Suppose that x is a vector and we want to raise every component of the vector x to the power 3, and we want to know how long Matlab took to perform this calculation. What Matlab commands (using 12 characters or less) could achieve this? Note that your answer must produce the desired result when copied and pasted directly into Matlab (assuming that the vector x has already been defined)

Answer:

all real numbers

Step-by-step explanation:

distribute the 2

2x+2=-8x+12+10x-10

combine like terms on each side

2x+2=2x+2

0=0

all real numbers

Answer:

2/3

Step-by-step explanation:

There is a 2 in 3 chance the pointer will not land on c or d.

Rounding to the nearest tenth of a percent, we find that approximately 65.5% of the data is less than 105.

To find the percentage of the data that is less than 105 in a normal distribution with a mean of 100 and a standard deviation of 15, we can use the standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we need to calculate the z-score for the value 105, which represents the number of standard deviations away from the mean:

z = (x - μ) / σ,

where x is the value (105), μ is the mean (100), and σ is the standard deviation (15).

Substituting the values:

z = (105 - 100) / 15 = 5 / 15 = 1/3.

Looking up the z-score of 1/3 in the standard normal distribution table, we find that it corresponds to approximately 0.6293.

The percentage of the data that is less than 105 can be calculated by converting the z-score to a percentile:

Percentile = (0.5 + 0.5 * erf(z / √2)) * 100,

where erf is the error function.

Substituting the z-score into the formula:

Percentile = (0.5 + 0.5 * erf(1/3 / √2)) * 100 = (0.5 + 0.5 * erf(1/3 / 1.414)) * 100.

Calculating this value gives us approximately 65.48.

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Answer:he team advisor randomly chooses 4 students to debate in the next competition. How many different ways can a team that includes Joseph, Malena, Carlos, and Abby be chosen? ... If two angles are congruent, then they are vertical angles.

Step-by-step explanation:

The value of the give expression is  \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

From the question, we are to determine the value of

2(5+34-67/45*43)^2

This can be written as

\(2 (\frac{5+34-67}{45 \times 43 })^{2}\)

First, we will simplify the bracket

\(2 (\frac{-28}{1935 })^{2}\)

Then, we get

\(2 \times \frac{-28}{1935 }\times \frac{-28}{1935 }\)

= \(\frac{1568}{3744225}\)

= \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

Hence, the value of the give expression is  \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

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Answer:

2

Step-by-step explanation:

el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2

Answer: 2

Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2    Espero que ayude Ten un día maravilloso :)

Answer:

2y = 3x-1

Step-by-step explanation:

We start by calculating the slope of AB

m = (y2-y1)/(x2-x1) = (2-5)/(4-6) = 3/2

Since the two lines are parallel, then their slopes are equal

We use the point-slope form to get the equation

That will be;

y-y1 = m(x-x1)

y-10 = 3/2(x-7)

y = 3x/2-21/2+ 10

Multiply through by 2

2y= 3x -21 + 20

2y = 3x-1

Answer:

A number line going from 95 to 103. A closed circle is at 98.6. Everything to the right of the circle is shaded.

Step-by-step explanation:

We want to determine the graph of \(x\geq 98.6.\)

Since we have the sign, \(\geq\), we use a closed circle to show that the number 98.6 is included in the domain of definition.

Then since the sign is greater than, we shade to the right of 98.6.

The correct option is A.

I will say it fast the answer is A

Step-by-step explanation:

And hi

The health club has 2 employees who work on lead generation. Each employee contacts leads for 20 hours a week and is paid $20 per hour. Approximately 8% of the leads become members and pay a one-time fee of $100. Material costs are $190 per week, and overhead costs are $1,100 per week. To analyze the productivity of the operation, we need to calculate the multifactor productivity in fees generated per dollar of input. The owner is also considering purchasing a new software program that would allow each employee to contact 20 more leads per week, but it would increase material costs by $260 per week. We need to calculate the new multifactor productivity if the software is purchased and determine how it would affect productivity.

a. To calculate the multifactor productivity, we need to determine the total fees generated and the total input costs. The total fees generated per week can be calculated as 8% of the total number of leads contacted multiplied by the one-time fee of $100, which is (0.08 * 200) * $100 = $1,600. The total input costs per week are the sum of employee wages, material costs, and overhead costs, which is (2 employees * 20 hours/week * $20/hour) + $190 + $1,100 = $2,490. Therefore, the multifactor productivity is $1,600 / $2,490 = 0.64.

b. If the owner purchases the software program and each employee can contact 20 more leads per week, the total number of leads contacted per week by both employees will be 2 * (200 + 20) = 440. The new material costs per week will be $190 + $260 = $450. The overhead costs remain the same at $1,100. The total input costs per week become (2 employees * 20 hours/week * $20/hour) + $450 + $1,100 = $1,650. The new multifactor productivity is $1,600 / $1,650 = 0.97.

c. The new multifactor productivity after purchasing the software program has increased to 0.97 from the previous value of 0.64. The change in productivity can be calculated as ((0.97 - 0.64) / 0.64) * 100 = 51.6%. Therefore, purchasing the software program would increase productivity by approximately 51.6%.

By analyzing the multifactor productivity and the impact of purchasing the software program, the owner can make an informed decision about whether the investment is worthwhile considering the potential increase in productivity.

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Approximately 0.4772, or 47.72% of cans, contain less than 12 oz.

To calculate the proportion of cans that contain less than 12 oz, we need to find the area under the normal distribution curve to the left of 12 oz. We can use z-scores and the standard normal distribution table to determine this proportion.

First, we need to calculate the z-score for 12 oz using the formula:

z = (x - μ) / σ

where x is the value (12 oz), μ is the mean (12.06 oz), and σ is the standard deviation (0.03 oz).

z = (12 - 12.06) / 0.03

z = -0.06 / 0.03

z = -2

Next, we can use the standard normal distribution table or a calculator to find the proportion associated with the z-score of -2. In the standard normal distribution table, the area to the left of -2 is approximately 0.0228.

However, since we are interested in the proportion of cans containing less than 12 oz (not less than or equal to 12 oz), we need to subtract this value from 0.5 (which represents the total area under the curve):

Proportion = 0.5 - 0.0228

Proportion = 0.4772

Therefore, approximately 0.4772, or 47.72% of cans, contain less than 12 oz.

Based on the given mean (12.06 oz) and standard deviation (0.03 oz) of the fill volume of cans, we calculated the proportion of cans that contain less than 12 oz using the normal distribution. The proportion was found to be approximately 0.4772, or 47.72%.

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x=4

Step-by-step explanation:

Distrubutive property: 5x-50=30-15x

get x on one side: 5x-50+15x=30

combine like terms: 20x-50=30

subtract on both sides: 20x=30+50

20x=80

simplify: 20/20=80/20

x=4

Minimum cost in the last row of the DP table: min(DP[5][j]) = min(DP[5][0], DP[5][1], DP[5][2], DP[5][3], DP[5][4], DP[5][5], DP[5][6], DP[5][7], DP[5][8])

Trace back the optimal path: Follow the minimum cost path from the last week to the first week.

To find the optimal planning of worker employment for the construction contractor using dynamic programming, we can use the following steps:

Define the problem:

Decision variables: The number of workers to employ in each week.

Objective function: Minimize the total cost of worker employment over the 5-week period.

Constraints: The number of workers in each week should be between 0 and the maximum requirement for that week.

Formulate the dynamic programming problem:

Let's define the following variables:

DP[i][j]: The minimum cost of worker employment for weeks 1 to i, given that j workers are employed in the ith week.

Cost[i][j]: The cost of employing j workers in the ith week.

Requirement[i]: The required number of workers in the ith week.

Initialize the dynamic programming table:

Set DP[0][j] = 0 for all j from 0 to the maximum requirement for the first week.

Perform dynamic programming iterations:

For each week i from 1 to 5:

For each possible number of workers j from 0 to the maximum requirement for that week:

Compute the cost of employing j workers in the ith week: Cost[i][j] = 400 + (200 * j) + (300 * max(0, (j - Requirement[i])))

Set DP[i][j] = min(DP[i-1][k] + Cost[i][j]) for all k from 0 to the maximum requirement for the previous week.

Determine the optimal solution:

Find the minimum cost in the last row of the DP table, DP[5][j].

Trace back the optimal worker employment plan by following the minimum cost path from the last week to the first week.

Let's apply these steps for two iterations to find the optimal worker employment plan:

Iteration 1:

Initialization:

DP[0][j] = 0 for all j from 0 to the maximum requirement for the first week.

Compute DP[i][j] for each week i from 1 to 5:

Week 1:

For j = 0: Cost[1][0] = 400 + (200 * 0) + (300 * max(0, (0 - 5))) = 400 + 0 + 0 = 400

DP[1][0] = DP[0][0] + Cost[1][0] = 0 + 400 = 400

For j = 1: Cost[1][1] = 400 + (200 * 1) + (300 * max(0, (1 - 5))) = 900

DP[1][1] = DP[0][0] + Cost[1][1] = 0 + 900 = 900

For j = 2: Cost[1][2] = 400 + (200 * 2) + (300 * max(0, (2 - 5))) = 1400

DP[1][2] = DP[0][0] + Cost[1][2] = 0 + 1400 = 1400

For j = 3: Cost[1][3] = 400 + (200 * 3) + (300 * max(0, (3 - 5))) = 1900

DP[1][3] = DP[0][0] + Cost[1][3] = 0 + 1900 = 1900

Weeks 2 to 5: (similar calculations as above)

Optimal solution after the first iteration:

Minimum cost in the last row of the DP table: min(DP[5][j]) = min(DP[5][0], DP[5][1], DP[5][2], DP[5][3], DP[5][4], DP[5][5], DP[5][6], DP[5][7], DP[5][8])

Trace back the optimal path: Follow the minimum cost path from the last week to the first week.

Iteration 2:

Initialization:

DP[0][j] = 0 for all j from 0 to the maximum requirement for the first week.

Compute DP[i][j] for each week i from 1 to 5:

Week 1: (similar calculations as in the first iteration)

Weeks 2 to 5: (similar calculations as above)

Optimal solution after the second iteration:

Minimum cost in the last row of the DP table: min(DP[5][j]) = min(DP[5][0], DP[5][1], DP[5][2], DP[5][3], DP[5][4], DP[5][5], DP[5][6], DP[5][7], DP[5][8])

Trace back the optimal path: Follow the minimum cost path from the last week to the first week.

You can continue this process for additional iterations to find the optimal worker employment plan.

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Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin  

Step-by-step explanation:

Assume that the mapping is like that in Fig. 1.

1. Reflection about x = -2

It looks like the first transformation is a reflection about the line x = -2

When you reflect a shape about a line, each point in the image is the same distance from the line of reflection as the corresponding point in the pre-image.  

The rule for reflection about a line x = h is (x,y) ⟶ (2h - x, y}

We can use the rule to calculate the coordinates of the first image.

\(\begin{array}{cc}\textbf{A} & \textbf{A"} \\(-5,5) & (1,5) \\(-2,5) & (-2,5) \\(-1,1) & (-3,1) \\(-4, 1) & (0,1) \\\end{array}\)

2. Rotation 90° clockwise about the origin

It looks like the second transformation is a 90° clockwise rotation about the origin.

The rule is (x,y) ⟶ (y,-x).

In other words, interchange x and y and make x negative.

\(\begin{array}{cc}\textbf{A"} & \textbf{A'} \\(1,5) & (5,-1) \\(-2,5) & (5,2) \\(-3,1) & (1,3) \\(0, 1) & (1,0) \\\end{array}\)

These are the coordinates of P'Q'R'S'.

Figure 2 shows the reflection of A across the line x = -2 to give A" and its rotation to give A'.

Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin

Step-by-step explanation:

Answer:

The answer is "Expression: x+(x+2)".

Step-by-step explanation:

Given:

The sum of two consecutive even numbers

Proving:

Let,

The First number is = x

The second consecutive number is = x+2

Calculating value by adding value:

Expression:

\(\Rightarrow x+(x+2)\\\\\)

when x= 1, 2, 3 .... it gives:

\(\Rightarrow 1+(1+2)= 1+3=4\\\\\Rightarrow 2+(2+2)= 2+4=6\\\\\Rightarrow 3+(3+2)= 3+5=8\\\)

That's why the sum of consecutive numbers is even.

Answer:

x = 51°

Step-by-step explanation:

The sum of all angles in a triangle is 180°.  (Angle Sum Property)

We already know 2 angles, the right angle and the 39°.

(x + 90 + 39)° = 180°

(x + 129)° = 180°

x = (180 - 129)°

x = 51°

Answer:

X=  70.5

Step-by-step explanation:

The area of a triangle is 180

180 - 39 = 141

141/2 = 70.5

70.5 + 70.5 + 39 = 180

answers

105= 5×5×5

Step-by-step explanation:

priya is wrong because 105 factorism is 5×5×5

Answer:

105= 5×5×5

Step-by-step explanation:

Priya is wrong because 105 factorism is 5×5×5

Answer:

  3/2

Step-by-step explanation:

Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...

  (4, 1) and (6, 4)

The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:

  slope = "rise"/"run" = 3/2

The slope of the graphed line is 3/2.

Answer:

r=x^2

Therefore the missing term is 5x^4

Step-by-step explanation:

To get to the next term multiply by r.

r=x^2

Therefore, 5x^2 multiplied by x^2 gives 5x^4

r=x^2

Therefore the missing term is 5x^4

Step-by-step explanation:

To get to the next term multiply by r.

r=x^2

Therefore, 5x^2 multiplied by x^2 gives 5x^4

Answer:

equation : y = 8.35x - 16766.5

Explanation:

Given coordinates: (2010, 17.0) , (2008, 0.3)

To find slope:  ( y2 - y1 ) / ( x2 - x1 )

                     : ( 0.3 - 17 ) / ( 2008 - 2010 )

                     :     -16.7 / -2

                     :         8.35       .................this is the slope, m

using the formula: y - y1 = m ( x - x1 )   ...............  to find equation

                             : y - 17 = 8.35 ( x - 2010 )

                             : y = 8.35x - 16766.5

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

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SOLUTION:

Step 1:

From the given question, and comparing the scores in classes A and B

Step 2:

Question one, to know the class which had the better overall result on the exam;

(I) The scores in class A ranges from 65 to 100, while that of class B ranges from 60 to 90. This explains that class A had better results.

(ii) The median of the scores in class A is 85, while the median of the scores in class B is 75, this is another piece of supporting evidence that class A had better results.

Step 3:

Question two, to know the class which had greater variability in the results;

For a better understanding of this question, I need to explain the concept of variability in statistics.

Variability in statistics refers to the difference being exhibited by data points within a data set, as related to each other or as related to the mean. This can be expressed through the range, variance or standard deviation of a data set.

Step 4:

So we need to find the range of scores in each of the two classes and then compare, the class with the greater range has the greater variability.

The Range is the difference between the lowest and highest score (H - L), where H is the highest score and L is the lowest score.

Step 5:

Applying the formula for range stated in step 4;

For Class A; H = 100 and L = 65

For Class B; H = 90 and L = 60

The range for class A; H - L = 100 - 65 = 35

The range for class B; H - L = 90 - 60 = 30

By comparing the range of class A and that of B, it is clear that Class A had a greater range (variability)

CONCLUSION:

Class A had better overall results in the exam and greater variability in the results.

Answer:

Convert to decimals:

1.5 and 0.75

Then, set up a proportion

1.5/0.75=x/1

proportion x/y=x/y

since the 3/4 and 1 are the same topic ( the room) we put them together.

Solve: 1.5/0.75=x

x=2

So 2 gallons

Hope this helps plz hit the crown :D

answer:

The correct answers are choices B, C, and D. Here is an explanation for each choice: B. All congruent figures are exactly the same size and shape. This is what makes one figure congruent to another. C. If the figures are the same size and shape, then the corresponding sides will also be congruent. D.If the figures are the same size and shape, then the corresponding angles will also be congruent.

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation: