Given an adjacency matrix, we need to find the graph which has the following adjacency matrix:[2 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0]We know that an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph.The diagonal elements of the matrix are always zero since self-loops are not allowed in a simple graph.The (i, j)-entry of the matrix is 1 if the ith vertex and jth vertex are adjacent, and 0 otherwise. Hence, for the given matrix, there is an edge between vertex 1 and vertex 2 and an edge between vertex 1 and vertex 3. Similarly, there are other edges between vertices.Here is the graph which has the given adjacency matrix:Graph with adjacency matrixFrom the graph above, we can label the vertices A, B, C, D in any order. Let's say we label the vertices as A = vertex 1, B = vertex 2, C = vertex 3, and D = vertex 4.Now, we need to find the number of different paths of length 10 from vertex A to vertex D.The number of paths of length n from vertex i to vertex j in a graph is given by the (i, j)-entry in the n-th power of the adjacency matrix. Here, we need to find the number of paths of length 10 from vertex 1 to vertex 4. So, we need to compute the 10th power of the given adjacency matrix:[2 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0] ^ 10We can use a calculator or software like MATLAB to compute the matrix power. After computing, we get that the (1, 4)-entry of the 10th power of the matrix is 8. Therefore, there are 8 different paths of length 10 from vertex A to vertex D.
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The circumference of a circle is 5π cm. what is the area of the circle? responses 25π cm² , 25 pi, cm² 10π cm² , 10 pi, cm² 6.25π cm² , 6.25 pi, cm² 2.5π cm²
The area of circle calculated form the circumference of circle is 6.25π cm².
The circumference of circle is represented by the formula -
Circumference = 2πr, where r is the radius of the circle.
Keep the value of circumference to find the radius of circle.
5π = 2πr
Cancelling π on each side of the equation
2r = 5
r = 5/2 cm
Now, we know the area of circle is given by the formula -
Area = πr²
Keep the values of radius in the formula -
Area = π× (5/2)²
Taking square on Right Hand Side of the equation
Area = 25π/4
Performing division on Right Hand Side of the equation
Area = 6.25π cm²
Thus, the area is 6.25π cm².
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I need help solving a graph question
Based on the graph the easy score of a shoe size of 14 cannot be determined from the graph since it is not represented
Option D
Select the correct answer. rational functions v and w both have a point of discontinuity at x = 7. which equation could represent function w? a. w(x) = v(x − 7) b. w(x) = v(x 7) c. w(x) = v(x − 7) 7 d. w(x) = v(x) 7
The following equation could be used to represent a function w:
= w(x)=v(x-7)+7
According to the information provided,
The point of discontinuity of rational functions is at x=7.
When a rational function has a point of discontinuity, it generally occurs when,
q(x) = r(x-a), where x = a
In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)
If we know that a=7 and k=7.
The equation which can represent w is as follows,
w(x) = v ( x-7 ) + 7
A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.
Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.
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1) y=-x+7
y=x+3
2) y=x-3
y="2x + 1
3) y=2x+ 2
y=-X -4
Can someone please help me with this
Answer:
1) y = 5, x = 2
2) y = 5, x = 8
3) y = -2, x= -2
Step-by-step explanation:
1)
Use elimination to solve this problem. In this case, one can just add up the two equations, simplify, use inverse operations, and then substitute back in to find the answer.
y = -x + 7
y = x + 3
_______
2y = 10
/2 /2
y = 5, x = 2
2)
Use elimination, in this case, one will have to multiply the second equation by -2, then add, in order to eliminate one of the variables. Finally one will have to simplify, use inverse operations and then substitute back in to solve.
y = x - 3
y = (1/2)x + 1 (*-2)
y = x - 3
-2y = -x - 2
-y = -5
y = 5, x = 8
3)
Use elimination, in this case, one will have to multiply the second equation by 2, then add, in order to eliminate a variable. Then one will have to simplify, use inverse operations and then substitute back in to solve.
y = 2x + 2
y = -x - 4 *(2)
y = 2x + 2
2y = -2x - 8
3y = -6
/3 /3
y = -2, x = -2
Decide whether the angles are alternate interior angles(AIA), same-side interior angles(SSI), corresponding angles(CA), verticalangles(VA) or alternate exterior angles(AEA). Type in the abbreviated name (just letters).
Answer:
Step-by-step explanation:
2 and 7 are AEA
5 and 4 are SSI
8 and 3 are CA
6 and 4 are AIA
2 and 4 are VA
1 and 5 are CA
what is the slope of this line? -2x + 3y =-6
Answer:
Slope: 2/3
Step-by-step explanation:
You have to first write the equation into slope-intercept form...
y = mx + b
So...
-2x + 3y = -6
becomes...
3y = 2x - 6
y = 2/3x - 2
Which means...
2/3 is the slope
Hope this help :)
Let me know if there are any mistakes!!
Solve for x
Ax + B = C
Answer:
(C - B)/A = x
Step-by-step explanation:
Ax + B = C
-B -B
Ax = C - B
Divide both sides by A
x = (C - B)/A
(C - B)/A = x
graph the equation...
0.5s+4a=15
Answer: look at the picture if you want me to solve for s or a here
Step-by-step explanation: hope this help
Vocab
Vocabulary Check
5. Describe one way
to use a line plot.
Answer: Graphically assess how a metric changes as the X- value increases.
Emphasize trends and patterns
Display main and interaction effects.
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. A quality inspector took the following samples of the length of time (in seconds) for glue to dry. Please round your calculations to three decimal places. Sample 1 Obs. 1 125 Obs. 3 122 Obs. 2 126 100 155 Obs. 4 132 121 118 Obs. 5 114 125 142 2 130 110 140 129 3 a) What is the value of ? x = seconds (round your response to three decimal places). b) What is the value of R? R= seconds (round your response to three decimal places). c) What are the UCL, and LCL, using 3-sigma? Upper Control Limit (UCL;) = seconds (round your response to three decimal places). Lower Control Limit (LCL;) = seconds (round your response to three decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR) = seconds (round your response to three decimal places). Lower Control Limit (LCLR) = seconds (round your response to three decimal places).
To find the value of x, we calculate the average of the sample observations. Summing up the observations and dividing by the total number of observations, we get:
x = (125 + 122 + 126 + 100 + 155 + 132 + 121 + 118 + 114 + 125 + 142 + 2 + 130 + 110 + 140 + 129 + 3) / 17 = 114.118 seconds (rounded to three decimal places).b) To find the value of R, we calculate the range of each sample by subtracting the minimum observation from the maximum observation. Then we find the average range across all samples:R = (155 - 100 + 142 - 2 + 140 - 110 + 132 - 114 + 142 - 3) / 5 = 109.2 seconds (rounded to three decimal places).
c) The Upper Control Limit (UCL) and Lower Control Limit (LCL) using 3-sigma can be calculated by adding and subtracting three times the standard deviation from the average:UCL = x + (3 * R / d2) = 114.118 + (3 * 109.2 / 1.693) = 348.351 seconds (rounded to three decimal places).LCL = x - (3 * R / d2) = 114.118 - (3 * 109.2 / 1.693) = -120.115 seconds (rounded to three decimal places).
d) The Upper Control Limit Range (UCLR) and Lower Control Limit Range (LCLR) using 3-sigma can be calculated by multiplying the average range by the appropriate factor:UCLR = R * D4 = 109.2 * 2.115 = 231.108 seconds (rounded to three decimal places).LCLR = R * D3 = 109.2 * 0 = 0 seconds.
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15 first-year algebra students are learning how to solve two-step equations. the teacher notices that the students are not using precise mathematical language. which two instructional strategies should the teacher employ to encourage students to use precise mathematical language when completing this task? choose 2 answers
Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.
However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.
So the list goes as
1. Exponents
2. Roots
3. Multiplication
4. Division
5. additional
6. Subtraction
However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.
Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.
Furthermore, the preferred behavior norm for division and multiplication is different.
Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.
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What is the quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1)?
The quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is 2x² + x – 3.
What is Quotient ?A quotient is a quantity produced by the division of two numbers.
The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole.
For example when 8 is divided by 2, the result obtained is 3. Thus, the quotient is 4.
To determine the quotient when (2x4 – 3x3 – 3x2 + 7x - 3) is divided by (x2 - 2x + 1), we'll apply the long division method as shown below:
2x² + x – 3
x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3
–(2x⁴ – 2x³ + 2x²)
x³ – 5x² + 7x – 3
–(x³ – 2x² + x)
–3x² + 6x – 3
–(3x² + 6x – 3)
0
Thus, the quotient is 2x² + x – 3.
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whoever answers first gets brainlest
Answer: Answer what??
Step-by-step explanation:
6. Find x.
a. x² = 25
Take the square root of each side.
\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)
Help me please I will mark the brainiest and give many points
Only the arrangement and order Is different else all are similar
in first method Kiran created a table which produces all values in the order [1,6] to H and T.
In second method Priya created a flow chart type tree diagram which produces all values in order H and T to [1,6]
So they both produce same answers as both are like inverses of each other ,
If you try to understand then think about relations
Kiran:[1,6]—>{H,T}Priya:{H,T}—»[1,6]So they are ought to form same values just in different order .
#2
Second method is more applicable as its more understandable and easier
an emergency room nurse believes the number of upper respiratory infections is on the rise. the emergency room nurse would like to test the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases. using the computed test statistic of 2.50 and the critical value of 2.33, is there enough evidence for the emergency room nurse to reject the null hypothesis?
To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.
In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.
Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.
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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.
Explanation:Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.
It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.
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|12|____|-12| greater than or less than
Answer:
Step-by-step explanation:
>
Answer:
none of the above, its equal to
Step-by-step explanation:
|12|=|-12|
the absolute value of 12 is equal to the absolute value of -12
hope it helps have a great time learning!
which property allows you to check a solution of an equation? explain
Answer:
Equality
Step-by-step explanation:
Equations are mathematical statements that combine two expressions of equal value. An algebraic equation can be solved by isolating the variable on one side of the equation using the properties of equality. To check the solution of an algebraic equation, substitute the value of the variable into the original equation.
Answer:
properties of equality
Step-by-step explanation:
An algebraic equation can be solved by isolating the variable on one side of the equation using the properties of equality. To check the solution of an algebraic equation, substitute the value of the variable into the original equation.
hope it helps love :)
Please help!!
What is the translation image of (6 , 8) after the translation (x,y)→(x+1, y+2)?
Lita has 4 bananas and Liza has 8 bananas. They give some bananas to their
friends. What is the biggest number of bananas each of their friends get if each of
them receive the same number of bananas?
1. What is asked for in the problem?
2. How will you solve the problem?
3.What is the answer to the problem?
Eggs are sold in trays of 4 and 6. What is the smallest number of eggs that can
be sold using the trays?
4.How will you solve the problem?
5.What is the answer to the problem?
pa help po please kailangan na po kase e
Answer:
hi kpop fan
Step-by-step explanation:
she is blackpink jisoo in your profile pick right
Answer:
they will receive 4 banana
1/10 x 3/4
Find the product. Simplify
Answer:
3/40
Step-by-step explanation:
Can't simplify
Answer: 3/40
Step-by-step explanation:
PLEASE HELP WITH THE PHOTO LINKED IM REALY BAD AT NEGATIVE NUMBERS!!!
Answer:
B
Step-by-step explanation:
When you have a double negative (ie. 5 -(-10)) they cancel eachother out and become a plus. If you have + and - together, its always a minus, if you have + and + or - and -, its always plus.
Since in 4-(-3), the two minuses cancel each other out and become a plus, you move 3 to the right, since right is the positive direction.
subtracting a negative number changes the equation to an addition.
4 -(-3) becomes 4 + 3 = 7
you would start at 4 and move 3 places to the right.
the answer is B.
havent been on in a min i need some friends
also whats 7x7?
Answer:
7 x 7 is 49 =)
Step-by-step explanation:
it's really easy just learn your 7 times tables
Answer: 49
Step-by-step explanation:
The cost of a burger is $4.50. The cost of a soda is $.75. Greg wants to treat some friends to lunch. If he has $40, how many people can he buy lunch for? Use “let” statements and inequalities in your answer.
He can invite 7 friends.Because he had $40. He will spent for each person $5.25.
What is inequality?In mathematics, a relationship between two expression that are not equal to each other is called inequality.The word inequality mean not being equal ,especially in status, rights and opportunities.
What is statement?A statement is a declarative statement that is true or false but both not.A statement is also called proposition.It may contain symbols and words.
he has total money = $40
cost of burger =$4.50
cost of soda =$0.75
Let, he will spend for each person
4.50+0.75=$5.25
so, he can invite=40/5.25
=7.619
he can invite 7 friends.
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-4(x-2)+5<9 solve the inequality
Answer:
x > 1
Step-by-step explanation:
-4(x-2)+5<9
-4(x-2)+5-5<9-5
-4(x-2)<4
-4(x-2)/4 < 4/4
-(x-2) < 1
-x+2 < 1 ==> distribute the negative sign to x and (-2)
-x+2-2 < 1-2 ==> isolate x
-x < -1
x > 1 ==> switch the sign when dividing by a negative number
The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a price tag of $125. What was the cost of this bike before the markup?
Answer:
$96.15
Step-by-step explanation:
Given data
markup = 30%
cost price= $125
let the cost price before markup be x
125-30/100*x= x
125-0.3x= x
125= x+0.3x
125= 1.3x
divide both sides by 1.3
x= 125/1.3
x= $96.15
Hence the price before markup is $96.15
What is the conversion of 47kg in lbs ?
The conversion mass value of the kilograms to pounds is given by
( 103.635 ) pounds.
Kilograms and pounds are units which represents one of the standard unit form help us to measure mass.Standard formula which relates these two quantities of mass are represented as :
One kilogram is equal to 2.205 pounds
After substituting the standard relation between the kilograms and the pounds we get the required value,
1 kilogram = 2.205 pounds
⇒ 47 kilograms = ( 47 ) × ( 2.205 ) pounds
⇒ 47 kilograms = ( 103.635 ) pounds
Therefore, the converted value of 47 kilograms into the pounds is written as ( 103.635 ) pounds.
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Can someone please provide a detailed explanation about rational functions, with perhaps some examples?
I'm simply confused on how to solve for them, identify them - basically anything about them!
Please go into as much detail as possible! :)
Thank you!
A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator polynomial is not zero. In general, a rational function takes the form:
f(x) = P(x) / Q(x)
Here, P(x) and Q(x) are polynomials, and Q(x) ≠ 0. The numerator polynomial P(x) and the denominator polynomial Q(x) can have various degrees and coefficients.
Rational functions often have certain characteristics, such as vertical asymptotes, horizontal asymptotes, x-intercepts, and y-intercepts. These characteristics can be identified by analyzing the behavior of the function for different values of x.
Let's look at a couple of examples:
Example 1:
Consider the rational function f(x) = (3x^2 - 2x - 8) / (x - 2).
Here, the numerator polynomial is 3x^2 - 2x - 8, and the denominator polynomial is x - 2.
To find the vertical asymptote(s), we need to determine the value(s) of x for which the denominator Q(x) equals zero. In this case, we have x - 2 = 0, which gives x = 2. Therefore, the vertical asymptote is x = 2.
To find the x-intercept(s), we need to solve the equation P(x) = 0. In this case, we solve 3x^2 - 2x - 8 = 0. The solutions are x = -1 and x = 8/3. So, the x-intercepts are x = -1 and x = 8/3.
Example 2:
Consider the rational function g(x) = (2x + 1) / (x^2 + x - 6).
Here, the numerator polynomial is 2x + 1, and the denominator polynomial is x^2 + x - 6.
To find the vertical asymptote(s), we determine the values of x for which the denominator Q(x) equals zero. In this case, we need to solve x^2 + x - 6 = 0. Factoring the quadratic equation gives us (x - 2)(x + 3) = 0. So, the solutions are x = 2 and x = -3. Therefore, the vertical asymptotes are x = 2 and x = -3.
To find the x-intercept(s), we solve the equation P(x) = 0. In this case, we solve 2x + 1 = 0, which gives x = -1/2. So, the x-intercept is x = -1/2.
These are just a few examples illustrating the basic concepts of rational functions. Depending on the specific characteristics of the numerator and denominator polynomials, rational functions can exhibit a variety of behaviors. Analyzing their properties helps us understand their graphs and behavior in different regions of the coordinate plane.
16. During a discount salle, an online video game store sells all puzzle games for $6.00 and all action gernes for
$8.00. Bella plans to spend exactly $19.00 on games from this store.
Which equation represents Bella's purchasing options, where is the number of puzzle games bought and yis
the number of action games bought?
A. (6 + 8) = 404
B. 40+ 62 = 8y
C. 40 +8y=63
D. 6x + 8y = 40
$3.84 for a bag of 16 oranges. Find the unit price in dollars per orange. If necessary, round your answer to the nearest cent. $
The unit price in dollars per orange is $ 4. 2
What is a unit price?A unit price is the price for a given commodity or service that includes all extra costs attached to the item.
It is described as the product's average price.
It is determined by dividing the product's total sales revenue by the total units sold for the product.
It is known as the price per unit of the product.
From the information given, we have that;
$3.84 for a bag of 16 oranges
The unit price;
= 16/3. 84
Divide the values
= $4. 166
=$ 4. 2
Hence, the value is $ 4. 2
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