1/3
PLEASE HELP DUE AT 2 PM!!!!
Step-by-step explanation:
BASARILAR...
......
.
.
GOOD BYE
Answer:
\(x = -6\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
\(x - 2 = \frac{5x - 2}{4}\)
Step 2: Solve for x
Multiply 4 on both sides: \(4(x - 2) = 5x - 2\)Distribute 4: \(4x - 8 = 5x - 2\)Subtract 4x on both sides: \(-8 = x - 2\)Add 2 on both sides: \(-6 = x\)Rewrite: \(x = -6\)Lakita wants to go to trade school and study electronics for a two-year program. Her tuition and books will cost about $5,500 per year. She will also spend about $100 a month commuting from her parents' house to school. How much will her education cost her in total?
Answer:
$13,400
Step-by-step explanation:
We will first have to take account of the commuting cost, years at school, and total cost of tuition and books
It would cost $5,500 per year, she is studying at the school for 2 years, we will multiply 5,500 by 2
$5,500 * 2
= $11,000
The cost of commuting per month will be multiplied by 12 to represent a year and another 2 for two years
$100 * 12 * 2
= $2400
We all these together for the total cost of her education
$11,000 + $2,400
= $13,400
a company that makes automatic coffee machines must make a model that dispenses 354 mL + .006 mL of coffee per cup. Do all of the cups in the table fall within the specified tolerance?
Answer:
You didnt show the table, not sure how to answer
Step-by-step explanation:
PLEASE HURRY WILL GIVE POINTS AND BRAINLYEST TO FIRST RIGHT!!!
Answer:
(0, 4) and (-1, 0)
Step-by-step explanation:
Given system of equations:
\(\begin{cases}y=2x^2+6x+4\\y=-4x^2+4\end{cases}\)
Solve by substitution
Substitute the first equation into the second:
\(\implies 2x^2+6x+4=-4x^2+4\)
Add 4x² to both sides:
\(\implies 2x^2+6x+4+4x^2=-4x^2+4+4x^2\)
\(\implies 6x^2+6x+4=4\)
Subtract 4 from both sides:
\(\implies 6x^2+6x+4-4=4-4\)
\(\implies 6x^2+6x=0\)
Factor out 6x from the left side:
\(\implies 6x(x+1)=0\)
Therefore:
\(\implies 6x=0 \implies x=0\)
\(\implies x+1=0 \implies x=-1\)
To find the y-coordinates of the found x-values, substitute the found values of x into one of the equations:
\(x=0 \implies -4(0)^2+4=4 \implies (0,4)\)
\(x=-1\implies -4(-1)^2+4=0\implies (-1,0)\)
Therefore, the solutions to the system of equations are:
(0, 4) and (-1, 0)
Answer:
Solutions:
a) x = 0, y = 4 ⇒ (0, 4)
b) x = -1, y = 0 ⇒ (-1, 0)
Step-by-step explanation:
Given system of equations:
a) y = 2x² + 6x + 4
b) y = -4x² + 4
1. Substitute the value of y in the second equation into the first equation:
⇒ -4x² + 4 = 2x² + 6x + 4
2. Solve for x:
⇒ -4x² + 4 = 2x² + 6x + 4 [subtract 4 from both sides]
⇒ -4x² + 4 - 4 = 2x² + 6x + 4 - 4
⇒ -4x² = 2x² + 6x [subtract 2x² from both sides]
⇒ -4x² - 2x² = 2x² - 2x² + 6x
⇒ -6x² = 6x [subtract 6x from both sides]
⇒ -6x² - 6x = 6x - 6x
⇒ -6x² - 6x = 0 [factor out -6x from the equation]
⇒ -6x(x + 1) = 0
Two cases:
a)
⇒ -6x = 0 [divide both sides by -6]
⇒ -6x ÷ -6 = 0 ÷ -6
⇒ x = 0
b)
⇒ x + 1 = 0 [subtract 1 from both sides]
⇒ x + 1 - 1 = 0 - 1
⇒ x = -1
3. Find the value of y by substituting the found x values into one of the given equations:
a) x = 0:
⇒ y = -4x² + 4
⇒ y = -4(0)² + 4
⇒ y = -4(0) + 4
⇒ y = = 0 + 4
⇒ y = 4
coordinate: (0, 4)
b) x = -1:
⇒ y = -4x² + 4
⇒ y = -4(-1)² + 4
⇒ y = -4(1) + 4
⇒ y = -4 + 4
⇒ y = 0
coordinate: (-1, 0)
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how many total pizzas are possible, with between zero and ten toppings (but not double toppings) allowed?
The total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.
What is combination?
Combinations in probability theory and other areas of mathematics refer to a sequence of outcomes where the order does not matter.
For example, when you're ordering a pizza, it doesn't matter whether you order it with ham, mushrooms, and olives or olives, mushrooms, and ham.
Total number of pizzas that are possible between zero and ten toppings is calculated as follows;
p = 2¹⁰ = 1024 pizzas
Thus, the total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.
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Any variable that can be placed into either of two discrete and mutually exclusive categories is called _________.
Any variable that can be placed into either of two discrete and mutually exclusive categories is called dichotomous.
VariablesA dichotomous variable is one in which, as a result of said variability, there are only two possible outcomes. That is, there is a dichotomy or mutual exclusion between both results of the variable, in such a way that the presence of one result makes the presence of the other null.
An example of dichotomous variables is one in which a certain situation exists or not, that is, where the result varies between 0 and a positive integer.
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Elijah is going to invest in an account paying an interest rate of 5.5% compounded continuously. How much would Elijah need to invest, to the nearest hundred dollars, for the value of the account to reach $1,400 in 16 years?
Answer:
600
Step-by-step explanation:
yw
Identify if the question is
statistical or non statistical.
"How many students at your
school play soccer?"
Answer: Statistical
Step-by-step explanation:
I think its statistical because its quantitative data, meaning you can count it.
Find out the length of segment GF?
Answer:
8
Step-by-step explanation:
Since the two horizontal lines are parallel, we have that triangle CDG and triangle CEF are similar (corresponding points in that order). Therefore, using similarity, CD/CG = CE/CF. Therefore 3/4 = 9/(4+x).
So 12 = 4+x, and x = 8.
In order to summarize qualitative data, a useful tool is a____________.
A) histogram
B) stem-and-leaf diagram
C) scattergram
D) frequency distribution
A (A) histogram is a useful tool for condensing qualitative data.
What is a histogram?An effective tool for summarizing qualitative data is a histogram.
The distribution of numerical data is roughly depicted by a histogram.
Karl Pearson was the person who first coined the phrase.
The first stage in creating a histogram is to "bin" (or "bucket") the range of values, divide it into a series of intervals, and then count the number of values that fall into each interval.
The bins are often defined as a series of discrete intervals that don't overlap.
The bins (intervals) must be close together and frequently, though not always, have the same size.
Therefore, a (A) histogram is a useful tool for condensing qualitative data.
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Which geometric series diverges? Three-fifths three-tenths three-twentieths StartFraction 3 Over 40 EndFraction ellipsis Negative 10 4 minus eight-fifths StartFraction 16 Over 25 EndFraction minus ellipsis Sigma-Summation Underscript n = 1 Overscript infinity EndScripts two-thirds (negative 4) Superscript n minus 1 Sigma-Summation Underscript n = 1 Overscript infinity EndScripts (negative 12) (one-fifth) Superscript n minus 1.
The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.
\(\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}\)
What is geometric series diverges?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
It can be given as,
\(a+ar+ ar^2+ ar^3+...\)
Here,
is the (a) first term of the sequence, and (r) is the common ratio.
To be a series as geometric series diverges, it should follow,
\(|r| > 1\)
First option given as,
3/5+3/10+3/20+3/40+ ...
Here, the common ratio is,
\(r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}\)
The common ratio is less than one. Thus option a is not correct.
First option given as,
-10+4-8/4+18/25- ...
Here, the common ratio is,
\(r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}\)
For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.
In the option number c, the value of common ratio is -4. The absolute value of common ratio is,
\(|r|=|-4|\\|r|=4\)
The absolute value of this common ratio is more than one. Thus, this is the correct option.
The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.
\(\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}\)
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Answer:
its C
Step-by-step explanation:
An earthworm was in the soil 9 inches below the surface. To find moister soil, it moved down 7 inches. What is the position of the earthworm now relative to the surface?
Answer:
16.
Step-by-step explanation:
9+6=16
Take 1 from the 6, 11, then add the 5.
The position of the earthworm now relative to the surface 16 inches.
Given that, an earthworm was in the soil 9 inches below the surface.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
If we consider surface level is 0, then
Earthworm was in the soil 9 inches below the surface = -9 inches
To find moister soil, it moved down 7 inches = -7 inches
The position of the earthworm = -9+(-7)
= -9-7
= -16
Therefore, the position of the earthworm now relative to the surface 16 inches.
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free answer don't ask why i got it wrong
Answer:
the answer is b
Step-by-step explanation:
since yx = 3 when multiplying it lines up with all of graph b's values
hope this helps:)
How does the graph of the function f(x) = 2x4− 3 differ from the graph of its parent function? Select all the transformations.
◻A.The graphs are the same.
◻B.Subtracting 3 translates the graph down 3 units.
◻C.The leading coefficient, 2, stretches the graph vertically.
◻D.Subtracting 3 translates the graph up 3 units.
◻E.Subtracting 3 translates the graph right 3 units.
Answer:
B and C are the correct options
Step-by-step explanation:
The parent function here will be ;
f(x) = x^4
Multiplying x^4 by 2 means that we are having a vertical stretching
What this means is that the leading coefficient 2 stretches the graph vertically by 2 units
Subtracting -3 means that we are translating the graph down by a value of 3 units
So the correct options are;
B and C
What is the volume of the right triangular prism in cubic meters?
Answer:
8×3×2=48
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Answer:
48 cubic meters
Step-by-step explanation:
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answer:45 I think
Step-by-step explanation:
use the following diagram to complete the equation.
Answer:
a
Step-by-step explanation:
please help me solve this i’ll mark brainliest
Answer:
measure of angle MPQ is 125
Step-by-step explanation:
1) Corresponding angles are congruent
5x=3x+50
2x=50
x=25
2) Substitute back into the equation
3(25)+50 = 125
Assume we have 3 boxes which contain red and black balls as follows, Box 1; 3 red balls and 7 black balls, Box 2; 6 red balls and 4 black balls, Box 3; 8 red balls and 2 black balls. suppose we draw a ball from box 1; if it is red, we draw a ball from box 2. if the ball drawn from box 1 is black, we draw a ball from box 3. a. what is the probability of red ball from box 1?. b. suppose we draw a ball from box 1 and it is red; what is the probability of another red ball when we draw from box 2 on the second round? c. suppose our first draw from box 1 was black; what is the conditional probability of our second draw from box 3 this time being red? d. Before we draw any ball; what is the probability of drawing two red balls at both draws? e. Before we draw any ball; what is the probability of drawing a red ball at first draw and a black ball at second draw?
a. The probability of drawing a red ball from Box 1 is 30%.
b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.
c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.
d. The probability of drawing two red balls at both draws, without any prior information, is 46%.
e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.
a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.
b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.
c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.
d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.
e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.
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1 What is the iconography of your print? (Please list the title in Spanish and English)
2. What is he satirizing in the print?
3. Does the theme exist today? (Please give an example)
Image attached
The print you specifically described is entitled "No se puede saber por qué" (translated as "One cannot know why") in Spanish.
What is the image about?Goya mocks the many superstitions and illogical ideas that were pervasive in Spanish culture at the time in this print. A crowd is gathered around a fortune teller who is looking into a crystal ball in the picture. The people are portrayed in a variety of excited and anxious states, indicating their readiness to accept the fortune teller's predictions in the face of a lack of proof or logic.
Even in modern times, the topic of irrational beliefs and superstitions persists, albeit it may take many forms depending on the culture or civilization. For instance, despite the fact that there is little scientific proof to back up their claims, some people continue to turn to astrology, psychics, or alternative medicine. Similar to this, false information and conspiracy theories are still proliferating quickly in the social media age, feeding irrational views and mistrust of authorities and organizations.
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You are packing for a road trip and you buy snack packages (same size, same weight) for the trip. you buy 6 potato chips, 5 doritos, and 3 corn curls. you put them in a bag and mix them up. during the trip, you reach into the bag and pull out two packages at random, one at a time. draw a tree and calculate the probability of each outcome. use p for potato chips, d for doritos, and c for corn curls. what is the probability of picking two snacks of the same type?
The probability of picking two snacks of the same type is 0.308.
How to calculate the probability?The probability of picking 2 potato will be:
= 6/14 × 5/13
= 0.429 × 0.385
= 0.165
The probability of picking 2 doritos will be:
= 5/14 × 4/13
= 0.357 × 0.308
= 0.110
The probability of picking 2 corn curls will be:
= 3/14 × 2/13
= 0.214 × 0.154
= 0.033
Therefore, the probability of picking two snacks of the same type will be:
= 0.165 + 0.110 + 0.033
= 0.308
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Hoy 19 de junio de 2022, Perú es uno de los países con mayor tasa de muertos por COVID-19; registra, según los últimos datos, 3 599 501 personas confirmadas de coronavirus, 1 635 más que el día anterior. ¿En qué porcentaje ha variado el contagio de COVID-19 con respecto al día de ayer?.
When y is directly proportional to x, the value of y = -2 when x = 4. What is the value of y when x = 8?
Answer:
y = -4
Step-by-step explanation:
When y is directly proportional to x,
= y ∝ x
= y = kx
Finding k
the value of y = -2 when x = 4
-2 = k4
k = -2/4
k = -1/2
. What is the value of y when x = 8
Finding y
y = kx
y = -1/2 × 8
y = -4
Consider the sequence: 21;43;85;167;…… 1.1 Write down the next two terms of the sequence. (2) 1.2 Determine the nth term of the sequence (4)
1.1. Next two terms of the sequence: It is given that the sequence is21;43;85;167;……In order to find the next two terms of the sequence, we should note that the difference between each term and the next one is increasing, thus, the common difference should be added accordingly to each term. The common difference is given byd = a2 - a1= 43 - 21= 22
Therefore, the next two terms of the sequence are:167 + 22 = 189189 + 22 = 211So the next two terms of the given sequence are 189 and 211.
1.2. The nth term of the sequence: To determine the nth term of the sequence, we can find the general expression or formula for it by examining the pattern in the sequence. The sequence starts from 21 and the difference between each two consecutive terms is growing by 22. Thus, the nth term of the sequence can be represented by:
Tn = a1 + (n - 1) d Where,
a1 = the first term of the sequence = 21
d = common difference = 22
Tn = nth term of the sequence
For example,T2 = a1 + (2 - 1)d = 21 + 22 = 43
Similarly,T3 = a1 + (3 - 1)d = 21 + 44 = 85T4 = a1 + (4 - 1)d = 21 + 66 = 167
So, we can represent the nth term of the given sequence as:
Tn = 21 + (n - 1)22 Simplifying this expression: Tn = 21 + 22n - 22Tn = 1 + 22n
Therefore, the nth term of the given sequence is 1 + 22n.
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b) Ellina needs to go up to Level 1 to register. Then, he went up 5 floors to make payment before being required to go down 3 floors to pick up his uniform. Finally, he had to go back up 4 floors to listen to the talk. On what floor was the talk held?
please explain it one by one.tq
Answer:
On the 7th floor
Step-by-step explanation:
0+1+5-3+4
1+5-3+4
6-3+4
3+4
7