Consider a flow network in which vertices, as well as edges, have capacities. That is, the total positive flow entering any given vertex is subject to a capacity constraint

Answers

Answer 1

Maintain the same constraints on edge capacity, skew symmetry, and flow conservation in the ordinary maximum-flow problem on a flow network of comparable size.

What is flow network?

A flow network is a directed graph with each edge having a capacity and each edge receiving a flow, according to graph theory. The amount of flow on an edge must not exceed the edge's capacity.

Let's suppose the network flow is given by;

G = (V, E)

With edge capacity:

c: E → R

And vertex capacity:

d: V → R

Maintain the same constraints on edge capacity, skew symmetry, and flow conservation.

Consider the new stipulation: for each:

v ∈V

So,

[tex]\rm \sum_{u \in v } \{ f(u,v)|f(u,v) > 0 \} \leq d(v)[/tex]

Thus, if maintain the same constraints on edge capacity, skew symmetry, and flow conservation the ordinary maximum-flow problem on a flow network of comparable size.

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Related Questions

Please help me with this question....

Answers

Answer:

A   x+2 would move the coordinate 2 units to the right while (x)+2 would move the coordinate 2 up and 2 to the right

Step-by-step explanation:

sorry i couldnt do the second part i ran out of time

What is the area of a circular fountain that has a 6 ft. diameter?
A. 18.84 ft2
B. 28.26 ft2
C. 9.42 ft2
D. 254.34 ft2

Answers

Answer: B. 28.26 ft2

Step-by-step explanation: I did this in school and got it right.

Answer:

B. 28.26 ft²

Explanation:

Area of Circle = π(radius)²

Here given:

diameter: 6 ftradius = diameter/2 = 6/2 = 3 ft

Area of the fountain:

3.14(3)² = 28.26 ft²

Iman has 48 months to save $18,000, the maximum amount he estimates his first year of college will cost. he does not want to depend on interest, and does not consider interest when determining his minimum monthly savings goal. what is the minimum amount he should save per month to achieve his goal? $350.00 $375.00 $425.00 $450.00

Answers

Answer:

$ 375 / month

Step-by-step explanation:

$ 18 000 / 48 months = 375 /month

The minimum amount he should save per month to achieve his goal is $375.00. Thus, option 2 is correct.

Given that:

Number of months = 48

Monthly savings = $18,000

The minimum amount to save per month can be calculated by dividing the total amount by the number of months:

Minimum monthly savings goal = Total amount to save / Number of months

Minimum monthly savings goal = $18,000 / 48

Minimum monthly savings goal ≈ $375.00

Therefore, the minimum amount he should save per month to achieve his goal is $375.00. Thus, option 2 is correct.

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Using the net below, find the surface area
of the triangular prism.
am
6 cm
7 cm
7 cm
4 cm
4 cm
Surface Area = [?] cm²

Answers

The surface area of the triangular prism is 153 cm².

What is a triangular prism?Imagine you have a triangle. Now, extend it upward to form a stack of triangles atop one another. The triangular prism is a new three-dimensional object.Typically, when we refer to a triangle prism, we mean one whose stack faces upward; in this case, we are referring to a right triangular prism.The area of the triangular prism is equal to the sum of the areas of the rectangle and the triangle, hence the prism's area will be,

Area = A + B + C

       =(9 × 15) + (0.5×6×3) + (0.5×6×3)

       = 135 + 9 + 9

       = 153 cm²

Hence, the surface area of the triangular prism is 153 cm².

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Factor x³ + x² + x + 1 by grouping. What is the resulting expression?
○ (x²)(x + 1)
O (x² + 1)(x)
O (x² + 1)(x + 1)
O (x³ + 1)(x + 1)​

Answers

Answer:  (x² + 1)(x + 1)

Work Shown:

x³ + x² + x + 1

(x³ + x²) + (x + 1)

x²(x+1) + 1(x + 1)

(x² + 1)(x + 1)

The basic outline is to pair up the terms into two groups. We factor each group separately, and then factor out the overall GCF (x+1). You can use the FOIL rule to verify the answer.

The factored form of x³ + x² + x + 1 is (x²+1)(x+1).

What is Factorization?

A number or other mathematical item is factored (or factorised; see English spelling changes) or factored by a number of factors, usually smaller or simpler things of the same kind.

We have,

x³ + x² + x + 1

Now, making groups as

(x³ + x²) + (x + 1)

= x² (x + 1) + (x+1)

= (x²+1)(x+1)

So, resulting expression is  (x²+1)(x+1).

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What is the the slope and y-intercept in the equation and what do both mean in context of the problem? y= 0.98x + 1.44

Answers

Answer:

The slope is 0.98 and the y-intercept is 1.44.

Step-by-step explanation:


The equation is a linear equation in the Slope-Intercept form y=mx+b. It’s called this because it identifies the slope m and the point on the y-axis at which the line intersects.

Which equations graph as circles?
x² + x + y² = 4
2x + x + y² = 8
x² + y² = 5
x² + x + y = 6
x² + y² + y = 1

Answers

Answer:

A, C, and D

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

how do i do this could you show step by step please?​

Answers

The value of x from the given right triangle in rational form is 14√

SOH CAH TOA identity

This is a way of determining the sides and angles of a right triangles

From the given triangle

Opposite = 7√4 = 14

Hypotenuse = x

acute angle = 45 degrees

Using the theorem

sin 45 = 14/x

x = 14/sin45

x = 14√2

Hence the value of x from the given right triangle in rational form is 14√2

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People in two sample groups were asked to identify their favorite kind of pizza. study the results and circle a generalization

Answers

Answer:

Group B

Step-by-step explanation:

You can see even with the same total group b likes the most topppings

Help ASAP!
Solve the following linear system by graphing. 7x – 2y = −4
Y=−5
a (-2,-5)
b (-6,0)
c (1,5)
d (7,-4)​

Answers

The correct answer is a (-2, -5)
Explanation:

A conveyor belt carries supplies from the first floor to the second floor, which is 39 feet higher.
The belt makes a 60° angle with the ground. How far do the supplies travel from one end of
the conveyor belt to the other to the nearest foot? If the belt moves at 70 ft./min., how long
does it take the supplies to move to the second floor to the nearest tenth of a minute?
O 68 ft.; 1.0 min.
O55 ft.; 0.8 min.
O 45 ft.; 0.6 min.
O23 ft.; 0.3 min.

Answers

The supplies travelled 45ft and it took 0.6min to get to the next floor.

What is trigonometry?

Trigonometry is the branch of mathematics dealing with the relationship between the sides of a triangle and the angles.

Analysis:

The supplies distance travelled, distance of first floor from second floor and the ground form a right angled triangle.

so that sin 60 = 39/distance travelled by supplies

distance travelled by supplies = 39/sin 60 = 39/0.866 = 45 feet.

speed = distance / time

time = distance / speed = 45/70 = 0.6 min

In conclusion, the distance and time time taken for the supplies to get to the next floor is 45feet and 0.6 min respectively.

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PLA HELP ME ITS DUE TOMORROW

Answers

[tex] \pink 9 \pink 4 [/tex][tex]\pink t \pink a \pink x \pink i [/tex][tex] \pink b \pink u \pink s[/tex][tex] \pink 1 \pink 2 [/tex]

Step-by-step explanation:

To Find the number of people in the survey = 36+28+14+12+10 => 94The least prefer mode of transportation is Taxi , as we can see is is preferred by 10 peoples.Most preferred transportation is Bus which was preferred by 36 people.Number of persons who prefer to ride the motorcycle is 12.

Two angles of a triangle are in the ratio of 2:3 if the third angle is 50 degree find the other two angles

Answers

Answer:

52° & 78°

Step-by-step explanation

Two angles of a triangle are in the ratio of 2:3 if the third angle is 50 degree find the other two angles

the sum of the interior angles in a triangle is 180°

so

180 - 50 = 130°

130 : 5 = 26° (unit)

26 * 2 = 52°

26 * 3 = 78°

--------------

check

50 + 52 + 78 = 180°

------------

2 : 3 = 52 : 780.66666666666 = 0.66666666666

The answer is good

the length of a line is y centimetres write down an expressions in terms of y for the length of the line in millimetres

Answers

Answer:

L=10y

Step-by-step explanation:

1cm=10mm

Hence, the length in millimeters will be 10 times the value in cm.

FIND AREA OF THE FIGURE

Answers

when receiving this kind of questions, you just need to find a figure that you can calculate the area of or split the figure in multiple figures that you can calculate.

Find the measure of one interior angle of a regular polygon with 13 sides

Answers

Answer:

152.3 approximately

Step-by-step explanation:

A polygon with 13 sides (and angles too) would be called tridecagon

Now, the sum of interior angles in a polygon is calculated by dividing the number of angles minus 2 by 180 [(n-2)*180]

(13-2)/180 = 1.980 and to find what is the measure of one angle, we divide the sum by the number of angles the polygon has

1.980/13 = 152.3 approximately

In a school in florida, 60% of the students stay in the school's dormitory and 40% stay with their families. the school records show that 30% of the students living in the dormitory and 20% of the students living with their families obtain as on exams. if a student chosen at random from the school receives as, the probability that the student lives in the school dormitory is .

Answers

Answer: 9/13

Step-by-step explanation:

plato classes

Which of the following is an equivalent expression to the expression
a4
A
a12
B
C
7
Q12
2
HELP.

Answers

Answer:

D is the correct option.

All the best!

Simplify!! Please!!!

Answers

The answer is in the photo I attached.

Answer:

.................................................

Step-by-step explanation:

edge 2022

PLEASE HELP I’LL MAKE YOU THE BRAINIEST
write the ratio for tan A

Answers

Answer:

tan A = 5/12

Step-by-step explanation:

The tangent ratio is equal to the length of the side opposite of the angle over the length of the side adjacent to the angle. If we are finding tangent in respect to angle A, the opposite side would be line CB with a length of 5. The adjacent side is line AC with a length of 12. Therefore, the tan A ratio is 5/12.

You are going to visit a relative out of town and want to go to the gym while visiting. Hunkey Heros charges a registration fee of $50 plus a monthly fee of $20. Zipity-zapity- zap-that-fat charges $70 to join, but only $10 per month. After how many months do the gyms cost the same? a) Declare your variables:

c) Solve

b) Write a system of equations:​

Answers

The number of months when the gyms cost the same is 5 months.

When would the cost be the same?

Total cost of joining the gym = registration fee + (cost per month x number of months)

Hunkey Heros = $50 + $20m Zipity-zapity- zap-that-fat = $70 + $10m

When the gyms costs are the same, the two above equations would be equal to each other:

50 + 20m = 70 + 10m

20m - 10m = 70 - 20

10m = 50

m = 50 / 10

m = 5

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sin 30° right triangle

Answers

Answer:

The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians. The trigonometric function also called as an angle function relates the angles of a triangle to the length of its sides.

...

Related Links

Sin 0 Degree Trigonometry Formulas

Inverse Cosine Law of Sines Formula

11 Select the correct answer. The equations and are graphed on the coordinate grid. How many real solutions does the equation have? A. 0 B. 1 C. 2 D. cannot be determined from the graph

Answers

Where’s the graph? The graph is needed to determine the solution, love

What does the t-coordinate of the solution to this system represent? the time at which the ball and the dog hit the ground the time at which the ball and the dog begin moving the time at which the ball and the dog's mouth are at the same height

Answers

The t-coordinate of the solution to this system represents C. the time at which the ball and the dog's mouth are at the same height.

How to explain the coordiante?

A coordinate time scale is a time standard designed for use as the time coordinate in the calculation.

When Laurie throws a tennis ball toward her dog from a height, the t-coordinate of the solution to this system represents the time at which the ball and the dog's mouth are at the same height

The complete question is:

Laurie throws a tennis ball toward her dog from a height of 4.5 ft. The initial vertical velocity of the ball is 18 ft/s. At the same time as Laurie throws the ball, her dog jumps with an initial vertical velocity of 21 ft/s. When the dog jumps, its mouth is 1.5 ft above the ground. What does the t-coordinate of the solution to this system represent?

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Answer:

C

Step-by-step explanation:

I got it right

Please help urgent!!!

Which statement about the functions is true?





The minimum value of f(x) is less than the minimum value of g(x).


f(x) and g(x) intersect at exactly one point.


f(x) and g(x) have the same y-intercept.


The x-intercepts of f(x) are common to those of g(x) .

Answers

The x-intercepts of f(x) are common to those of g(x) .

What is x-intercept?

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis. The value of y is equal to zero at x-intercept.

For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.

The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.

Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.

Choice 2 is not true. Point B is not on the parabola.

Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.

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2x(x-5)-x(3+2x)=26
help me pls

Answers

Answer:

x=−2

Step-by-step explanation:

hope it helps yaa

A function is defined by x)- What is f(-8)?
0-2
N FIC
02
02

Answers

f(x) = x/4
Find f(-8)
Substitute (-8) into the x in the function given: f(x) = x/4
We get, f(-8) = (-8)/4 = -2
So, the answer is -2.

A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). What are the values of h and v? To find the value of a, subtract the y-coordinate of the vertex from the y coordinate of the point on the parabola that is 1 unit to the right of the vertex. Find the value of A for the parabola

Answers

The value of a is 1/4 and the value of h and k is (2,-7/4)

What is a Parabola ?

A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.

(x-h)² = 4a(y-k)

It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).

Therefore
(x -2)² = 4a(y +2)

The parabola passes through the point (3,-1)

(3-2)² = 4*a(-1+2)

1 = 4 a

a = 1/4

Now to determine the value of focus point , (h,k)

(h = 2)

k = - 2 +1/4 = -7/4

Therefore The value of a is 1/4 and the value of h and k is (2,-7/4)

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Can someone help me withthe full page I will offer a lot of points

Answers

#1

Scale ratio

10ft/1in

#2

Unknown is actual length

So the ratio is

x/0.75

#3

The proportion is

x/0.75=10/1

#4

Must be multiplied with 0.75

#5

x=0.75(10)x=7.5ft

Actual length is 7.5ft

Answer:

Question 1

Given scale:  1 in = 10 ft

[tex]\textsf{Therefore, the scale as a ratio}=\sf \dfrac{\boxed{10}\:ft}{\boxed{1}\:in}[/tex]

Question 2

The ratio of the garden's actual length to its length in the drawing:

[tex]\sf \dfrac{x\:ft}{0.75\:in}[/tex]

Question 3

Therefore, the proportion is:

[tex]\sf \dfrac{10\:ft}{1\:in}=\dfrac{x\:ft}{0.75\:in}[/tex]

Question 4

Multiply both sides of the proportion by 0.75 to find x

Question 5

[tex]\begin{aligned}\textsf{Proportion}: \quad \quad \;\sf \dfrac{10\:ft}{1\:in} & = \sf \dfrac{x\:ft}{0.75\:in}\\\\\textsf{Mulitply both sides by 0.75}: \quad \sf 0.75\cdot \dfrac{10}{1} & = \sf 0.75 \cdot \dfrac{x}{0.75}\\\\\textsf{Simplify}: \quad \quad \quad \sf 7.5 & = \sf x\end{aligned}[/tex]

Therefore, the actual length of the garden is 7.5 ft

HELP PLEASE ILL MAKE YOU THE BRAINIEST What is the area of the regular polygon?

Answers

Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².

How to calculate the area of a regular polygon?

Mathematically, the area of a regular polygon can be calculated by using this formula:

Area = (n × s × a)/2

Where:

n is the number of sides.s is the side length.a is the apothem.

Note: The apothem of a regular polygon is half the length of one side.

Therefore, Length = 2 × 2 = 4 meter.

Substituting the parameters into the formula, we have;

Area = (6 × 4 × 2)/2

Area = 48/2

Area = 24 m².

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