The running time of the most efficient deterministic algorithm for finding the shortest path between two vertices in a directed graph where the weights of all edges are equal is O(V+E).
The name of the algorithm is Breadth-First Search (BFS).
What is the Breadth-First Search Algorithm?Breadth-first search (BFS) is an algorithm for traversing or searching tree or graph data structures. It starts at the tree or graph root (or some arbitrary node of a graph, occasionally referred to as a ‘search key’) and explores the neighbor nodes first, before moving to the next level neighbors.
BFS traverses the graph breadthwise and systematically, exploring all of the neighbors of a node before moving on to the next level neighbor. The algorithm runs on time complexity O(V+E).
So, Breadth-First Search (BFS) is the most efficient deterministic algorithm for finding the shortest path between two vertices in a directed graph where the weights of all edges are equal.
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commutative property under rational numbers with an example
Answer:
a+b=b+a
Step-by-step explanation:
2+3=3+2
=5
:)))))
Answer:
5/9 x 2/9 = 10/81 is a rational number.
Step-by-step explanation:
5/9 x 2/9 = 10/81 is a rational number.
Commutative Property : Multiplication of rational numbers is commutative. Therefore, Commutative property is true for multiplication.
commutative property under rational numbers with an example
Commutative property of addition of rational numbers: Two rational numbers can be added in any order. Associative property of addition of rational numbers: While adding three rational numbers, they can be grouped in any order.
The figure(Figure 1) is a graph of Ex. The potential at the origin is -140 V . What is the potential at x=3.0m? Expert Answer. Who are the experts?
As per the given origin, the potential at x = 3.0m is 143.0V
The term origin in math is referred as the initial point or the starting point from where we begin our calculations or measurements.
Here we have given that the potential at the origin is -140 V.
And we need to find the potential at x = 3.0m.
While we looking into the given question, we have identified that the region of space has a non-uniform electric field that points in the +x-direction and has magnitude and as the reference point, it take the potential at the origin to be -140 V .
Then the electric potential at x=3.0m is calculated as,
=> V(3) - 140 = 3.0
=> V(3) = 143.0
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solve the equation: 0.65 = 0.5c
Answer:
=1.3
Step-by-step explanation:
Combine multiplied terms into a single fraction
0
.
6
5
=
0
.
5
0.65=0.5c
0.65=0.5c
0
.
6
5
=
1
2
0.65=\frac{1c}{2}
0.65=21c
2
Multiply by 1
3
Multiply all terms by the same value to eliminate fraction denominators
4
Cancel multiplied terms that are in the denominator
5
Multiply the numbers
6
Move the variable to the left
Solution
=1.3
Answer:
c = 1.3
Step-by-step explanation:
0.65 = 0.5c ( divide both sides by 0.5 )
\(\frac{0.65}{0.5}\) = c , that is
c = 1.3
Suppose that θ^1 and θ^2 are unbiased point estimators for an unknown population parameter θ such that Var(θ^1)=σ12 and Var(θ^2)=σ22. (a) (2 pts) What are the values of E(θ^1) and E(θ^2) ? Why? (b) (2 pts) Define a new estimator θ^3=aθ^1+(1−a)θ^2 for constant 0
The new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.
(a) The values of E(θ^1) and E(θ^2) are unknown without further information. Being unbiased estimators means that, on average, they provide estimates that are equal to the true population parameter θ. Therefore, we have:
E(θ^1) = θ
E(θ^2) = θ
(b) To find the expectation E(θ^3), we can use the linearity property of expectations:
E(θ^3) = E(aθ^1 + (1 - a)θ^2)
Since θ^1 and θ^2 are unbiased estimators, their expectations are equal to θ:
E(θ^3) = E(aθ^1 + (1 - a)θ^2) = aE(θ^1) + (1 - a)E(θ^2)
Using the values from part (a), we have:
E(θ^3) = aθ + (1 - a)θ = θ(a + 1 - a) = θ
Therefore, the new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.
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A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?
*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*
Answer:
$54.01
Step-by-step explanation:
All you have to do is $300.00-$245.99 .
what is the domain of this table
Answer:
the answer is b
how to make calculator give answers in fractions
First enter the numerator of the fraction, then press the division key and enter the denominator. Hit the "equals" key and the fraction will display as a decimal. Press “1” followed by the same number of zeros as decimal places from your decimal number.
Fraction:A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
There are three major types of fractions. They are proper fractions, improper fractions and mixed fractions.
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A.40
D.43
C.42
E.45
B.41
In a certain class the attendance of children from Monday to Friday was 40,45,43,42,45.
What is the average attendance of the class that week?
Answer:
The answer is E
Step-by-step explanation:
if you find the common numbers you get 45
Answer:
I think it's 42.2 I searched it up
Meena takes 5 min 4 sec to solve 1 question how much time she took is she had solved 5 questions
Solving 1110 – 1110 using 2’s complement will lead to a problem; by using 7-bit data representation. Explain about the problem and provide suggestions or steps to overcome the problem
The problem with solving 1110 - 1110 using 2's complement in 7-bit data representation is that it results in an overflow, and to overcome this, either increase the number of bits or use a larger data type for representation.
We are subtracting 1110 from 1110 using 2's complement and using 7-bit data representation. Let's go through the steps:
Step 1: Convert 1110 to its 2's complement representation in 7 bits:
- In 7 bits, the leftmost bit is the sign bit.
- Since the leftmost bit of 1110 is 1 (indicating a negative number), we can simply represent it as it is: 1110.
Step 2: Perform the subtraction using 2's complement:
1 1 1 0
- 1 1 1 0
------------
0 0 0 0
The result of the subtraction is 0000. However, this result is problematic because it is not within the range that can be represented with 7 bits using 2's complement.
To overcome this problem and prevent overflow, we can take the following steps:
1. Increase the number of bits: Increase the number of bits used for representing the numbers. Using more bits allows for a larger range of representable numbers and reduces the chance of overflow. If possible, use more bits for data representation.
2. Use a larger data type: If using a fixed number of bits is a requirement, consider using a larger data type, such as a larger integer type, that can accommodate the expected range of values without overflow.
3. Check for overflow conditions: Before performing arithmetic operations, check for potential overflow conditions. For example, when subtracting two negative numbers or adding two positive numbers, the result should have a different sign. If the signs of the operands are the same and the result has the opposite sign, it indicates overflow.
4. Handle overflow cases: If overflow occurs, take appropriate actions based on the specific requirements of your application. This could involve truncating or discarding the most significant bits of the result or applying additional logic to handle the overflow condition appropriately.
By considering these suggestions and adjusting the number of bits or data type used for data representation, you can overcome the problem of overflow when performing arithmetic operations using 2's complement.
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Gasoline costs $3.37 per gallon. Mary's father puts 9i gallons in the tank of his car. How much will the gasoline cost?
9 gallons of gasoline would cost 30.33
9 x 3.37=30.33 you just have to multiply the gas by the gallons and then that will give you your answer
The Jones family is expecting another baby. They have a 7 year old
boy and a 3 year old boy. What is the probability of having a girl?
Answer:
50%
Step-by-step explanation:
it is always 50%
the probability would not change even if you had 100 boys in a row
Can any kind soul help me
9514 1404 393
Answer:
18
Step-by-step explanation:
There are two areas where the circles P and C overlap. One is labeled "4" and the other is labeled "3x". The sum of these two values is the number of people who like Pop and Classical music, 13.
4 + 3x = 13
3x = 9 . . . . . subtract 4
x = 3 . . . . . . divide by 3
__
We are asked to find the number of people who like two types only. The three regions where only two circles overlap are labeled x, 3x, and 6. The answer to the question is the sum of these values.
like 2 types only: x +3x +6 = 4x +6 = 4(3) +6 = 18
18 students like two types of music only.
c/8 = 7/2 What does c equal? please help me I don't understand these problems that well.
Answer:
c = 28
Step-by-step explanation:
Solve for c by simplifying both sides of the equation, then isolating the variable.
Solve for x. −35x 15>720 Drag and drop a number or symbol into each box to correctly complete the solution.
To solve the inequality −35x + 15 > 720, we need to find the value of x that satisfies the inequality. The solution to the inequality is x < -19.
To solve the inequality, we first subtract 15 from both sides to isolate the term with x. This gives us −35x > 705. Then, we divide both sides by -35. However, it's important to remember that when we divide an inequality by a negative number, we must reverse the direction of the inequality symbol. Therefore, we get x < -19 as the solution.
The inequality x < -19 represents all the values of x that make the original inequality −35x + 15 > 720 true. It means that any value of x less than -19 will satisfy the inequality. The solution set consists of all real numbers to the left of -19 on the number line.
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Solve for x 1/2x = 3/4
Answer:
5
Step-by-step explanation:
Calculate the area of the square.4 in^28 in^216 in^232 in^2
Answer: The answer is sixteen.
Explanation: The area of any square would be equal to \(S^{2}\) or lw = a. (Length x width = area). The area could also be found with A = \(S^{1} x\) \(S^{2}\).
Side 1 = 4 Side 2 = 4
4 x 4 = 16.
The lines p and q intersect at point O.
What is the value of x?
Enter your answer in the box.
X =
Step-by-step explanation:
the answer is
(2x+13)=(3x-3)
x= 16
A triangular number is a number that can be represented by arranging the number of dots in rows to form a triangle. The first four triangular numbers are represented in the diagram. Find the mean, median and range of the first 6 triangular numbers.
mean =
Number
median =
Number
range =
Number
The mean of the triangular dots is 4, the median is 8 and the range is 6.
How to determine the Measures of central tendency?
A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within the given set of data.
From the question, the parameters are dots that will form triangle as
.
. . .
. . . . .
. . . . . . .
Total mumber of dots is 1+3+5+7=16
These parameters are represented as follows:
The mean is the average of all the dots that formed the triangle
Mean value of the set of data = \(\frac{16}{4} =4\)
The median is the middle number when arranged in ascending or descending order of magnitude
The median is \(\frac{16}{2} =8\)
The range is the highest value minus the lowest value in the dots
The range is 7-1=6
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Taylor owns a small business selling bagels. She knows that in the last week 30 customers paid cash, 40 customers used a debit card, and 6 customers used a credit card.
Based on these results, express the probability that the next customer will pay with something other than a debit card as a decimal to the nearest hundredth.
Answer:
She knows that in the last week 30 customers paid cash, 40 custo… ... paid cash, 40 customers used a debit card, and 6 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a debit card as a decimal to the nearest hundredth.
Step-by-step explanation:
Answer:
║⊕║·····∧····∨····Hola :D····∨····∧····║⊕║
Your answer should be:
47.37% or 36/76 as a fraction
Step-by-step explanation:
Hope this helped!
Brainliest appreciated!
Have a great day! :D
What would it be reflected to?
what direction are you being asked to reflect them
Step-by-step explanation:
i can give an easy answer and explanation then
The graph of a linear function is shown.
A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing through (0, 0) and (5, 1).
Which word describes the slope of the line?
positive
negative
zero
undefined
–6
–4
4
6
The required slope of the linear function shown on the graph passing through (-5, -1) to (5, 1) is given as positive 1/5. Option A is correct.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
A coordinate plane with a straight line. The line starts at (-5, -1) and continues up and to the right passing through (0, 0) and (5, 1).
The slope of a linear function is given as,
M = (y₂ - y₁) / (x₂ - x₁)
m = 1 + 1 / 5 + 5
m = 2 / 1 0
m = 1 / 5
Thus, the required slope of the linear function shown on the graph passing through (-5, -1) to (5, 1) is given as positive 1/5. Option A is correct.
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Answer:
the answer is a
Step-by-step explanation:
Help me pleaseeee I need to finish
the hypotenuse of a right triangle is 29, and the legs are consecutive numbers, what is the sum of the legs
The sides are 20 and 21 in right triangle.
What defines a right triangle?
The term "right triangle" refers to a triangle with an interior angle of 90 degrees.
The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.
29² = x² + (x+1)²
x²+ x² +2x +1 = 841
2x² +2x -840 =0
x² + x -420 =0
(x+21)(x-20)=0
x=20
the sides are 20 and 21
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In which number does the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045?
A. 640,488
B. 814,694
C. 28,367
D. 56,808
The number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is A. 640,488.
How to illustrate the place value?It should be noted that a place value is the value that is represented based on the position of a number.
In this case, the digit of 6 in 62,045 is 60000. From the options, the digit of 6 in 640488 is 600000. This is 10 times the value.
Therefore, the number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is 640,488. The correct option is A.
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an angle in standard position measures startfraction pi over 2 endfraction radians, and p(0, 1) is on the terminal side of the angle. what is the value of the cosine of this angle?
An angle in standard position measures π/2 radians, and p(0, 1) is on the terminal side of the angle, the value of the cosine of this angle is 1.
So, we have:
cos θ = adjacent/hypotenuse
cos θ = x/1
cos θ = x
Now, the given angle is π/2 radians, and the point P (0, 1) lies on the terminal side of the angle. From the point P (0, 1), we can move left towards the origin to make a right-angled triangle.
Since the angle measures π/2, one leg will be on the x-axis (the horizontal leg) and the other leg will be on the y-axis (the vertical leg). Let's construct a right triangle using the point P (0, 1) and the origin (0,0) as two of the vertices: So, the opposite side is equal to 0, and the adjacent side is equal to 1.
Thus, the value of the cosine of this angle is cos θ = adjacent/hypotenuse = 1/1 = 1.
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Answer:
0
Step-by-step explanation:
Test the series below for convergence using the Ratio Test. ( - 1)"62n+1 (2n + 1)! n=0 The limit of the ratio test simplifies to lim \f(n)| where n → f(n) = The limit is:
The limit is less than 1, the series converges by the Ratio Test.
To apply the Ratio Test, we need to compute the limit of the ratio of successive terms of the series:
\(|((-1)^(n+1) * 6^(2n+3)) / ((2n+3)! * ((2n+1)!))| / |((-1)^n * 6^(2n+1)) / ((2n+1)! * ((2n)!))|\)
We can simplify this expression by canceling out some of the common terms in the numerator and denominator:
\(|((-1)^(n+1) * 6^2) / ((2n+3) * (2n+2))| = 36 / ((2n+3) * (2n+2))\)
Now we can compute the limit of this expression as n approaches infinity:
\(lim n→∞ |f(n)| = lim n→∞ |36 / ((2n+3) * (2n+2))| = 0\)
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What point located in quadrant ll has an x- value that is 5 units from the origin and a y-value that is 4 units from the origin
Answer:
-x is quadrant two your question notclear
if a = 2, 0, 2 , b = 3, 2, −2 , and c = 0, 2, 4 , show that a ⨯ (b ⨯ c) ≠ (a ⨯ b) ⨯ c. a ⨯ (b ⨯ c) =
The vectors resulting from the calculations of a ⨯ (b ⨯ c) and (a ⨯ b) ⨯ c do not have the same values. We can conclude that these two vector products are not equal.
To evaluate a ⨯ (b ⨯ c), we can use the vector triple product. Let's calculate it step by step:
a = (2, 0, 2)
b = (3, 2, -2)
c = (0, 2, 4)
First, calculate b ⨯ c:
b ⨯ c = (2 * (-2) - 2 * 4, -2 * 0 - 3 * 4, 3 * 2 - 2 * 0)
= (-8, -12, 6)
Next, calculate a ⨯ (b ⨯ c):
a ⨯ (b ⨯ c) = (0 * 6 - 2 * (-12), 2 * (-8) - 2 * 6, 2 * (-12) - 0 * (-8))
= (24, -28, -24)
Therefore, a ⨯ (b ⨯ c) = (24, -28, -24).
Now, let's calculate (a ⨯ b) ⨯ c:
a ⨯ b = (0 * (-2) - 2 * 2, 2 * 3 - 2 * (-2), 2 * 2 - 0 * 3)
= (-4, 10, 4)
(a ⨯ b) ⨯ c = (-4 * 4 - 4 * 2, 4 * 0 - (-4) * 2, (-4) * 2 - 10 * 0)
= (-24, 8, -8)
Therefore, (a ⨯ b) ⨯ c = (-24, 8, -8).
In conclusion, a ⨯ (b ⨯ c) = (24, -28, -24), while (a ⨯ b) ⨯ c = (-24, 8, -8). Hence, a ⨯ (b ⨯ c) is not equal to (a ⨯ b) ⨯ c.
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Note the correct and the complete question is
Q- If a = 2, 0, 2, b = 3, 2, −2, and c = 0, 2, 4, show that a ⨯ (b ⨯ c) ≠ (a ⨯ b) ⨯ c.
express the triple integral e f(x, y, z) dv as an iterated integral in spherical coordinates for the given function f and solid region e.
The triple integral f(x,y,z)dV of the function f is 256π(256-x-y)² as an iterative integral in cylindrical coordinates.
In 2-dimensional space R2, a point with rectangular coordinates (x, y) can be identified with (r, θ) in polar coordinates, where x=rcosθ, y=rsinθ, r²=x²+y² and tanθ=(y.x) are the relationships between the variables.
In 3-dimensional space R3, a point with rectangular coordinates (x, y, z) can be identified with cylindrical coordinates (r,θ,z). We will use these same conversion relationships, adding z as the vertical distance to the point from the x y-plane
The iterative integral in cylindrical coordinates is;
∫∫∫f(ρ, θ, z)dV = ∫∫∫xρcos(θ)ρsin(θ)zdρdθdz
so we will Evaluate the integral yield as;
∫∫∫f(ρ, θ, z)dV = 256π∫zdz
= 256πz²
= 256π(256 - x - y)²
therefore, The triple integral f(x,y,z)dV of the following function f is 256π(256-x-y)² as an iterative integral in cylindrical coordinates.
the triple integral f(x, y, z)dV as an iterated integral in cylindrical coordinates for the given function f and solid region E
Evaluate the iterated integral;
f(x, y, z) = xy ZA 256-x-y. -y E = x + y ? 0
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