The scatter plot shows the number of strawberries that have been picked on the farm during the month of February:



Part A: Using computer software, a correlation coefficient of r = 0.01 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)

Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm. (5 points)

Answer:

7 min 48 sec / mile

Step-by-step explanation:

51 min ÷ 7 miles = 7.2857142857142

Rounds to 7

Answer:

Step-by-step explanation:

(-2 - 4)/(-1 + 3)= -6/2 = -3

y - 4 = -3(x + 3)

y - 4 = -3x - 9

y = -3x - 5

Option 1

A son earns 62 percent of what his father earns if the son earns $52,000 so, the father earns approximately $83,871.

The word "percent" is used to represent a quantity as a percentage of 100. The Latin term per centum, which means "out of a hundred," is where the word "percent" originates. When working with huge numbers, percentages are frequently employed to convey ratios, proportions, and rates in a more practical way.

A percentage can be expressed as a decimal or as a fraction with a denominator of 100. 25%, for instance, might be written as 0.25 or as 25/100. Similarly, 75% might be written as 0.75 or as 75/100.

Let's denote the father's earnings as "F". We are given that the son earns 62% of what his father earns, which can be expressed as:

Son's earnings = 62% of Father's earnings

$52,000 = 0.62F

To solve for F, we can divide both sides of the equation by 0.62:

F = $52,000 ÷ 0.62

F = $83,870.97

Therefore, to the nearest dollar, the father earns approximately $83,871.

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Answer:

  41.7 m³

Step-by-step explanation:

You want a volume of 1472 ft³ expressed in cubic meters.

One foot is exactly 0.3048 meters, so we can write the fraction ...

  (0.3048 m)/(1 ft)

and it will have a value of 1. When we multiply by this, it does not change the length, but it changes the units of the length.

The volume is expressed as the third power of the length unit, so we need to use this conversion factor 3 times.

  1472 ft³ = (1472 ft³) × ((0.3048 m)/(1 ft))³ = 1472·0.3048³ m³ ≈ 41.7 m³

The volume of Alice's chicken coop is about 41.7 cubic meters.

The solution is,  if depreciation is involved it will NEVER be greater than the amount the car was. $16464

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

30000(1+ -.012/4) ^4*5

Use the compounded continuously formula

A= intial amount

Pe^rt

A=30000e

the small e means euler

r= rate

t= t

A= 30000e ^(-0.12x5)

=$16464

the answer is 16,464

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15 < 4 + x

15 - 4 < x

11 < x

Therefore, the solution to the inequality is x > 11.

Answer:
Black

Step-by-step explanation:

1/2 is half the bag of marbles so it's 50% likely to pick black.

Part A: The variable in this situation represents the unit cost or the unit rate of each bag of chocolate.

Part B: The equation that represents the cost of each bag of chocolate chips is x = (20 - 5.86)/2.

Part C: The price of each bag of chocolate chips that Eve bought for her cookie recipe is $7.07.

An equation is an algebraic statement of the equality or equivalence of two or more mathematical expressions.

Mathematical expressions combine constants, numbers, variables, and values with algebraic operands but without the equation symbol (=) as an equation.

The number of bags of chocolate chips bought = 2 bags

The total amount given to the cashier for the purchase = $20

The balance in change received = $5.86

The cost of the 2 bags of chocolate chips = $14.14 ($20 - $5.86)

The cost of each bag = $7.07 ($14.14)

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Answer:

2.8

Step-by-step explanation:

To calculate the GPA of the student, we first need to calculate the total number of grade points earned by the student. We can do this by multiplying the number of credits for each course by the corresponding grade point value and then adding up the results:

A in a 3-credit course: 4 x 3 = 12 grade points

B in each of three 4-credit courses: 3 x 4 = 12 grade points each, for a total of 3 x 12 = 36 grade points

C in a 2-credit course: 2 x 2 = 4 grade points

D in a 3-credit course: 1 x 3 = 3 grade points

Total grade points earned = 12 + 36 + 4 + 3 = 55

Next, we need to calculate the total number of credits earned by the student:

A in a 3-credit course = 3 credits

B in each of three 4-credit courses = 3 x 4 = 12 credits

C in a 2-credit course = 2 credits

D in a 3-credit course = 3 credits

Total credits earned = 3 + 12 + 2 + 3 = 20

To find the GPA, we divide the total grade points earned by the total credits earned:

GPA = Total grade points earned / Total credits earned

GPA = 55 / 20

GPA = 2.75

Therefore, the GPA of the student is 2.75.

To calculate the GPA, convert each grade into points, multiply each point value by the number of credits for that course, and add the total. Then divide the total by the total credits. Using this calculation, the student's GPA is 2.75.

The grade point average (GPA) is calculated on the basis of the grades earned in each course and the course's credit value. First, each grade is converted into points. Then, each point value is multiplied by the number of credits for that course. Finally, the total points are added together, and the sum is divided by total credits to yield GPA.

The total credits are 3 (for A) + 12 (for Bs) + 2 (for C) + 3 (for D) = 20. The total points are 12 (for A) + 36 (for Bs) + 4 (for C) + 3 (for D) = 55. Hence, the GPA is 55 total points ÷ 20 total credits = 2.75.

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The total earnings for the first month are given as follows:

R370,256.

The series in this problem is a geometric sequence, as there is a common ratio between consecutive terms.

Each day, the amount paid to you by the company is doubled, hence the common ratio of the geometric sequence is given as follows:

r = 2.

The amount paid on the first day is given as follows:

a(1) = 0.01.

The sum of the first n terms of a geometric sequence is given as follows:

S = [a1(1 - r^n)]/(1 - r).

Hence the sum for the first 30 days is given as follows:

S = [0.01(1 - 2^30)]/(1 - 30)

S = 370,256.

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So, in response to the above question, we can state thatThe equilibrium interest rate is 5.0% as a result (determined by equation adding $50 in interest to a $1000 bond over a year). The right response is thus 5.3%.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

We must locate the point at which the supply and demand for bonds are equal in order to determine the equilibrium interest rate. To do this, we may solve for Q by setting the demand and supply equations to equal values.

1000 - 0.5Q = 450 + 5Q

5.5Q = 550

Q = 100

We can calculate the equilibrium price (interest rate) by putting Q=100 into either the demand or supply equations now that we are aware of the quantities that are requested and supplied at equilibrium:

P = 1000 - 0.5Q = 1000 - 0.5(100) = $950

The equilibrium interest rate is 5.0% as a result (determined by adding $50 in interest to a $1000 bond over a year).

The right response is thus 5.3%.

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The volume of the triangular prism is 137.2 units cube.

The triangular prism has a height of 8 units. The base of the prism is shown in the image. The volume of the prism can be represented as follows:

volume of a triangular prism = BH

where

Therefore, let's find the base area

B = 1 / 2 b h

let's find b

Hence,

tan 65 = b / 4

cross multiply

b = 4 tan 65

b = 8.57802768204

b = 8.58 units

Therefore,

B = 1 / 2  × 4 × 8.58

B = 17.1560553641

Therefore,

volume of a triangular prism = 17.156 × 8

volume of a triangular prism = 137.248442913

Hence,

volume of a triangular prism = 137.2 units cube

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a) The probability that the woman selected will not meet the age requirement for the internships is:  

0.175

b) The probability that at least 30% of the women in the sample will not meet the age requirement for the internships is:

0.0003

The probability that a woman selected at random from the women in STEM majors at the university will not meet the age requirement for the internships can be found by adding the probabilities of the ages that do not meet the age requirement. This includes the probabilities for ages 17, 18, and 19, which are 0.063, 0.005, and 0.107, respectively. Adding these probabilities gives us:

P(not meeting age requirement) = 0.063 + 0.005 + 0.107 = 0.175

This can be found using the binomial probability formula:

P(X ≥ 30) = 1 - P(X < 30) = 1 - ∑(n choose x) * p^x * (1-p)^(n-x)

Where n is the sample size (100), x is the number of women not meeting the age requirement (less than 30), and p is the probability of not meeting the age requirement (0.175). Using this formula, we can find the probability that at least 30% of the women in the sample will not meet the age requirement for the internships:

P(X ≥ 30) = 1 - P(X < 30) = 1 - ∑(100 choose x) * 0.175^x * (1-0.175)^(100-x)

P(X ≥ 30) = 1 - (0.825^100 + (100 choose 1) * 0.175 * 0.825^99 + ... + (100 choose 29) * 0.175^29 * 0.825^71)

P(X ≥ 30) = 0.0003

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The required measure of Street K between Street C and D is 337.5 ft.

What is the equality of proportionality?

The equivalence between two ratios in algebra. A and B are in the same ratio as C and D in the formula a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.

Here, we have

Given: In a certain city, E Street, W Street, C Street, and D Street are parallel streets that intersect K Street and M Street. How long K Street is between C Street and D Street is to be determined.

Let the distance of street K between C and D be x,

Now,

Taking the equality of the proportionality expression of triangles,

600 / 400 = 600 + x / 400 + 250

6 / 4 = 600 + x / 625

3750/4 = 600 + x

937.5 = 600 + x

x = 337.5

Hence, the required measure of Street K between Street C and D is 337.5 ft.

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Answer:

(x - 1)^2 + (y + 3)^2 = 400.

Step-by-step explanation:

Your equation is correct.

The center of the circle is (1, -3), which is the midpoint of the diameter. The diameter is 20, so the radius is 10. The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values, we get:

(x - 1)^2 + (y + 3)^2 = 10^2

Simplifying the right side, we get:

(x - 1)^2 + (y + 3)^2 = 100

Therefore, the equation of the circle is (x - 1)^2 + (y + 3)^2 = 400.

Answer:

a+75+65= 180(sum of angle of triangle)

a+140=180

a=180-140

a=40

Answer:

Step-by-step explanation:

In the context of communication, a medium is a substance or material through which information or messages are conveyed from a sender to a receiver. Examples of media include photographs, newspaper articles, paintings, videos, radio broadcasts, and so on. These media carry information from the person or organization that created them to the people who consume them, whether it be to inform, entertain, or educate.

A cookbook, on the other hand, may not be considered a medium in the same way as the other options, as it is not primarily used to convey information or messages from a sender to a receiver. While a cookbook contains information, such as recipes and instructions for preparing food, this information is not usually communicated from one person to another in the same way as, for example, a photograph or a newspaper article. A cookbook is more like a reference book or guidebook, which people use to obtain information rather than as a means of transmitting information.

All of the options given could be considered examples of media. However, if we interpret "medium" as a substance or material through which something is transmitted or conveyed, then "cookbook" might not be considered a medium. A cookbook is a book that provides instructions on how to prepare food and does not necessarily serve as a substance through which information is transmitted or conveyed. So the answer would be C. Cookbook.

Answer:

C. Cookbook

Step-by-step explanation:

The other answer choices represent examples of communication medium. A communication medium is  a system or channel through which information disseminated to others.

A cookbook is a set of instructions for a specific task and therefore does not fall under the generalized category of medium.

Required probability P(A)= 0.46. The problem here is a Joint Probability Distribution exercise. See the answers and explanation below.

Joint Probability Distribution can be simply described as the likelihood of two events (variables) occurring at the same time. These two events are commonly referred to as event A and event B, and their formal names are: p (A and B).

here, we have,

What is the solution to the questions?

A - The likelihood that each line has exactly one customer: The probability relates to the associated row and column.

X₁ = 1  and X₂ = 1

P (X₁ = 1, X₂ =1) = 0.15

B - The sum of the diagonal elements of the joint pmf indicates the likelihood that the amount of clients in both lines is the same:

P(X₁ = X₂) =) p(0,0) + p (1,1) + p(2, 2) + p(3,3

= 0.08 + 0.15 + 0.10 + 0.07

= 0.4

Hence,

C - Let A represent the situation in which there are at least two more clients than the other line: The following are examples of variable combinations:

X₂ =0 ;   X₁ = 2,3, 4

X₂ =1  ;   X₁ = 3, 4

X₂ =2 ;   X₁ = 0, 4

X₂ =3 ;   X₁ = 0, 1

The probability is thus computed as follows:

P (A) = p(1, 3) + p (2,2) + p(2, 3) + p(3,1) + p(3,2) + p(3,3) + p(4,0) + p(4,1) + p(4,2) + p(4,3)

= 0.04 + 0.10 +0.06 + 0.03 + 0.04+ 0.07 + 0.00 + 0.01 + 0.05 + 0.06

= 0.46

Hence , P(A)= 0.46

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Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

The shareholder's equity if $450 was put on credit is $175. Option D

The purchase of equipment for $625 represents a decrease in the company's shareholder equity, since assets have increased while the equity has not changed.

If $450 was put on credit, this means that the company has only paid $625 - $450 = $175 towards the equipment.

The shareholder's equity is reduced by this amount, so the new shareholder's equity is:

Shareholder's equity = Initial equity - Decrease in equity

Shareholder's equity = 0 - $175

Shareholder's equity = -$175

Since the shareholder's equity is negative, it means that the company owes more than it owns. Therefore, the answer $175.

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Therefore , the solution of the given problem of range comes out to be  the range of the composite function f(g(h(x))) is [0, ∞).

By calculating the variable's maximum observed value and subtracting its minimum observed value, the variable range is obtained (minimum). Potential range or finite difference bounds include different steel pricing and various designs. A procedure or action's breadth or scope insight into the maximum or expected range of a weapon's projectile. The number between the minimum and maximum of a list and set is known as its range. You can locate the area by lining up all the numbers.

Here,

The range of a function is the set of all possible output values. Let's consider each function separately:

f(x) = |x-3|

The absolute value of any number is always non-negative, so the range of f(x) is [0, ∞).

g(x) = -(x-4)²-3

The square of any real number is always non-negative, so the range of the function -(x-4)² is (-∞, 0]. Subtracting 3 from this range gives the range of g(x) as (-∞, -3].

h(x) = -7

The output of h(x) is always -7, so the range of h(x) is {-7} (a singleton set containing only the number -7).

Putting it all together, the range of the composite function f(g(h(x))) is [0, ∞).

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Path z is the longest path that leads to the lake.

An algebraic expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. It is a mathematical phrase that can contain one or more terms separated by mathematical operators.

For example, 3x + 4y - 2z is an algebraic expression that contains three terms: 3x, 4y, and -2z. Each term is made up of a coefficient and a variable, where the coefficient is the numerical value that multiplies the variable.

In algebraic expressions, variables are used to represent unknown values, and the expression can be evaluated by substituting known values for the variables. For instance, if x = 2, y = 3, and z = 1, then the expression 3x + 4y - 2z can be evaluated as 3(2) + 4(3) - 2(1) = 12.

Algebraic expressions can also include exponentiation, roots, and other advanced mathematical operations. They are widely used in mathematics and other fields, such as physics and engineering, to represent relationships between variables and to model real-world situations.

Let's start by assigning variables to each path:

Let x be the length of path x (in meters).

Then path y is 116 meters longer than path x, so its length is x + 116.

Path w is 51 meters shorter than path y, so its length is x + 116 - 51 = x + 65.

Path z is 85 meters longer than path w, so its length is x + 65 + 85 = x + 150.

To find the longest path, we need to compare the lengths of all four paths. We can do this by looking at the expressions we just derived:

Path x has length x.

Path y has length x + 116.

Path w has length x + 65.

Path z has length x + 150.

Since all four paths have a common component of x, the lengths of the paths can be compared by comparing the values of the expressions that add to x. We can see that x + 150 is the largest expression, which means that path z is the longest.

Therefore, path z is the longest path that leads to the lake.

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Since the graph is constant, the function is not changing within any interval. Therefore, there are no intervals where the function is changing.

In mathematics, a graph is a visual representation of a set of objects and the relationships between them. Graphs are widely used in many areas, including mathematics, computer science, engineering, social sciences, and more.

A graph consists of two main components: vertices (also known as nodes) and edges. The vertices represent the objects, and the edges represent the connections or relationships between them. The edges can be directed or undirected, meaning they can be one-way or two-way relationships.

There are many types of graphs, including:

Undirected graphs: Graphs in which edges have no direction.

Directed graphs: Graphs in which edges have a direction, often represented by arrows.

Weighted graphs: Graphs in which edges have weights or values, representing some kind of numerical data.

Bipartite graphs: Graphs in which the vertices can be divided into two distinct sets, with edges only connecting vertices in different sets.

Complete graphs: Graphs in which every vertex is connected to every other vertex by an edge.

Graphs are used to model and analyze various kinds of data, such as social networks, transportation systems, financial transactions, and more. They are also used in algorithms and data structures, such as shortest path algorithms and tree data structures. In addition, graphs are often visualized using software tools to help people better understand complex relationships and patterns in data.

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Primary data is usually designed to collect original data which is required for a specific kind of research. This data is tailored according to what is the focus of the research and what outcome are the people looking for.

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Complete Question:

A marketing manager tells her assistant that she wants to use only primary data in her market research. Which of the following data would be most applicable for this research?

Interviews

Observation

Focus groups

Experiment

Surveys and Questionnaire

qualitative research

market research

The reasonable domain of the growth function is [0, 8], the y-intercept is 3 cm and the average rate of change of the function is 0.40 cm per month.

The growth function, also called the shatter coefficient or the shattering number, measures the richness of a set family. It is especially used in the context of statistical learning theory, where it measures the complexity of a hypothesis class.

A marine biologist is studying the growth of a particular species of fish, given by the exponential equation,

f(m) = [tex]3(1.09)^{m}[/tex]

We need to find, reasonable domain to plot the growth function, the y-intercept of the graph of the function f(m) to represent and average rate of change of the function f(m) from m = 1 to m = 9,

f(m) = [tex]3(1.09)^{m}[/tex]

m = 0

f(0) = 3(1.09)⁰  = 3 cm

The length of the fish was approximately 5.98 cm.

5.98 = [tex]3(1.09)^{m}[/tex]

1.99 = [tex](1.09)^m[/tex]

m = 8

Domain = [0, 8]

Reasonable domain to plot the growth function = [0, 8]

The y-intercept of the graph of the function f(m) represent initial length of fish = 3 cm

The average rate of change of the function f(m) from m = 2 to m = 8

m = 2, f(2) = 3(1.09)² = 3.56  cm

m = 8, f(8) = 3(1.09)⁸ = 5.97 cm

Change in 8-2 = 6 months = 5.97-3.56 = 2.41 cm

The rate of change of the function f(m) from m = 2 to 8

= (2.41/6)

= 0.40 cm per month

Hence, the reasonable domain of the growth function is [0, 8], the y-intercept is 3 cm and the average rate of change of the function is 0.40 cm per month.

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The value of Tan B rounded to the nearest hundredth is 0.01.

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.


Tan B is a trigonometric ratio that is determined by the ratio of the side opposite an angle to the side adjacent to the angle. To find the value of Tan B, you need to know the angle measure (B) and the lengths of the two sides. For example, if the angle B is 45 degrees and the adjacent side is 8 cm and the opposite side is 8 cm, then Tan B = 8/8 = 1.

To round the value of Tan B to the nearest hundredth, we will use the rounding rule of "5 up". This means that any value that is greater than or equal to five will be rounded up, and any value that is less than five will be rounded down. In this case, Tan B is equal to 1 and is less than five, so it should be rounded down to 0.01. Therefore, the value of Tan B rounded to the nearest hundredth is 0.01.

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x^2 + 4x + 4 is a perfect square trinomial that can be factored as (x + 2)^2.

Explanation:
To complete the expression x^2 + 4x + __ as a perfect square trinomial, we can take half of the coefficient of x (which is 4), square it, and then add it to the expression.

Half of 4 is 2, and 2 squared is 4, so we can add 4 to the expression to get:

x^2 + 4x + 4

This expression is a perfect square trinomial and can be factored as:

(x + 2)^2

The requried, to avoid having her hours cut back, Bridgett must therefore manufacture more than 99 items.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard daviation

Here,
We know that the distribution of items manufactured at Bridgett's job is normal with a mean (µ) of 100 and a standard deviation (σ) of 4. We also know that Bridgett needs to avoid performing in the lowest 40% of the distribution.

To find the minimum number of items that Bridgett needs to manufacture, we need to find the cutoff point below which the lowest 40% of the distribution falls. This cutoff point is the z-score that corresponds to the 40th percentile of the distribution.

Using a standard normal distribution table or calculator, we can find that the z-score that corresponds to the 40th percentile is approximately -0.25. This means that the lowest 40% of workers at Bridgett's job manufacture less than 100 - 0.25(4) = 99 items.

To avoid having her hours cut back, Bridgett must therefore manufacture more than 99 items.

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Answer: Length = 7 and Width = 2

Step-by-step explanation:

Perimeter = 2(length + width)  
18 = 2(L+W)
[tex]\frac{18}{2}[/tex] = (L+W)  
9 = L+W  
Make width the subject.
w = 9-L ------Equation 1

  Area = Length × Width
⇒14 = L×(9-L)   | Substitute Eq.1 in place of Width
⇒14 = 9L - L²
⇒L² - 9L + 14 = 0
⇒L² -7L - 2L + 14 = 0
⇒L×(L-7) -2×(L-7) = 0
⇒(L-7)(L-2) = 0
∴ L=7(Answer) or L=2(Not Applicable since length can't be larger than width)

Substitute the value into eq.1
when L=7
W=9-7      
  =2      

Lenth=7
Width=2

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Answer:

Step-by-step explanation:

Let the length of the plank be "l" and the width be "w".

The perimeter of the plank is the sum of the lengths of all four sides, which is:

2(l + w) = 18

Simplifying the equation, we get:

l + w = 9

The area of the plank is given by:

lw = 14

We can solve for one of the variables in terms of the other by rearranging the equation:

l = 14/w

Substituting this expression for "l" into the equation for the perimeter, we get:

(14/w) + w = 9

Multiplying both sides by "w", we get:

14 + w^2 = 9w

Rearranging the terms, we get:

w^2 - 9w + 14 = 0

This is a quadratic equation that can be factored as:

(w - 7)(w - 2) = 0

Therefore, the possible values of "w" are 7 and 2.

If we take "w = 7", then using the equation l = 14/w, we get:

l = 14/7 = 2

Therefore, the length and width of the plank are 2 feet and 7 feet, respectively.

If we take "w = 2", then using the equation l = 14/w, we get:

l = 14/2 = 7

Therefore, the length and width of the plank are 7 feet and 2 feet, respectively.

In summary, the plank could have a length of 2 feet and a width of 7 feet, or a length of 7 feet and a width of 2 feet, given its perimeter of 18 feet and area of 14 square feet.