Amelia and her brother had a snow day, so they played in the snow for 3 hours. During that time, it snowed another 4.8 inches. If the snow fell at a steady pace, how much snow fell each hour?

The algorithm has a computational complexity of O(m * n), where m is the length of string x and n is the length of string y.

To determine if string s is an interweaving of strings xand y, you can use a dynamic programming approach. Here's an efficient algorithm to solve this problem:

1. Check if the length of s is equal to the sum of the lengths of x and y. If not, return false.

2. Create a 2D boolean array, dp, with dimensions (length of x + 1) by (length of y + 1).

3. Initialize dp[0][0] as true, indicating that an empty s is an interweaving of empty x and empty y.

4. Iterate over x from index 0 to its length:

    a. If s[i-1] is equal to x [i-1] and dp[i-1] [0] is true, set dp[i] [0] as true.

5. Iterate over y from index 0 to its length:

    a. If s[j-1] is equal to y [j-1] and dp[0] [j-1] is true, set dp[0 ][j] as true.

6. Iterate over x from index 1 to its length and y from index 1 to its length:

    a. If s [i+j-1] is equal to x[i-1] and dp[i-1] [j] is true, set dp[i] [j] as true.

    b. If s [i+j-1] is equal to y [j-1] and dp[i] [j-1] is true, set dp[i] [j] as true.

7. Return dp [length of x] [length of y], which indicates if s is an interweaving of x and y.

The computational complexity of this algorithm is O(m * n), where m is the length of string x and n is the length of string y. This is because we are filling in a 2D array of size (m+1) by (n+1) with each cell requiring constant time operations. Thus, the overall time complexity of the algorithm is linear in the product of the lengths of x and y.

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Answer:

£15158.00

Step-by-step explanation:

The profit on the sale of 1 computer is the difference between the selling price and the buying price.

Profit on 1 computer:

£2081.00 - £915.00 = £1166.00

The profit on 13 computers is 13 times the profit on 1 computer.

13 × £1166.00 = £15158.00

Answer: £15158.00

Answer:

A) y = -3x -2

Step-by-step explanation:

1. start at point (-1,1)

2. move down 3 (-3) and over to the right 1 (1)

3. that makes your slope -3/1 which is just -3.

4. find your y-intercept: -2

5. using y=mx+b, plug in your numbers and you get

6. y = -3x -2

Hope this helps! Brainliest, please!

Answer:

7/3 is x take 7/6 divided by 1/2

Answer:

x = 7/3

Step-by-step explanation:

1/2x=7/6

Multiply each side by 2

1/2x*2 = 7/6*2

x = 14/6

x = 7/3

Answer:

24

Step-by-step explanation:

6*4

1) The solution to the system of equations is x = -2, y = -4, and z = 5.

2) The solution to the system of equations is: x = -2, y = 0 and z = -3.

Given are two system of linear equations in three variables, we need to solve them using substitution,

1) -x -y -3z = -9

z = -3x-1

x = 5y - z + 23

2) y = x + z + 5

z = -3y -3

2x - y = -4

1) Let's solve for z in terms of x and y using the third equation:

x = 5y - z + 23

Rearranging this equation, we get:

z = 5y - x + 23

Now we can substitute this value of z into the first equation:

-x - y - 3z = -9

Substituting z = 5y - x + 23:

-x - y - 3(5y - x + 23) = -9

-x - y - 15y + 3x - 69 = -9

2x - 16y = 60 ...(Equation 1)

Now let's substitute z = -3x - 1 into the second equation:

z = -3x - 1

Substituting -3x - 1 for z in the third equation:

x = 5y - (-3x - 1) + 23

Simplifying the equation:

x = 5y + 3x + 1 + 23

Combining like terms:

-2x - 5y = 24 ...(Equation 2)

We now have a system of two equations:

Equation 1: 2x - 16y = 60

Equation 2: -2x - 5y = 24

From Equation 2, we can solve for x in terms of y:

-2x = 5y + 24

x = (-5/2)y - 12

Now we can substitute this value of x into Equation 1:

2x - 16y = 60

Substituting (-5/2)y - 12 for x:

2((-5/2)y - 12) - 16y = 60

Simplifying the equation:

-5y - 24 - 16y = 60

-21y - 24 = 60

-21y = 84

y = -4

Now substitute this value of y back into Equation 1 to find x:

2x - 16(-4) = 60

2x + 64 = 60

2x = -4

x = -2

Finally, substitute the values of x and y into any of the original equations to find z. Let's use the third equation:

x = 5y - z + 23

Substituting x = -2 and y = -4:

-2 = 5(-4) - z + 23

-2 = -20 - z + 23

-2 = 3 - z

-5 = -z

5 = z

Therefore, the solution to the system of equations is x = -2, y = -4, and z = 5.

2) Start with the equation: y = x + z + 5.

Substitute the expression for z from the second equation into the first equation:

y = x + (-3y - 3) + 5.

y = x - 3y + 2.

4y = x + 2.

x = 4y - 2.

2(4y - 2) - y = -4.

8y - 4 - y = -4.

7y - 4 = -4.

7y = 0.

Solve for y:

y = 0/7.

y = 0.

Substitute the value of y back into the expression for x:

x = 4y - 2.

x = 4(0) - 2.

x = -2.

Substitute the value of y back into the expression for z:

z = -3y - 3.

z = -3(0) - 3.

z = -3.

Therefore, the solution to the system of equations is:

x = -2,

y = 0,

z = -3.

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clear question =

Two system of linear equations in three variables, Solve them using substitution,

1) -x -y -3z = -9

z = -3x-1

x = 5y - z + 23

2) y = x + z + 5

z = -3y -3

2x - y = -4

Step-by-step explanation:

remember, in radians means we use the arc lengths of the norm circle (radius 1) as angle size.

that means 360° = 2pi

the area of a full circle is

pi×r²

in our case

pi×8² = 64pi

for a segment only a part of 360° or 2pi is used.

so for the area of a sector we have

pi×r² × xpi/2pi

in our case

64pi × xpi/2pi = 256pi/3

32pi × xpi/pi = 256pi/3

32pi × x = 256pi/3

32x = 256/3

x = 8/3

so, the term we need in our sector area calculation is

8pi/3 :

64pi × (8pi/3)/2pi = 256pi/3

so, D is correct.

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model. The optimal number of notebooks to make in each order is 590 units. The annual ordering cost (AOC) is approximately $892.20. The Annual Holding Cost (AHC) is $3540. The annual product cost (APC) is $233,460. The annual total cost of managing inventory (ATC) is approximately $237,892.20. The total number of orders in the year (N) is 33. The estimated time between each order (T) is approximately 7.58 days. The daily demand is approximately 77.82 units. The reorder point (ROP) is approximately 311 units.

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model.

To find the optimal number of notebooks to make in each order, we can use the EOQ formula:

EOQ = √[(2 * Demand * Ordering Cost) / Holding Cost]

EOQ = √[(2 * 19455 * 27) / 6]

EOQ ≈ 589.96

Since the number of notebooks must be a whole number, the optimal number to order would be 590 notebooks.

The annual ordering cost (AOC) can be calculated by dividing the annual demand by the EOQ and multiplying it by the ordering cost:

AOC = (Demand / EOQ) * Ordering Cost

AOC = (19455 / 590) * 27

AOC ≈ $892.20

The Annual Holding Cost (AHC) is calculated by multiplying the EOQ by the holding cost per unit:

AHC = EOQ * Holding Cost

AHC = 590 * 6

AHC = $3540

The annual product cost (APC) is calculated by multiplying the annual demand by the cost per unit:

APC = Demand * Cost per unit

APC = 19455 * 12

APC = $233,460

The annual total cost of managing inventory (ATC) is the sum of the annual ordering cost, annual holding cost, and annual product cost:

ATC = AOC + AHC + APC

ATC = 892.20 + 3540 + 233460

ATC ≈ $237,892.20

The total number of orders in the year (N) can be calculated by dividing the annual demand by the EOQ:

N = Demand / EOQ

N = 19455 / 590

N ≈ 33

The estimated time between each order (T) can be calculated by dividing the number of working days in a year by the total number of orders:

T = Number of working days / N

T = 250 / 33

T ≈ 7.58 days

The daily demand is calculated by dividing the annual demand by the number of working days in a year:

Daily Demand = Demand / Number of working days

Daily Demand = 19455 / 250

Daily Demand ≈ 77.82 units/day

The reorder point (ROP) is the number of units at which a new order should be placed. It can be calculated by multiplying the daily demand by the lead time (time taken for the supplier to deliver the order):

ROP = Daily Demand * Lead Time

ROP = 77.82 * 4

ROP ≈ 311.28 units

Therefore, the reorder point would be approximately 311 units.

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Answer:

she is correct its all about queen B

Step-by-step explanation:

Answer:

Incorrect

Step-by-step explanation:

First thing she did wrong was applied to distributive property incorrectly. She should of multiplied the numbers in the parenthesis by -1 instead of -12

The magnitude of the matrix X² + y² is greater than the magnitude of the matrix X + y which is a three-dimensional vector.

a) We need to find the following three quantities:||x||:

This is the magnitude of vector x which is a three-dimensional vector.

||y||: This is the magnitude of vector y which is a three-dimensional vector.

||x + y||: This is the magnitude of the vector obtained by adding vectors x and y.

Given x and y,

X= ⎣⎡​201​⎦⎤​,

Y= ⎣⎡​050​⎦⎤​

Let's find ||x||.

We have, x = [201]

Transpose of the vector [201] is [201].

The magnitude of a vector with components (a₁, a₂, a₃) is given by||a||

= √(a1² + a2² + a3²)

So,||x|| = √(2² + 0² + 1²)

           = √5.

Let's find ||y||.

We have, y = [050]

Transpose of the vector [050] is [050].

The magnitude of a vector with components (a₁, a₂, a₃) is given by

||a|| = √(a1² + a2² + a3²)

So,||y|| = √(0² + 5² + 0²)  

          = 5.

Let's find x + y.

We have, x + y = [201] + [050]

                         = [251].

Transpose of the vector [251] is [251].

The magnitude of a vector with components (a₁, a₂, a₃) is given by

||a|| = √(a1² + a2² + a3²)

So,||x + y|| = √(2² + 5² + 1²) = √30.

b) We need to compare the two quantities:

||X² + y²|| and ||X + y||².

We have, X = ⎡⎣​201​0−1⎤⎦ and

y = ⎡⎣​050​0⎤⎦

Let's find X².

We have, X² = ⎡⎣​201​0−1⎤⎦⎡⎣​201​0−1⎤⎦

                     = ⎡⎣​4 0 2​0 0 0​2 0 1​⎤⎦

Let's find y².We have, y² = ⎡⎣​050​0⎤⎦⎡⎣​050​0⎤⎦

                                        = ⎡⎣​0 0 0​0 25 0​0 0 0​⎤⎦

Let's find X² + y².

We have,X² + y² = ⎡⎣​4 0 2​0 25 0​2 0 1​⎤⎦

Let's find ||X² + y²||.

The magnitude of a matrix is given by the square root of the sum of squares of all the elements in the matrix.

||X² + y²|| = √(4² + 0² + 2² + 0² + 25² + 0² + 2² + 0² + 1²)

              = √630.

Let's find X + y.

We have, X + y = ⎡⎣​201​0−1⎤⎦ + ⎡⎣​050​0⎤⎦

                         = ⎡⎣​251​0−1⎤⎦

Let's find ||X + y||².

The magnitude of a matrix is given by the square root of the sum of squares of all the elements in the matrix.

||X + y||² = √(2² + 5² + 1²)²

            = 30.

Let's compare ||X² + y²|| and ||X + y||².

||X² + y²|| = √630 > 30

              = ||X + y||².

From the above calculation, we can observe that the ||X² + y²|| is greater than ||X + y||².

Therefore, we can conclude that the magnitude of the matrix X² + y² is greater than the magnitude of the matrix X + y.

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likely conclude that there is a statistically significant difference between the conditions being compared. This suggests that the observed difference is unlikely to have occurred by chance alone and is more likely due to the effect of the independent variable being studied.

When statistical analyses show that the difference between condition means is larger than would be expected on the basis of error variance alone, it indicates that there is a significant difference between the conditions being compared. In statistical terms, this means that the observed difference is statistically significant.

Statistical significance is a measure of the likelihood that an observed difference or effect is not due to random chance but rather reflects a real effect in the population. In hypothesis testing, researchers set up a null hypothesis, which assumes that there is no difference or relationship between the variables being studied. The alternative hypothesis, on the other hand, suggests that there is a difference or relationship.

By calculating statistical tests, such as t-tests or analysis of variance (ANOVA), researchers can determine the probability of obtaining the observed difference or effect under the null hypothesis. If this probability, often denoted as the p-value, is below a predetermined significance level (commonly set at 0.05), it is considered statistically significant.

When the observed difference is found to be statistically significant, the researcher can reject the null hypothesis and conclude that there is evidence to support their research hypothesis. This suggests that the independent variable being studied has a meaningful effect on the dependent variable.

It is important to note that statistical significance does not imply practical or substantive significance. While a result may be statistically significant, it is still necessary to consider the magnitude and practical implications of the observed difference or effect. Nonetheless, statistical significance is an important criterion for drawing conclusions about the relationships and effects being studied in research.

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Answer:

orange: 0.2$, apple: 0.4$

Step-by-step explanation:

we mark the price of an orange x and the price of an apple y. then we write down Maggie's and Tanya's purchases as a set of equations:

10 oranges and 5 apples for 4$ means:

\(10x + 5y = 4\)

9 oranges and 3 apples for 3$ means:

\(9x + 3y = 3\)

we use the second equation to isolate y:

\(3y = 3 - 9x \\ y = 1 - 3x\)

and plug it in the first equation:

\(10x + 5(1 - 3x) = 4 \\ 10x + 5 - 15x = 4 \\ 1 = 5x \\ x = 0.2\)

and then we find y:

\(y = 1 - 3 \times 0.2 \\ y = 0.4\)

The probability of choosing a black pen first and then another black pen from the bag, without replacement, is approximately 0.19.

To calculate the probability, we consider the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are four black pens in the bag, and once the first black pen is chosen, there are three black pens left out of the total of eight pens remaining.

Therefore, the probability of selecting a black pen first is 4/8, and the probability of selecting another black pen second is 3/7. Multiplying these probabilities together, we get (4/8) * (3/7) = 12/56, which simplifies to approximately 0.19.


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Using rounding concepts, the rounding of $13.59582 to cents is of $13.60.

To round a number to the nearest cent, we have to look at the third decimal digit.

In this problem, the third digit is of 5, which means that one should be added to the second digit, since the sum results in 0 we add to the first digit, hence the rounding of $13.59582 to cents is of $13.60.

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The positive difference is 10,000. The old format had 26^3 = 17,576 possible combinations, while the new format has 26^4 = 456,976 possible combinations. The difference is 456,976 - 17,576 = 439,400, or 10,000 times the original amount.

The old format for license plates used three letters followed by three digits, which provided 26^3 = 17,576 possible combinations. The state changed the format to four letters followed by two digits, offering 26^4 = 456,976 possible combinations. This gives us a positive difference of 10,000 times the original amount, or 456,976 - 17,576 = 439,400. This increase in the number of combinations greatly increases the number of license plates available in the state.

The old license plate format of three letters followed by three digits provided an initial total of 17,576 combinations. This limits the amount of license plates available, as well as the individuality of the plates. In order to increase the number of plates and provide more individuality, the state changed the format to four letters followed by two digits. This new format increases the total number of combinations to 456,976, which is a positive difference of 439,400, or 10,000 times the original amount. This allows for more license plates to be available, as well as more individuality, as there are now 456,976 unique combinations to choose from.

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Solving a simple linear equation we can see that the value of b is 7.

Here we have the point (5, b - 7) and we want to find the value of b such that the point lies on the x-axis.

Remember that a point lies on the x-axis only if the y-value is zero, so we need to solve the linear equation:

b - 7 = 0

Adding 7 in both sides we get:

b - 7+ 7 = 0 + 7

b = 7

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The measure of <1 is 147 degree.

Given:

m∠2 = 12x - 15

m∠7 = 3x + 21

Since angles 2 and 7 are alternate Exterior angles, they are congruent.

So, 12x - 15 = 3x + 21

12x - 3x = 21 + 15

9x = 36

x = 4

So, <2 = 12x - 15= 48 - 15 = 33

Now, <1 + <2 = 180 (Linear Pair)

<1 + 33 = 180

<1 = 147 degree

Thus, the measure of <1 is 147 degree.

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Answer:

A 26 feet below

Step-by-step explanation:

3,000 - 988 + 748 - 885 + 1,099 = 2,974

Answer:

726.65 cubic inches

Step-by-step explanation:

We are going to assume that the head, middle and bottom are spheres.

The formula to get the volume of a sphere is

\(V= \frac{4}{3}\pi r^{2}\) where r is the radius of the sphere.

Now, let's proceed to apply this formula to the 3 spheres of the snowman:

The head is 12 inches wide (diameter), thus, the radius would be 6 inches:

\(V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 6^{2}\\V= \frac{4}{3}\pi 36\\V=\frac{144\pi }{3} \\V=38\pi\) cubic inches

The middle is 16 inches wide (diameter), thus, the radius would be 8 inches.

\(V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 8^{2}\\V= \frac{4}{3}\pi 64\\V=\frac{256\pi }{3} \\V=85.3\pi\)  cubic inches

The bottom is 18 inches wide (diameter), thus the radius would be 9 inches.

\(V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 9^{2}\\V= \frac{4}{3}\pi 81\\V=\frac{324\pi }{3} \\V=108\pi\) cubic inches.

Now, to get the total volume of the snowman we're going to sum up the volume of all three spheres:

Total volume = \(38\pi +85.3\pi +108\pi =231.3\pi\) cubic inches.

If we take pi = 3.1416,

Total volume = \(231.3(3.1416)=726.65\) cubic inches.

The expected value of the number of games played is 5.5 games, and the variance is 1.25.

To find the expected value of the number of games played, we need to consider all the possible ways the match can end. Since the match is a best of 7, one team needs to win at least 4 games. The possible outcomes are:

Team A wins in 4 games: AAAA

Team A wins in 5 games: AABAA or ABAAA

Team A wins in 6 games: ABAABA, ABABAA, or ABBAAA

Team A wins in 7 games: ABABABA, ABABAB, ABBABAA, or ABBABAAA

Similarly, we can list the possible outcomes for Team B winning in 4, 5, 6, or 7 games. However, since both teams are equally likely to win each game, the probability of each outcome is the same. Therefore, the expected value of the number of games played is:

E(X) = (41/8) + (52/8) + (63/8) + (72/8) = 5.5 games

To find the variance, we need to first calculate the squared deviation from the expected value for each outcome. For example, for the outcome AABAA, the deviation is (5-5.5) = -0.5, and the squared deviation is (-0.5)^2 = 0.25. We can then multiply each squared deviation by the probability of that outcome and sum them up,

Var(X) = (1/8)(4-5.5)^2 + (2/8)(5-5.5)^2 + (3/8)(6-5.5)^2 + (2/8)(7-5.5)^2

= 1.25

Therefore, the expected value of the number of games played is 5.5 games, and the variance is 1.25.

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In statistical analysis, a hypothesis refers to a tentative explanation or prediction that is based on limited evidence and is subject to further investigation and testing. It is a statement that can be either true or false, and is typically formulated in such a way that it can be tested using statistical methods.

The hypothesis is often used to guide the research process, to help identify potential patterns or relationships in the data, and to evaluate the significance of the results.

Overall, the hypothesis plays a critical role in statistical analysis, as it provides a framework for understanding and interpreting data, and helps to ensure that research findings are reliable and valid.

A hypothesis in the context of statistical analysis is a tentative explanation or prediction about the relationship between two or more variables, which is subject to testing and empirical evaluation using statistical methods.

It is a statement that can be either true or false, and it is usually formulated in terms of the expected direction and strength of the relationship between the variables of interest.

The hypothesis is typically derived from existing theory, prior research, or common sense, and it serves as a guide for the collection, analysis, and interpretation of data in a scientific study.

The process of testing a hypothesis involves setting up null and alternative hypotheses, selecting an appropriate statistical test, collecting and analyzing data, and drawing conclusions based on the results of the analysis.

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The net annual percentage growth rate of the city population is 0.4%

To calculate the net annual percentage growth rate of a population, we can use the following formula:

Net Annual Percentage Growth Rate = ((Births + Immigrants) - (Deaths + Emigrants)) / Initial Population x 100%

Plugging in the given values, we get:

Net Annual Percentage Growth Rate =\(((100 + 10) - (40 + 30)) / 10,000 x 100%\)

Net Annual Percentage Growth Rate = \((40 / 10,000) x 100%\)

Net Annual Percentage Growth Rate =\(0.4%\)

The net annual percentage growth rate of the city population is 0.4%

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Answer:

5 HOURS

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

Answer:

14.

Step-by-step explanation:

this a addition problem since it says "overall".

you simply add them.

The solution of x in terms of w and k from 3(x - k)/w = 4 is;

Option A; ⁴/₃w + k

We are given;

3(x - k)/w = 4

We want to find x in terms of w and k.

Step 1; Using multiplication property of equality, let us multiply both sides by w to get;

(3(x - k)/w) × w = 4 × w

⇒ 3(x - k) = 4w

Step 2; Using division property of equality, divide both sides by 3 to get;

3(x - k)/3 = 4w/3

x - k = 4w/3

Step 3; Using addition property of equality, add k to both sides to get;

x = ⁴/₃w + k

In conclusion the solution to the question is; x = ⁴/₃w + k

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The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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Answer:

interest rate=45.04

I after 8 years=5994

step on step explainaton:

I=PRT

1500=1665×r/100×2

r=45.04

I after 8 years= I=PRT

=1665×45/100×8=5994

we obtain a row of zeros in subset, indicating that the set {(1, 4, 6), (1, 5, 8), (2, -1, 1), (0, 1, 0)} is not linearly independent.

To determine if a set of vectors is linearly independent, we need to check if the only solution to the equation a(1, 4, 6) + b(1, 5, 8) + c(2, -1, 1) + d(0, 1, 0) = (0, 0, 0) is when a = b = c = d = 0.

By setting up the corresponding system of equations and solving it, we can find the values of a, b, c, and d that satisfy the equation. However, a more efficient method is to create an augmented matrix with the vectors as columns and row-reduce it.

Performing row operations on the augmented matrix, we can transform it to its reduced row-echelon form. If the resulting matrix has a row of zeros, it would indicate that the vectors are linearly dependent. However, if the matrix does not have a row of zeros, it means that the vectors are linearly independent.

In this case, when we row-reduce the augmented matrix, we obtain a row of zeros, indicating that the set {(1, 4, 6), (1, 5, 8), (2, -1, 1), (0, 1, 0)} is not linearly independent.

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Answer:

n=3

Step-by-step explanation:

I hope this helps. You just fill in -2 into d.