Solve: 3x²+9x+6 = 0
Thank you.​

Bicycle speed: 6.71 m/s, Bus acceleration: not provided, Time to reach bicycle's speed: unknown, Distance to bus stop when bus passes bicycle: 25 meters.

What is the bicycle's speed in meters per second, the magnitude and direction of the bus's acceleration, the time it takes for the bus to reach the bicycle's speed, and the distance between the bicycle and the bus stop when the bus passes the bicycle?

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The first term on the left-hand side represents the flux of the quantity D(pu δ) across the cell boundaries, and the second term represents the change of this flux within the cell.

To integrate the 1D steady-state convection-diffusion equation over a typical cell, we can start with the given equation:

D/dx(pu δ) = d/dx (rd δ/dx)

Here, D is the diffusion coefficient, p is the velocity, r is the reaction term, u is the concentration, and δ represents the Dirac delta function.

To integrate this equation over a typical cell, we need to define the limits of the cell. Let's assume the cell extends from x_i to x_i+1, where x_i and x_i+1 are the boundaries of the cell.

Integrating the left-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] D/dx(pu δ) dx = D∫[x_i to x_i+1] d(pu δ)/dx dx

Using the integration by parts technique, the integral can be written as:

= [D(pu δ)]_[x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx

Similarly, integrating the right-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] d/dx (rd δ/dx) dx = [rd δ/dx]_[x_i to x_i+1]

Combining the integrals, we get:

[D(pu δ)][x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx = [rd δ/dx][x_i to x_i+1]

This equation can be further simplified and manipulated using appropriate boundary conditions and assumptions based on the specific problem at hand.

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Since they need to find the weight of their suitcases to make sure they meet airline regulations. the units that they should use Kg.

Airport passengers are often needed to put only at least a single baggage any time in the check-in self-service so that the baggage can be checked and identified.

Note that the Maximum Weight per piece is said to be 50 lb/23 kg and the Maximum Dimensions is said to be 45 linear inches or 115 cm (including the length + width + height)

Therefore, Since they need to find the weight of their suitcases to make sure they meet airline regulations. the units that they should use Kg.

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See full question below

Maria and Jose, students at Mississippi Valley State University, are going to study abroad in Spain. They need to find the weight of their suitcases to make sure they meet airline regulations. What units should they use?

Answer:

q=4(p-r)

Step-by-step explanation:

p-r=q/4

4(p-r)=q

answer: \(4p + r = q\)

work:

\(p = \frac{q}{4} -r\)

\(p + r = \frac{q}{4}\)

\(4 *p+r=\frac{q}{4} *4\)

\(4p + r = q\)

Answer:

Answer:Move right twice

Data categorization is a process of organizing and grouping data into meaningful classes or categories.

This process is often used to simplify data and make it easier to understand and analyze. Data categorization involves breaking down a large set of data into smaller, more manageable groups. For example, a company may group customers into categories based on their age, income, or location. Each group can then be analyzed separately to better understand customer behavior. Categorizing data can also help identify trends or patterns that may not be visible when looking at the data as a whole. Categorization can also be used to identify outliers or anomalies in the data. By breaking down the data into smaller groups, it becomes easier to see which elements don’t fit the pattern or are not part of the normal range. Categorizing data can be done using a variety of methods. For example, data can be divided into numerical ranges or grouped into categories such as low, medium, and high. Data can also be grouped using descriptive terms, such as customer type or product type. Once the data is categorized, calculations such as averages, medians, and modes can be used to analyze the data. This can help to identify patterns or trends that can be used to make decisions or draw conclusions.

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Answer:

brainliest please, i need it and it takes one click

Answer: C. 26°

Step-by-step explanation:

Right triangle: a triangle in which one of the interior angles measures 90°.

This type of angle can be solved using trigonometrical functions. As the measure of the sides given are h and k, then we will use:

In our case, it would be:

cosa = adjacent/hypotenuse

Replacing the values:

cosa = h/k

Solving for a:

cosa-1(cosa) = cos-1(8.1/9)

a = cos-1(8.1/9)

a≈ 25.8 ≈26

Answer: C. 26°

Answer:

Original volume = (4/3)π(6^3) = 288π

New volume = (4/3)π(18^3) = 7,776π

7,776π ÷ 28π = 27

When the radius of a sphere is tripled, the volume of the new sphere is 27 times the volume of the old sphere.

Using the scale 1/4 inch = 1 foot, a room that is 10 feet by 20 feet would be represented by a scale drawing that is 2.5 inches by 5 inches.

The dimensions of the room in the scale drawing would be:

Width: 2.5 inches

Length: 5 inches

Please find the sketch below.

A scale drawing is a drawing that represents an object or space in proportion to its actual size.

It is used to show the relationship between different parts of an object or space, and to provide accurate measurements of its dimensions.

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A rough sketch of what the room might look like in scale:

_________________________

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|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                                                     |

|                  BED                             |

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|_________________________

Please note that this is a rough sketch and the furniture placement is just an approximation.

Also, the furniture is not to scale, but just a representation of where it might be placed in the room.

Answer:

according to my equation it is 61.6

Step-by-step explanation:

The dimensions of the garden that minimize the cost are approximately 2.5 feet by 64.8 feet.

To find the dimensions of the garden that minimize the cost, we can use optimization techniques. Let's denote the length of the garden as L and the width as W.

The cost of the brick wall is $60 per foot, and since only one side is enclosed by the brick wall, the cost for that side is 60L. The cost of the metal fence is $40 per foot, and since three sides are enclosed by the metal fence, the cost for those sides is 40(2L + W).

The total cost C is the sum of the costs for the brick wall and the metal fence:

C = 60L + 40(2L + W)

Given that the area of the garden is 162 square feet, we have L * W = 162.

To minimize the cost, we can take the derivative of the cost function with respect to L and set it equal to zero:

dC/dL = 60 + 80 = 0

Solving for L, we find L = 2.5 feet.

Substituting L = 2.5 into the area equation, we get W = 162 / 2.5 = 64.8 feet.

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Answer:

7-(-1)

Step-by-step explanation:

Answer: Ur answer is B

Step-by-step explanation:

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

b

Step-by-step explanation:

just took the test yyyyyyyyyyyyyyyyyyyyyyyyy

The value of the test statistic is -1.72.

It is given that, a publisher reports that 76% of their readers own a particular make of car.

At the null hypothesis we test, if the proportion is of 76%

⇒ H₀ : p = 0.76

At the alternate hypothesis, we test if the proportion is different from 76%

⇒ H₁ : p ≠ 0.76.

We know the test statistic is,

z = x - μ / (σ/\(\sqrt{n}\))

where x is the sample mean,

μ is the value tested at the null hypothesis,

σ is the standard deviation

and n is the size of the sample.

Therefore 76% tested at the null hypothesis

⇒μ = 0.76 and σ = \(\sqrt{0.76 * 0.24}\)

Now a random sample of 200 found that 71% of the readers owned a particular make of car.

⇒ n = 200 and x = 0.71

then the value of test statistic implies that,

z = (0.71 - 0.76) /(\(\sqrt{0.76 * 0.24}\) / \(\sqrt{200}\))

  = - 0.05 /(0.42/14.14)

  = - 0.05 / 0.029

z = - 1.72

So z = -1.72 has a p value 0.4272.

implies that 0.01 * 0.4272 =0.04272

So 0.042 > 0.01

which means that there is not sufficient evidence at the 0.01 level to support the executive's claim.

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The best price is $6.50, and the maximum revenue that the school can get is $2,112.50.

Given that the starting price for a ticket for a high school play is $5, and the auditorium capacity is 400 people, and the organizer estimates that for every 10 cent increase in the ticket price 5 fewer people will attend the play, to determine what is the best price and what is the maximum revenue that the school can get, the following calculation must be made:

Therefore, the best price is $6.50, and the maximum revenue that the school can get is $2,112.50.

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Answer:

126° + (720n)°, for any integer n

Step-by-step explanation:

Conterminal Angles of an angle are the angles who share the same initial side and terminal sides.

Also, we can find the conterminal angle of an angle by adding or subtracting 360°. ( When angle is given in degree ),

For example, if Ф is an angle,

Then, its conterminal angles are,

Ф + 360 n, for an integer n,

Here, Ф = 126°,

Hence, its conterminal angles are,

126° + ( 360 n)°,

Since, n is an integer,

⇒ 2n is an integer,

So, the co-terminal angle of 126° can be written,

126° + ( 360×2n )°= 126° + ( 720n)°, for any integer n.

Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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65 two-point questions, and 5 four-point questions.

Emma answered 2 four-point questions.

Step-by-step explanation:

1. Assigning variables and writing equations

We will set the number of 2 point questions as "x" and number of 4 point questions as "y"

We know that:

\(x+y=70\)(number of 2 point questions+number of 4 point questions=total number of questions)

\(2x+4y=150\) (number of points that a two point question is worth*number of two point questions+number of points that a four point question is worth*number of four point questions=total points on test)

2. Combining equations

\(x+y=70 , 2x+4y =150\)

We will solve one of these equations.

\(x+y=70\)

\(x=70-y\)

Next, we will substitute the other equation with this solution.

\(2* (70-y) +4y =150\\140-2y+4y=150\\2y=10\\y=5\)

Use this solution to find x.

\(x+y=70\\x+5=70\\x=65\)

We found that there are 65 two-point questions, and 5 four-point questions.

3. Finding Emma's test results

In this case, we know how many two-point questions she answered. So, we will only be using one variable in this equation, which is y.

\(46*2+4y=100\\92=4y=100\\4y=8\\y=2\)

So, she answered 2 questions correctly.

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Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

3 liters equals to 3000 milliliters

divide 3000 by 200 and you get 15 bowls of soup

2652 blue macaws are there if 2,730 red macaws are living in Brazil.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that the ratio between blue macaws and red macaws that live in Brazil is 272 : 208

We need to find the number of  blue macaws are there if 2,730 red macaws are living in Brazil.

Let x be the number of  blue macaws for 2,730 red macaws are living in Brazil.

Let us form a proportional equation

272/208=x/2730

Apply cross multiplication

272×2730=208x

742560=208x

Divide both sides by 208

2652=x

Hence, 2652 blue macaws are there if 2,730 red macaws are living in Brazil.

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Answer:

498,960 ways

Step-by-step explanation:

The president position can be filled by any one of the 11 qualified candidates. After the president is chosen, the secretary position can be filled by any one of the remaining 10 candidates. Similarly, the treasurer position can be filled by any one of the remaining 9 candidates.

Next, the three director positions can be filled in any order by selecting 3 candidates out of the remaining 8 candidates. The order of the selected candidates does not matter because all 3 directors are equivalent.

Using the multiplication principle of counting, we can multiply the number of choices at each step to find the total number of ways to fill the positions:

Number of ways to choose the president = 11

Number of ways to choose the secretary = 10

Number of ways to choose the treasurer = 9

Number of ways to choose the 3 directors = C(8, 3) = 56 (since order doesn't matter)

Total number of ways to fill the positions = 11 x 10 x 9 x 56 = 498,960

Therefore, there are 498,960 ways to fill the positions in the software development company.

The  company can fill the positions in 332,640 ways.

Combination is a way of selecting a subset of objects from a larger set, where the order of selection does not matter.

The company needs to elect a president, a secretary, a treasurer, and three directors.

There are 11 qualified candidates who can run for any of the positions.

The company can fill the positions in the following order:

President (11 candidates to choose from)

Secretary (10 candidates left to choose from)

Treasurer (9 candidates left to choose from)

Director 1 (8 candidates left to choose from)

Director 2 (7 candidates left to choose from)

Director 3 (6 candidates left to choose from)

So, the total number of ways the positions can be filled is:

= 11 × 10 × 9 × 8 × 7 × 6

= 332,640

Therefore, the company can fill the positions in 332,640 ways.

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Answer:

The value of x is 0.04.

Step-by-step explanation:

(180 x 5) - 23x - 15 = 540

x = 0.04

The equations to an equivalent equation with a perfect square on one side are below: x² + 8x = 2 ⇒ (x + 4)² = 18, x² + 10x = -13 ⇒  (x + 5)² = 12, x² - 14x = 5  ⇒ (x - 7)² = 54, x² + 2x = 0  ⇒ (x + 1)² = 1, x² + 4x -5 = 0  ⇒ (x + 2)² = 9 and x² -20x = -9  ⇒ (x - 10)² = 91.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

According to the given question, the required solution would be as:

x² + 8x = 2

x² + 2 × 4 × x = 2

Add both sides 16 in the above equation,

x² + 2 × 4 × x + 16 = 2 + 16

x² + 2 × 4 × x + 4² = 2 + 16

As per the formula : (a + b)² = a² + 2 × a × b + b²

(x + 4)² = 18

x² + 8x = 2 ⇒ (x + 4)² = 18

Evaluation each equation similarly, then we get

x² + 10x = -13 ⇒  (x + 5)² = 12

x² - 14x = 5  ⇒ (x - 7)² = 54

x² + 2x = 0  ⇒ (x + 1)² = 1

x² + 4x -5 = 0  ⇒ (x + 2)² = 9

x² -20x = -9  ⇒ (x - 10)² = 91

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After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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Answer:

D. x = 12

I hope this helps!