Please help me with my work

The range of c for which the optimal solution does not change is c = 2.

To determine the range of c for which the optimal solution does not change, we need to identify the values of c for which the objective function remains parallel to the original objective function 2x1 + 5x2.

In the original problem, the objective function is Z = 2x1 + 5x2.

If we change the coefficient of x1 to c, the new objective function becomes Z = cx1 + 5x2.

To keep the optimal solution unchanged, we need the direction of the objective function to remain the same. This means that the slope of the new objective function should be the same as the original objective function (2x1 + 5x2).

The slope of the new objective function is equal to the coefficient of x1, which is c. Therefore, for the optimal solution to remain the same, the value of c must be equal to 2.

So, the range of c for which the optimal solution does not change is c = 2.

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Answer:

son 0222

Step-by-step explanation:

espero que te ayude

The expression is simplified to give 2(9x + 2√3x - 5)

First, we need to know that surds are mathematical forms that can no longer be simplified to smaller forms

From the information given, we have that;

(2√3x - 2)(3√3x + 5)

expand the bracket, we get;

6√9x² + 5(2√3x) - 6√3x - 10

Find the square root factor

6(3x)  + 10√3x - 6√3x - 10

collect the like terms, we have;

18x + 4√3x - 10

Factorize the expression, we have;

2(9x + 2√3x - 5)

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The options that are included in the different system implementation methods are:

a. Phased implementation

b. Project implementation

c. Parallel implementation

e. Pilot implementation

System implementation is the process of introducing a new system or making changes to an existing one. There are several methods for system implementation, each with its advantages and disadvantages.

Phased implementation: This method involves introducing the new system in phases, where each phase is implemented and tested before the next one is started. This approach is suitable for large and complex systems, as it allows for thorough testing and minimizes risks.

Project implementation: This method involves introducing the new system all at once, often after an extensive planning phase. This approach is suitable for smaller systems, where risks can be managed, and a quick implementation is desirable.

Parallel implementation: This method involves running the old and new systems simultaneously for a period of time. This approach allows for a gradual transition to the new system, with minimal disruption to operations.

Pilot implementation: This method involves introducing the new system to a small group of users or departments first. This approach allows for thorough testing and provides an opportunity for feedback and adjustment before a full-scale implementation.

The other options provided, such as planning implementation, perfecting implementation, and plunge implementation, are not commonly used terms in the context of system implementation.

Ultimately, the choice of system implementation method will depend on factors such as the size and complexity of the system, the available resources, and the desired outcomes.

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Answer:

3x³ + 29x² + 10x - 50

Step-by-step explanation:

(3x + 5))(x² + 8x - 10)

each term in the second factor is multiplied by each term in the first factor , that is

3x(x² + 8x - 10) + 5(x² + 8x - 10) ← distribute parenthesis

= 3x³ + 24x² - 30x + 5x² + 40x - 50 ← collect like terms

= 3x³ + 29x² + 10x - 50

Answer: 3x³+29x²+10x-50.

Step-by-step explanation:

\((3x+5)*(x^2+8x-10)=\\3x*(x^2+8x-10)+5*(x^2+8x-10)=\\3x^3+24x^2-30x+5x^2+40x-50=\\3x^3+29x^2+10x-50.\)

The smallest sample observation that can increase 8.1 without changing the sample median's value is 4.4.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set. Simply expressed, the sample median is the middle value after sorting the observations in ascending order if the sample size is odd. The sample median is the average of the two middle values if the sample size is equal. The data set's median value is the value that falls in the middle, ordered by magnitude. The sample median is the average of the two middle terms when the number of samples in the data set is even. When the data set is symmetrically distributed, the sample mean serves as a reliable indicator of the central tendency.

The median can be calculated as (12.5+12.6)/2=12.55.

The incremented least observed value is 12.5-8.1=4.4, and the difference is that.

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The line which passes through (-4,2) and (-5,0) has a slope of 2.

Let,

\((x_{1},y_{1})\) = (-4,2)

\((x_{2},y_{2})\) = (-5,0)

If the points are equal to each other, their x-coordinates are equal to each other:

\(x_{1}\)=-4

\(x_{2}\)=-5

If the points are equal to each other, their y-coordinates are equal to each other:

\(y_{1}\)=2

\(y_{2}\)=0

The slope, m is the steepness of a line and it is measured as the ratio of the change in vertical distance, rise over the change in horizontal distance, run.

The slope of the line, m:

m = (\(y_{2}\)-\(y_{1}\))/(\(x_{2}\)-\(x_{1}\))

m=(0-2)/(-5-(-4))

m=(-2)/(-1)

m=2

The slope of the line for the two points is 2.

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Answer:

Based on this construction, CB = 16  units and AB =  32

units.

Step-by-step explanation:

CB is the same number as AC, which is 16 units. They meet at the same end point, C.

AB is just AC, and CB combined. 16 + 16 = 32 units.

As per perpendicular bisector of a line, CB is 16 units and AB is 32 units.

"A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point."

In the given diagram, the line drawn on AB and passes through the point C is the perpendicular bisector of the line AB.

Therefore, \(AC = CB = \frac{1}{2}AB\)

Given, \(AC = 16\) units.

Therefore, \(CB = 16\) units.

Now,

\(AB\\= 2AC\\\)

\(= 2(16)\) units

\(= 32\) units  

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Answer:

The Gonzales family used the water sprinkler for 20 hours

The Brown family used the water sprinkler for 35 hours

Step-by-step explanation:

Let represent

Number of hours that the Gonzales family used the water sprinkler = x

Number of hours that the Brown family used the water sprinkler = y

The families used their sprinklers for a combined total of 55 hours

Hence,

x + y = 55 ...... Equation 1

x = 55 - y

The water output rate for the Gonzales family sprinkler was 35 L per hour.

35L × x = 35x

The water output rate for the brown family's sprinkler was 30 L per hour.

30L × y = 30y

The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1750 L.

Hence, we have:

35x + 30y = 1750..... Equation 2

Substitute x = 55 - y in Equation 2

35(55 - y) + 30y = 1750

1925 - 35y + 30y = 1750

Collect like terms

1925 - 1750 = 35y - 30y

175 = 5y

y = 175/5

y = 35 hours

Since:

x = 55 - y

x = 55 - 35

x = 20 hours

Since Number of hours that the Gonzales family used the water sprinkler = x,

The Gonzales family used the water sprinkler for 20 hours

Since number of hours that the Brown family used the water sprinkler = y,

Hence, the Brown family used the water sprinkler for 35 hours

Answer:

8

Step-by-step explanation:

do 8÷1.6 that gives you 5

so then to get your bottom length do 5×5=25

so then do 1.6×5 and that gives you 8

The annual depreciation expense would be calculated as ($4,800 - $800) / 10 = $400. The journal entry for the first year would be:

Depreciation Expense=  $400, Accumulated Depreciation = $400

The journal entry for the first year, given the production of 300 units, would be:

Depreciation Expense         $600 (300 units * $2)

  Accumulated Depreciation    $600

The journal entry for the first year, using a double-declining-balance rate of 20% (twice the straight-line rate of 10%), would be:

Depreciation Expense         $960 ($4,800 * 20%)

  Accumulated Depreciation    $960

1. Straight-Line Depreciation:

The straight-line depreciation method allocates an equal amount of depreciation expense each year over the useful life of the equipment. In this case, the annual depreciation expense would be calculated as ($4,800 - $800) / 10 = $400. The journal entry for the first year would be:

Depreciation Expense         $400

  Accumulated Depreciation    $400

2. Units-of-Production Depreciation:

The units-of-production method bases depreciation on the actual units produced. The depreciation per unit is calculated as ($4,800 - $800) / 2,000 = $2 per unit. The journal entry for the first year, given the production of 300 units, would be:

Depreciation Expense         $600 (300 units * $2)

  Accumulated Depreciation    $600

3. Double-Declining-Balance Depreciation:

The double-declining-balance method accelerates depreciation in the early years of the asset's life. The depreciation rate is twice the straight-line rate. The journal entry for the first year, using a double-declining-balance rate of 20% (twice the straight-line rate of 10%), would be:

Depreciation Expense         $960 ($4,800 * 20%)

  Accumulated Depreciation    $960

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Let x= the average for all three classes combined. So x=85.25.

When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.

The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.

average  =  total points / number of students

total points = average*number of students

Let the total number of students in  each class = a , b  and x

The total number of points the first class amassed  was   80a

The total number of points amassed by the second class was  85b

The total number of points amassed by the third class = 89c

For the first two classes we have

[ 80a + 85b ] / [ a + b] = 83

80a + 85b = 83a + 83b  

subtract  80a, 83b from both sides    

3a = 2b

a = 2/3b

For the second two classes we have

[ 85b + 89c ]  / [ b + c ]  =  87  

[  85b + 89c ]  = 87 [b + c]

85b + 89c = 87b + 87c      

subtract  85b, 87c from both sides

2c = 2b  

b  = c

For the three classes.....

Total points by all three classes /  number of class members  = the average for all three classes

[ 80a + 85b  + 89c ] /  [ a + b + c ]   =[sub for  a and c ]  

[80 (2/3)b  + 85b  + 89b]  /  [ (2/3)b  + b  + b ]  

b [ 80 (2/3)  + 85  + 89 ]  / [  b [( 2/3) + 1 + 1] ]       [cancel the b's ]

[ 80 (2/3) + 85 + 89]  [  8/3 ]

[ 160/3 + 85 + 89 ] /  [8/3] =

[ 160/3  + 255/3 + 267/3]  / [8/3]     multiply  top/bottom by 3

[160 + 255 + 267 ] / 8  =  

85.25  = average for all three classes

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The residual if you know the actual number is 3 and the predicted value is 1.6l is 1.4.

The residual is a measure of the difference between the predicted value and the actual value. In this case, the actual number is 3, and the predicted value is 1.6. To find the residual, we subtract the predicted value from the actual value:

Residual = Actual Value - Predicted Value

= 3 - 1.6

= 1.4

Therefore, the residual in this case is 1.4.

The residual represents the error or the amount by which the predicted value differs from the actual value.

A positive residual indicates that the predicted value is lower than the actual value, while a negative residual indicates that the predicted value is higher than the actual value.

In this case, the positive residual of 1.4 indicates that the predicted value of 1.6 underestimates the actual value of 3 by 1.4.

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The range of a function is the set of all possible output values that the function can take. In this case, since the function has a vertex and opens upward, its minimum value is -9, which is achieved at x = 1. Thus, the range of f is the set of all real numbers greater than or equal to -9, which can be written as R(f) = [-9, ∞).

Given function is f(x) = x²-2x-8.

1.1 Determine the y-intercept. There are different ways to find the y-intercept of a function, but the simplest way is to plug x = 0 into the function and solve for f(0). Thus, f(0) = 0² - 2(0) - 8 = -8. Therefore, the y-intercept is (0, -8).

1.2 Determine the x-intercept(s), if any. The x-intercepts of a function are the values of x for which f(x) = 0. Hence, to find the x-intercepts of the given function, we need to solve the equation x² - 2x - 8 = 0 by factoring or using the quadratic formula. Factoring: x² - 2x - 8 = 0 is equivalent to (x - 4)(x + 2) = 0. Therefore, the x-intercepts are (4, 0) and (-2, 0).

1.3 Determine the vertex (turning point). The x-coordinate of the vertex of a quadratic function of the form f(x) = ax² + bx + c is given by -b/(2a), while the y-coordinate is obtained by substituting this value of x into the function. In this case, a = 1, b = -2, and c = -8. Thus, x = -b/(2a) = -(-2)/(2(1)) = 1 is the x-coordinate of the vertex. Substituting x = 1 into the function, we get f(1) = 1² - 2(1) - 8 = -9. Therefore, the vertex is (1, -9).

1.4 State the equation for the axis of symmetry. The axis of symmetry is the vertical line passing through the vertex of the parabola. Since the x-coordinate of the vertex is x = 1, the equation of the axis of symmetry is x = 1.

1.5 By only using your answers obtained for Questions 1.1 to 1.4, graph the function. The graph of the function f(x) = x²-2x-8 is shown below: The x-intercepts are (-2, 0) and (4, 0), the y-intercept is (0, -8), the vertex is (1, -9), and the axis of symmetry is x = 1.

1.6 Does this graph represent a one-to-one relationship?

No, the graph does not represent a one-to-one relationship. This is because the function has a U-shaped curve and the horizontal line y = -8 intersects it at two points, namely (-2, -8) and (4, -8). Therefore, the function is not injective (one-to-one) because two different inputs, -2 and 4, yield the same output, -8.

1.7 State the domain of f. The domain of a function is the set of all possible input values for which the function is defined. In this case, since the function is a polynomial, it is defined for all real numbers. Therefore, the domain of f is the set of all real numbers, which can be written as D(f) = (-∞, ∞).

1.8 State the range of f. The range of a function is the set of all possible output values that the function can take. In this case, since the function has a vertex and opens upward, its minimum value is -9, which is achieved at x = 1. Thus, the range of f is the set of all real numbers greater than or equal to -9, which can be written as R(f) = [-9, ∞).

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Answer: The formula for calculating simple interest is given by :

S.I =

For Monica

S.I = 300 x 3.4 x 1 / 100

S.I = $10.2

For Paul

S.1 = 400 x 2.4 x 1 / 100

S.I = $9.6

Therefore : Monica earned more interest

Step-by-step explanation:

Answer:

U=(0,-3) s=(10,-8)

Step-by-step explanation:

Plot it and then just draw the rectangle again with the same length as the original one

Answer:

C.

1 ≤ w ≤ 5

Step-by-step explanation:

Move all terms not containing  

w

from the center section of the inequality.

Inequality Form:

1 ≤ w ≤ 5

Interval Notation:

[ 1 , 5 ]

The miles of distance flown by the satellite in 20.04hours is 112,224miles

A rate is the ratio between two related quantities in different units.

For example the satellite flies in a particular distance at a particular time. The two quantities here are distance in miles and time in hours

The satellite flies 133616 miles in 28.86hours

this means that in 1hour it will fly a distance of 133616/28.86= 5600miles

Therefore for 20.04 hours it will fly 5600× 20.04

= 112,224miles

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Answer:

There is a one in six chance that a randomly selected radio plays country music.

Step-by-step explanation:

There is a 3/18 chance but that can be simplified if you divide both sides by 3 to get 1/6

Answer:

the answer will be 15 number D

Answer:

x = 15 (D)

Step-by-step explanation:

First, we distribute the -1/2:

-1/2 x x = -1/2x

-1/2 x 5 = -2.5

Now we have -1/2x + (-2.5) = -10

Move the variables to one side and the regular numbers on the other (in other words, subtracting both sides by -2.5:

-1/2x = -10 + 2.5

-1/2x = -7.5

x = -7.5/(-1/2)

x = 15   (D)

Answer:

24/9

Step-by-step explanation:

-20-4=-24

-8-1=-9

Answer:

Step-by-step explanation:

To find the distance traveled, we need to subtract the starting odometer reading from the ending odometer reading.

In this case:

Journey distance = 12714 km - 12138 km = 576 km

So the journey was 576 kilometers.

By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

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The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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Answer:

Step-by-step explanation:

Its 4.24 to the nearest hundredth because I input the square root of 18 in my caclulator.

Since the side length is three units, the specified rectangular prism's volume will be 27 units.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.

Here,

Length of side=3 units

Volume=(side)³

=3³ unit

=27 unit³

The length of side is 3 unit, so the volume of the given rectangular prism will be 27 unit.

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Answer:

Step-by-step explanation:

Quotient of a and 399 : \(\dfrac{a}{399}\)

181 times z = 181*z = 181z

Equation:

\(\dfrac{a}{399}=181z\)

Answer:

a/399 = 181z

Step-by-step explanation:

The quotient means division, so the quotient of a and 399 ---> a / 399

Times means multiplying so, 181 times z ----> 181z

Put the two together, and you have ---> a/399 = 181z

Answer:

n = 7

Step-by-step explanation:

Your answers are correct.

For problem 3, we use error estimation:

| (-2)ⁿ⁺¹ / (n+1)! | < 0.01

(2)ⁿ⁺¹ / (n+1)! < 0.01

By trial and error:

If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667

If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089

If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006

Answer:

what do you need

Step-by-step explanation: