A three-sided fence is to be built next to a straight section of river, which forms the fourth side of a
rectangular region. The enclosed area is to equal 128 m². Find the minimum perimeter and the
dimensions of the corresponding enclosure.

The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001

For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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Answer: 9.1 lb/in.^2

Step-by-step explanation:

To begin, plug in your X value to get P=14.7e^(-0.21(2.3)).

With this you can solve for P=9.1 lb/in.^2

Yes, it's true that the interpretations that participants make of events can be best studied through qualitative research techniques like participant observation or in-depth interviews.

Going into the field without telling every subject of the field research who you are is always unethical. The following are a number of the methodologies normally utilized in qualitative research: Ethnography commonly entails researchers immediately gazing members of their herbal environments over time. A key characteristic of ethnography is the truth that herbal settings, unadapted for the researchers' interests, are used.

A famous and useful categorization separate qualitative strategies into 5 groups: ethnography, narrative, phenomenological, grounded theory, and case study. John Creswell outlines those 5 strategies in Qualitative Inquiry and Research Design. As maximum qualitative information is amassed via interactions with members via the usage of interviews, surveys, questionnaires, or awareness groups, a researcher have to discover members who're inclined to talk approximately their experiences.

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Correct Question:

Qualitative research methods, such as participant observation or intensive interviews, are particularly strong in studying the meanings that participants attach to events. state true or false.

A graph which shows the system of equations and its solution is graph B.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

-x - 2y = -4

5x - y = -13

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each, which is given by the ordered pair (-2, 3);

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The mean tensile strength of the resin cement is between 228.35 and 256.04

Given, a researcher's bounded crowns to 72 extracted teeth.

n = 72, the mean tensile strength of the resin cement,  = 242.2 newtons

The standard deviation, s = 70.6 newton

90% confidence interval for  if the sample size n is 72.

mean = t (8/√n)

Where, α = 0.1 and α/2 = 0.05, (n-1) degrees of freedom = 71

242.2  ± t (8/√n)

242.2 ± 1.664 (8.320)

(228.355 , 256.04)

Lower bound = 228.35N , Upper bound = 256.04N.

Therefore, the Researcher’s are 90% confident level that the mean tensile strength of the resin cement is between 228.35 and 256.04

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(a) The component form of the velocity of the airplane is (-453.01 i + 79.88 j) mph.

(b) The actual ground speed and direction of the airplane is 392.76 mph and 30 degrees respectively.

The component form of the velocity of the airplane is calculated as follows;

Vy = V sinθ

Vx = V cosθ

where;

Vy = 460 mph x sin (170 - 90) = 79.88 mph

Vx = 460 mph x cos (170) = -453.01 mph

The bearing of the two speeds forms a triangle and the angle of the triangle is calculated as follows;

θ = θ₁ + θ₂

θ = (180⁰ - 170⁰) + (200⁰ - 180⁰)

θ = 30⁰

The resultant speed of the airplane is calculated as follows;

Vr² = V₁² + V₂² - 2(V₁)(V₂) cos(θ)

Vr² = (460²) + (80²) -  2(460 x 80) x cos(30)

Vr² = 154,260.53

Vr = √(154,260.53)

Vr = 392.76 mph

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Answer:

4x+y=-2

Step-by-step explanation:

y=-4x-2

Write this in standard form:

Ax+By=C  ==> C is a constant

First, put x and y on one side of the equation:

y+4x=-4x+4x-2 ==> isolate -2 by adding 4x on both sides

y+4x=-2

4x+y=-2  ==> switch x and y to make the equation in standard form

Answer:

The Tree diagram here is given as:  {HRR,HRB,HRW,HRG,HBB,HBW,HBG,HWG,HGG,TRR,TRB,TRW,TRG,TBB,TBW,TBG,TWG ,TGG}

Sample space for the compound experiment is : {HRR,HRB,HRW,HRG,HBB,HBW,HBG,HWG,HGG,TRR,TRB,TRW,TRG,TBB,TBW,TBG,TWG ,TGG}

Probability of 2nd ball drawn is green = 8/18=4/9

Probability of a head is flipped on the penny = 9/18=1/2

Step-by-step explanation:

Part A tree diagram: Document attached below

Part B:

Sample space for the compound experiment is : {HRR,HRB,HRW,HRG,HBB,HBW,HBG,HWG,HGG,TRR,TRB,TRW,TRG,TBB,TBW,TBG,TWG ,TGG}

N(s)=18

Part c:

A=Choosing Head

P(A)=n(a)/n(s)

P(A)= 1/18

B= Choosing tail

P(B)=n(B)/n(s)

P(B)= 1/18

c=Choosing red balls

P(C)=n(C)/n(s)

P(C)= 3/18=1/6

D= Choosing blue balls

P(D)=n(D)/n(s)

P(D)= 4/18=2/9

E=Choosing white balls

P(E)=n(E)/n(s)

P(E)= 1/18

F = Choosing green balls

P(F)=n(F)/n(s)

P(F)= 2/18=1/9

Part D:

Probability of 2nd ball drawn is green = 8/18=4/9

Part E:

Probability of a head is flipped on the penny = 9/18=1/2

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The average rate of change of the temperature from 6 to 10 pm is given as -1.5. Option C is correct

From 6 pm to 10 pm we have a total of 4 hours that is in between this period of time.

From the table the temperature at 6 pm is 34, the temperature at 10 pm is 28 degrees

Such that we would have:

[tex]\frac{28-34}{4}[/tex]

= -6 / 4

= - 1.5

Hence we would have that Negative 1.5 degrees Fahrenheit degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from 6 PM to 10 PM.

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Since the test statistic is not greater than the critical value, the null hypothesis cannot be rejected. Therefore, the claim that the mean score is 71 is not rejected.

1. We are given the population of statistics final exams and asked to test the claim that the mean score is 71 using an alternative hypothesis that the mean score is different from 71. We are also given the sample statistics including the sample size (n = 26), the sample mean (ã = 72), and the sample standard deviation (s = 18). We are asked to use a significance level of α = 0.05.

2. Since we are assuming that the population is normally distributed, we will use a two-tailed z-test to test the claim.

3. The null hypothesis is that the mean score is 71 and the alternative hypothesis is that the mean score is different from 71.

4. The test statistic is calculated as:

Test statistic = (sample mean - population mean) / (standard deviation/√n)

= (72 - 71) / (18/√26)

= 0.283

5. The critical values for a two-tailed z-test with a significance level of α = 0.05 are 1.645 for both the positive and negative critical values.

6. Since the test statistic (0.283) is not greater than the critical value

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The factors of the function graphed in the given graph is option (C) (x-1)(x+5)

The function is the mathematical statement that shows the relationship between the dependent variable and independent variable

From the given graph

The given graph is a parabola and the equation of the graph will be a quadratic function

x intercepts of the lines are

x = -5 and x = 1

Then to find the factors of the function graphed

x = -5

x + 5 = 0

Similarly the second equation will become

x = 1

x-1 = 0

Then the factors function will be

(x+5)(x-1)

Therefore, the factors are option (C) (x-1)(x+5)

I have solved the question in general, as the given question is incomplete

The complete question is

Which of the following are the most likely factors of the function graphed above?

A. (x+1)(x-5)

B. (x)(x-5)

C. (x-1)(x+5)

D. (x)(x+5)

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The Area of the given sector is 14.1 yd²

Define Sector of a Circle

A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.

Given,

radius = 6 yd

Angle θ = 45°

The formula for,  Sector Area = (θ / 360°) * πr²

Now, plug in the values

Sector Area = (45 / 360) * 3.14 * 6²

                    = 14.1 yd²

Hence, the Area of the given sector is 14.1 yd²

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Answer: 4.5

Step-by-step explanation:

sector area = 4.5 on 14.143 yd ^2

The Total Probability of selecting two coins worth 35 cents at least is 17/36

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

There are two ways of having a sum at least 35 cents

(i) One 10 cent coin and One 25 cent coin

= 6/9 * 3/8 = 1/4

(ii) Both coins of 25 cents

= 2/9

Total Probability = 1/4 + 2/9

Total Probability = 9 + 8 / 36

Total Probability = 17 / 36

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Answer:

pi(r)^2

Step-by-step explanation:

Answer:

It's D

Step-by-step explanation:

I know because I already did this one

Answer:

Step-by-step explanation:

A gate-array logic circuit for the equation x² + 3xy - 14 = output could be designed as follows:

First, we need to calculate x² and 3xy. This can be done using AND, OR, XOR, and NOT gates.

Next, we need to add the two values obtained in step 1 using a full-adder circuit.

Finally, we need to subtract 14 from the sum obtained in step 2. This can be done using a subtractor circuit, which is essentially a full-adder circuit with an additional input for the subtrahend (in this case, 14).

Here is a schematic of the gate-array logic circuit:

   _______________

  |               |

X--| AND/OR/XOR/NOT |---x²

Y--| AND/OR/XOR/NOT |---3xy

  |_______________|

             |

          ______

         |      |

      x²--| Full |---(x² + 3xy)

      3xy--| Adder|

         |______|

             |

          ______

         |      |

 (x² + 3xy)--| Sub |---output

         14--| tract|

         |______|

Note that this is just one possible way to design the circuit, and there may be other ways to achieve the same result.

In general, high scores on the big five factor of Neuroticism are associated with less optimal life outcomes.

Neuroticism is one of the Big Five factors in the study of personality in psychology. Neuroticism is a personality trait characterized by sadness, moodiness, and emotional instability.

High neurotic people frequently experience mood swings, anxiety, impatience, and melancholy. People who score lower on this personality trait tend to be more emotionally stable and resilient. A person may strive to be a perfectionist during their everyday activities, and experience stress as a result of events that are beyond their control.

An individual with neuroticism may choose to concentrate on and dwell on the bad rather than the positive parts of a scenario. When individuals believe they have an advantage over others, they get envious of them and experience jealousy.

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The following statement is true is a) All the rhombuses are squares .

Given :

In contrast to a square, the lengths of all four sides of a rhombus are equal, the diagonals of a rhombus bisect each other, and all four angles of a rhombus are not equal to 90 degrees.

Parallelograms are not all squares. Parallelograms have equal length opposite sides, hence squares with all sides equal are parallelograms. Rhombuses are the only kites that fly.

Because a parallelogram contains two pairs of parallel sides, a trapezium is not a parallelogram. A trapezium, on the other hand, has only one pair of parallel sides.

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No, the events A and B are not independent because the two events are dependent as drawing of the draw by first person affects probability of drawing the straw by the second person.

In the given question, eight friends are drawing straws. The one who picks the short straw must cook dinner for the others.

We have to determine whether the events A and B are independent.

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.

The two events are dependent as drawing of the draw by first person affects probability of drawing the straw by the second person.

Hence, the events A and B are not independent.

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Answer:

12d+12m+3a+6c

Step-by-step explanation:

distribute 3 by multiplying

The total surface area is A≈747.7ft²

The area of the two bases and the area of the curved surface are added to determine the cylinder's total surface area. Consequently, the following is the formula for the cylinder's total surface area:

The area of the two bases plus the area of the curved surface equals the cylinder's total surface area. Due to the cylinder's round bases, their combined area will be equal to r2 + r2. We already know that a cylinder's curved surface area is 2rh.

(r2 + r2 + 2rh) is the cylinder's total surface area.

⇒ 2πr² + 2πrh

A=2πrh+2πr²

A=2·π·7·10+2·π·72≈747.69905ft²

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The appropriate statistical decision that researcher should use is that (d) Reject the null hypothesis with either a = 0.05 or a = 0.01

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable.

Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not.

According to the null hypothesis, there is no relationship between the independent variable and the measured event (the dependent variable). To test the null hypothesis, we don't have to think it's accurate. In contrast, you can suppose that a group of variables (dependent and independent) are connected.

According to the question ,

A researcher is testing a null hypothesis stating that for the general population there is no preference between the two leading brands of cola In a sample of n = 100 people, 35 preferred brand A and 65 preferred brand B.

The appropriate statistical decision is (d) Reject the null hypothesis with either a = 0.05 or a = 0.01

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The following are parallelograms' essential characteristics: The opposing sides are parallel. The opposing parties are in agreement (they have the same length).

The four most crucial characteristics of a parallelogram are: A parallelogram has two opposed sides that are parallel to one another and have equal measurements. A parallelogram has equal opposite angles. The interior angles of a parallelogram sum to 360°. A parallelogram's subsequent angles should be supplementary (180°).

A quadrilateral having opposite sides that are equal and parallel is called a parallelogram. A parallelogram's opposing angle is also equal. A parallelogram is essentially a twisted rectangle.

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Answer:

58 degrees

Step-by-step explanation:

a - 15 + a + 43 + 36 = 180

2a - 15 + 79 = 180

2a + 64 = 180

2a = 180 - 64

2a = 116

2/2 a = 116/2

a = 58 degrees

Answer:

f(8)= - 3 × 8 + 3

f(8) = - 21......

A rhombus is a quadrilateral with 4 equal sides. A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.

A rhombus is a closed two-dimensional plane figure. It is considered a special parallelogram, and because of its unique properties, it gets an individual identity as a quadrilateral. A rhombus is also called an equilateral quadrilateral since all of its sides are equal in length. The term ‘rhombus’ has been derived from the ancient Greek word ‘rhombos', which actually means something that spins

given that

a parallelogram with all sides of equal length without any right angles

A rhombus is a quadrilateral with 4 equal sides. A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.

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The amount earned is $79,500, percentage of fans that will be able to park the colour is 20% and the types of meals offered are All-you-can-eat, Two-for-one, Value meals.

First part -

The amount earned in parking 10,600 vehicles = number of vehicles × charge of parking on one vehicle

Keep the values in formula to find the amount earned

The amount earned in parking 10,600 vehicles = 10,600 × 7.5

Performing multiplication

The amount earned in parking 10,600 vehicles = $79,500

Second part -

Number of cars = total number of fans ÷ number of fans in one car

Keeping the values

Number of cars = 70000 ÷ 2

Performing division

Number of cars = 35000

Percentage = number of accomodates vehicles ÷ total number of vehicles × 100

Keep the values

Percentage = 7000 ÷ 35000 × 100

Performing division and multiplication

Percentage = 100/5

Percentage= 20%

Third part -

The type of ticket offered at the ballpark is All-you-can-eat, Two-for-one, Value meals.

Hence, the answers are $79,500, 20% and All-you-can-eat, Two-for-one, Value meals.

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The correct question is -

if it costs $7.50 to park, how much will the stadium make from parking 10,600 vehicles?

A stadium's parking lot can accommodate 7,000 vehicles. What percentage of tonight's 70,000 fans will be able to park in the stadium lot if they arrive two fans per car?

Which is a type of ticket offered at the ballpark?

All-you-can-eat, Two-for-one, Value meals

The amount premium on bond selling is $83.75. Option A is correct.

Given that,
Exxon sells its bonds at 108.375%. The amount of premium or discount the bond is selling for is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Face value of bonds         = $1000

The selling price of bond = 1000 × 108.375%

                                       =$1083.75

Premium on bonds = difference in the selling price - value of a bond

                              = 1083.75-1000

                              = $83.75.

Thus, the amount of the premium on bond selling is $83.75. Option A is correct.

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Answer:

Step-by-step explanation:

By writing it as 3(n-2) - n = 14 you can solve this to get n=10

You essentially let the bigger even consecutive number equal n, and therefore the smaller even number equals n-2. Three times the smaller even equals 3(n-2) and minus the bigger even number gives 3(n-2) - n which we know equals 14.

So 3(n-2) - n = 14

3n - 6 - n = 14

2n - 6 = 14

2n = 20

n = 10

The distance between the line segment from P to RQ is 2.83 units

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x₂ – x₁)² + (y₂ – y₁)²).  This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

In this case, we need to find the coordinate of P and RQ

From P to the line RQ, we will meet the midpoint of the line RQ which has a coordinate of (3, 3)

Let's use the formula of distance of a line segment and solve this

d = √((x₂ - x₁)² + (y₂ + y₁)²)

d = √(3 - 1)² + (3 - 1)²

d = √(2)² + (2)²

d = √8

d = 2√2

d = 2.83 units

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