(2x-3)^2 need help forgot how to do this lol

A set of values for the decision variables that satisfy all the constraints and yields the best objective function value is a feasible solution that optimizes the objective function.

In optimization problems, decision variables are the quantities that we can control or adjust to achieve a desired outcome. Constraints are the limitations or conditions that these decision variables must satisfy. The objective function represents the goal or objective we want to optimize.

A feasible solution refers to a set of values for the decision variables that satisfy all the given constraints. This means that the solution meets all the specified requirements and does not violate any constraints. However, there can be multiple feasible solutions that meet the constraints.

Among these feasible solutions, the one that yields the best objective function value is the optimal solution. The objective function value is a measure of how well the solution aligns with the desired objective. The goal is typically to maximize or minimize this objective function value, depending on the problem.

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If rectangle is similarity to rectangle, to find the value of x we use proportion (c) 5/12 = 2/x.

When applying a scale factor, similar shapes are enlarged versions of one another.

All of the matching angles and lengths in related shapes are equal and in the same ratio.

If two figures share the same shape, congruent corresponding angles (which means the angles in the same places of each shape are the same), and identical scale factors, they are said to be "similar figures."

Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.

Thus, EF/JK = FG/KL

Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:

5/12= 2/x

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Answer:

1800 miles

Step-by-step explanation:

If they traveled 300 miles per day and traveled for 6 days you would multiply 300 by 6 and get 1800. I hope that helps

Answer:

3 days.

Step-by-step explanation:

The first sentence states that Michael ate a whole bag in 3 days.  That's how long it will rtake him to eat a bag of candy, assuming it is the same size and tastiness as the first.

Answer:

The average daily pay of 14 employees is $ \(70\frac{6}{7}\)

Step-by-step explanation:

If there is a set of data with n terms, then the average is the sum of their values divided by n

Average = sum of values of the n terms ÷ n

Let us solve the question using this rule

∵ Two employees earn daily $160 each

∴ Their total earn = 2 × 160 = 320

∴ Their total earn a day = $320

∵ Twelve employees earn daily $56 each

∴ Their total earn = 12 × 56 = 672

∴ Their total earn a day = $672

To find the average of the 14 employees, find their total earns and divide it by their number

∵ The total earn of 14 employees = 320 + 672 = 992

∵ They are 14 employees

∴ Their daily average = 992 ÷ 14 = \(70\frac{6}{7}\)

∴ The average daily pay of 14 employees is $\(70\frac{6}{7}\)

a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.

b. The expected value for the 33-year-old male purchasing the policy is -$579.06.

c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.

a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.

b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.

Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)

Expected value = (0.9988 * $0) + (0.0012 * -$90,000)

Expected value = -$108 + -$471.06

Expected value = -$579.06 (rounded to the nearest cent)

c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.

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Answer:

\(4x^2 - 5x + 1 = 0\)

Step-by-step explanation:

\(x^2+(1-x)(1-3x)=x\\x^2+(1-x)(1-3x) - x = 0\\x^2+ 3x^2 - 4x + 1 - x = 0\\\\\)

4x^2 - 5x + 1 = 0

Answer:

B

Step-by-step explanation:

-1+4=3

The mean number of web-enabled devices for the 5 students is 3.8.

Before, solving this question the

The mean, or average, of the data is the sum of all the values divided by the number of values.

In this case, the mean for the data can be calculated as the sum of the number of devices for all 5 students divided by the number of students.

The calculation is as:

mean = (4 + 3 + 5 + 5 + 2) / 5

= 19 / 5

= 3.8

So, the mean number of web-enabled devices for the 5 students is 3.8. This gives an estimate of the average number of devices that students have.

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a) Part A: The perceived image of Jet Airways

Jet Airways is one of the well-known airlines in India. It is headquartered in Mumbai and operates both domestic and international flights. The perceived image of Jet Airways in the minds of its customers is important to the success of the airline. Perceived image refers to what the customers think about the airline, and this is important for customer loyalty and retention.

Constructing a seven-item and semantic differential scale to measure the perceived image of Jet Airways would be as follows:

1. Reliability: how reliable is Jet Airways on a scale of 1 to 7 (with 1 being extremely unreliable and 7 being extremely reliable)

2. Responsiveness: how responsive is Jet Airways to the needs of its customers on a scale of 1 to 7 (with 1 being extremely unresponsive and 7 being extremely responsive)

3. Empathy: how empathetic is Jet Airways to the concerns of its customers on a scale of 1 to 7 (with 1 being extremely unempathetic and 7 being extremely empathetic)

4. Assurance: how assured do you feel when you travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely unassured and 7 being extremely assured)

5. Tangibles: how do you rate the physical appearance of Jet Airways on a scale of 1 to 7 (with 1 being extremely poor and 7 being extremely good)

6. Price: how do you rate the price of Jet Airways on a scale of 1 to 7 (with 1 being extremely expensive and 7 being extremely affordable)

7. Convenience: how convenient is it to travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely inconvenient and 7 being extremely convenient)

The above semantic differential scale helps in measuring the perceived image of Jet Airways. The seven-item and semantic differential scale ensure that the seven under each format correspond to the same seven dimensions.

By answering each question, the customers can rate Jet Airways on various factors, and the airline can use this feedback to improve its service and overall image.

b) Part B:

Examination of a technical and business report

The structure of a technical and business report includes a title page, abstract, table of contents, introduction, main body, conclusion, and references. An examination of a technical and business report from the internet reveals some deviations from the stated structure. One of the significant deviations is the absence of the abstract section. The abstract provides a brief summary of the report, including the purpose, methodology, and findings. The report from the internet did not have an abstract section, and this deviation could be due to the report being a short summary of a more extensive study.

The report from the internet did not have a separate conclusion section. The conclusion is important as it summarizes the findings of the study and provides recommendations for further research. The report from the internet integrated the findings and recommendations into the main body of the report, and this deviation could be due to the length of the report.

Another deviation is the lack of a reference section. The reference section is essential as it provides the sources used in the study. The report from the internet did not have a reference section, and this deviation could be due to the type of report and the fact that it was not a formal research report.

In conclusion, technical and business reports should follow a specific structure to ensure that they are clear, concise, and easily understood. Deviations from the stated structure can affect the quality and accuracy of the report. The deviations in the report from the internet could be due to the length, type, and purpose of the report.

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Answer:

1.52

Step-by-step explanation:

....

The likelihood equation for X1,…,Xn i.i.d. from the Logistic(θ,1) distribution has a unique root.

For i.i.d. samples from the Logistic distribution, the likelihood equation has a unique root, implying that the maximum likelihood estimator (MLE) is unique. This result holds regardless of the sample size n.

To find the MLE for θ, we differentiate the log-likelihood function and solve for θ. The resulting equation has a unique root, indicating that the MLE is unique as well. This is a desirable property of the MLE, as it guarantees that the estimator is consistent and efficient.

Furthermore, the asymptotic distribution of the MLE θ^ is normal with mean θ and variance equal to the inverse of the Fisher information. This result holds for any sample size n, making the MLE a reliable estimator of θ.

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Answer:

-2v+4= -3 -2v -14 - 8x =-2(-3x + 7)

+2 +2 4=-3 -14 -8x = 6x +7

+8 +8

-14 =-2x +7

-7 -7

-2x=-21

-2× -2×

x=10.5

Answer:

x= 10

Step-by-step explanation:

The selling price of each mango is sh 18

What is selling price?

Selling price can b described as the amount at which a particular product is sold at the market

Write out the parameters

160 mangoes are sold at Sh 10

The calculation can be done as follows

cost price= 160 × 10

= 1600

Sh 200 was paid for transportation

The total cost price is 1600 + 200

= 1800

Formula

selling price= cost price (1+r/100)

= 1800(1 + 60/100)

= 1800( 1+ 0.6)

= 1800(1.6)

= 2880

Therefore the selling price of each mango can be calculated as follows

= 2880/160

= 18

Hence the selling price of each Mango is Sh 18

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Answer:

The answer is G

Step-by-step explanation:

Answer:I’m going to say it’s A I apologize if it’s wrong

Step-by-step explanation:

Magnets are magnetic fields that compares together when attracted close to one another so that’s Why I’m choosing A because it’s close to what I think

Consider the given equation,

Transpose the terms,

Consider that the cosine function is negative in the 2nd and 3rd quadrant.

So one value of 'x' will lie in each quadrant.

Consider that 'x' lies in the 2nd quadrant,

Consider that 'x' lies in the 3rd quadrant,

Thus, the two solutions of the equation are obtained.

The sum of the given series is 1/5.

The given series is [infinity]∑ n = 1 an whose partial sums are given as sn = n^2−1/ 5n^2 +1. To calculate the sum of the series, we have to use the formula for finding the sum of the infinite series.

Formula:

The formula for finding the sum of an infinite series is given by:
S = lim n→∞ Sn

Where Sn is the sum of the first n terms of the series.

Explanation:

The given series is [infinity]∑ n = 1 an whose partial sums are given as sn = n^2−1/ 5n^2 +1.

The partial sum of the series is given as
Sn = n^2−1/ 5n^2 +1
= (n^2/5n^2) - (1/5n^2) + 1/ (5n^2 + 1)

As n→∞, the last term 1/(5n^2 + 1) approaches zero, so the sum of the series can be given as
S = lim n→∞ Sn
= lim n→∞ [ (n^2/5n^2) - (1/5n^2) + 1/ (5n^2 + 1)]
= lim n→∞ [ (1/5) - (1/5n^2) + 0]
= 1/5

Therefore, the sum of the given series is 1/5.

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Answer:

black

black

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

absolute value means the distance between a number and 0 so therefore the absolute value s 2  2/3

Answer:

\(\sf \dfrac{-1}{2}\)

Step-by-step explanation:

   Use KCF method.

\(\sf \dfrac{-10}{25} \div \dfrac{8}{10}=\dfrac{-10}{25}*\dfrac{10}{8}\)

                \(\sf =\dfrac{-1}{2}\)

hi

A = -10/25  / 8/10

As to divise by a number, you can  multiply by it's inverse, as the inverse of 8/10 is   10/8

so  

A = -10/25 *  10/8  

A  =  -10* 10   / 25*8

A  =  -100 / 200

 A  =  - 10 *10 / 2 *10 *10

  A  =   -1/2

To determine the height of the tree, we can use trigonometry. The height of the tree is approximately 16.8 meters.

We can form a right triangle with the ranger's line of sight, the distance from the base of the tree, and the height of the tree. The angle of observation of 70 degrees forms the angle opposite the height of the tree.

Using the tangent function, we have:

\(\( \tan(70^\circ) = \frac{\text{height of the tree}}{\text{distance from the base of the tree}} \)\)

Rearranging the equation to solve for the height of the tree:

\(\( \text{height of the tree} = \tan(70^\circ) \times \text{distance from the base of the tree} \)\)

Substituting the given values, we have:    

\(\( \text{height of the tree} = \tan(70^\circ) \times 8.8 \)\)

Using a calculator, we find that  \(\( \tan(70^\circ) \)\) is approximately 2.747.

Therefore, the height of the tree is approximately \(\( 2.747 \times 8.8 \),\) which is approximately 16.8 meters.

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Answer:

a ) hl

Step-by-step explanation:

thats it its rhs actually but hl is still correct

There are two possible values for t: one positive and one negative. However, since time cannot be negative, we only consider the positive value: t ≈ 2.02 seconds; So, it will take approximately 2.02 seconds for the stone to hit the water.

To find out how long it will take for the stone to hit the water, we need to determine when h(t) equals 0 (since the water's surface is considered to be at height 0). We can use the given function: h(t) = -4.9t^2 + t + 10.

Set h(t) to 0 and solve for t:

0 = -4.9t^2 + t + 10

Now, we need to solve this quadratic equation for t. We can do this by applying the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / 2a

In our case, a = -4.9, b = 1, and c = 10. Plugging these values into the formula:

t = (-(1) ± √((1)^2 - 4(-4.9)(10))) / 2(-4.9)

t = (-1 ± √(1 + 196)) / -9.8

t = (-1 ± √197) / -9.8

There are two possible values for t: one positive and one negative. However, since time cannot be negative, we only consider the positive value:

t ≈ 2.02 seconds

So, it will take approximately 2.02 seconds for the stone to hit the water.

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a) Possible sources of bias include human error in reading the tape measure, tape measure stretching or shrinking over time, and the angle of the tape measure affecting the measurement. b) A cloth tape is more subject to bias. c) The bias in a cloth tape may change over time due to stretching or shrinking.

a) Possible sources of bias when using a tape measure could include: inaccurate or worn markings on the tape, parallax error due to viewing the tape at an angle, inconsistent tension on the tape, or user error in lining up the tape measure with the object being measured.

b) A cloth tape is generally more subject to bias than a steel tape because it is more likely to stretch or shrink with use and temperature changes, leading to inaccuracies in measurement.

c) Yes, the bias in a cloth tape may change over time due to stretching, shrinking, or wear and tear. It is important to regularly check and calibrate tape measures to ensure accurate measurements.

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In this experiment, the dependent variable would be the amount of fruit production by tomato plants.

The dependent variable is the variable that is measured or observed in an experiment. It is the outcome or response that is influenced by the independent variable, which is the variable that is manipulated or controlled by the researcher. In this case, the independent variable would be the brand of fertilizer.

By testing different brands of fertilizer and measuring the resulting fruit production, the researcher can determine the impact of each brand on the tomato plants' yield. The dependent variable, which is the amount of fruit production, will vary based on the different levels or variations of the independent variable (i.e., different brands of fertilizer).

By analyzing the data collected on fruit production for each brand of fertilizer, the researcher can identify which brand yields the greatest amount of fruit. This information can be used to make informed decisions on the most effective fertilizer brand for maximizing tomato plant productivity.

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Answer:  e^x is not a solution to the differential equation.

 y = 12e^(2t) is not a solution to the differential equation.

y = cos(2x) is a solution to the differential equation.

y = cos(x^2) is not a solution to the differential equation.

y = cos(2x) + xsin(2x) is a solution to the differential equation since the equation is satisfied.

Step-by-step explanation:

Let's solve each problem step by step:

(1) Given: v'' - (x^2) = 1 + 2e^(2x), y = e^x.

First, find the derivatives:

y' = e^x

y'' = e^x

Substitute these values into the differential equation:

(e^x)'' - (x^2) = 1 + 2e^(2x)

e^x - x^2 = 1 + 2e^(2x)

This equation is not satisfied by y = e^x since substituting it into the equation does not yield a true statement. Therefore, y = e^x is not a solution to the differential equation.

(2) Given: y' - 4y' + 4y = 2e^(2t), y = 12e^(2t).

First, find the derivatives:

y' = 24e^(2t)

y'' = 48e^(2t)

Substitute these values into the differential equation:

24e^(2t) - 4(24e^(2t)) + 4(12e^(2t)) = 2e^(2t)

Simplifying:

24e^(2t) - 96e^(2t) + 48e^(2t) = 2e^(2t)

-24e^(2t) = 2e^(2t)

This equation is not satisfied by y = 12e^(2t) since substituting it into the equation does not yield a true statement. Therefore, y = 12e^(2t) is not a solution to the differential equation.

(3) Given: -y'' * y + x^2 = 4, y = cos(2x).

First, find the derivatives:

y' = -2sin(2x)

y'' = -4cos(2x)

Substitute these values into the differential equation:

-(-4cos(2x)) * cos(2x) + x^2 = 4

4cos^2(2x) + x^2 = 4

This equation is satisfied by y = cos(2x) since substituting it into the equation yields a true statement. Therefore, y = cos(2x) is a solution to the differential equation.

(4) Given: xy'' - v + 43y = z, y = cos(x^2).

First, find the derivatives:

y' = -2xcos(x^2)

y'' = -2cos(x^2) + 4x^2sin(x^2)

Substitute these values into the differential equation:

x(-2cos(x^2) + 4x^2sin(x^2)) - v + 43cos(x^2) = z

-2xcos(x^2) + 4x^3sin(x^2) - v + 43cos(x^2) = z

This equation is not satisfied by y = cos(x^2) since substituting it into the equation does not yield a true statement. Therefore, y = cos(x^2) is not a solution to the differential equation.

(5) y'' + 4y = 4cos(2x); y = cos(2x) + xsin(2x)

To find the derivatives of y = cos(2x) + xsin(2x):

y' = -2sin(2x) + sin(2x) + 2xcos(2x) = (3x - 2)sin(2x) + 2xcos(2x)

y'' = (3x - 2)cos(2x) + 6sin(2x) + 2cos(2x) - 4xsin(2x) = (3x - 2)cos(2x) + (8 - 4x)sin(2x)

Now, let's substitute the derivatives into the differential equation:

y'' + 4y = 4cos(2x)

(3x - 2)cos(2x) + (8 - 4x)sin(2x) + 4(cos(2x) + xsin(2x)) = 4cos(2x)

(3x - 2)cos(2x) + (8 - 4x)sin(2x) + 4cos(2x) + 4xsin(2x) = 4cos(2x)

(3x - 2)cos(2x) + (8 - 4x)sin(2x) + 4xsin(2x) = 0

The given function y = cos(2x) + xsin(2x) is a solution to the differential equation since the equation is satisfied.

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