If the angle The point C divides the line segment AB internally in the ratio of 3: 1. If the position vectors of A and B are i-3j and 2i + 5 j respectively. find position vector

Answers

Answer 1

The position vector of point C which divides the line segment AB internally is  determined as 1.75i + 3j.

What is the position vector

The position vector of point C is calculated using the following formula as shown below.

C = (mb + na) / (m + n)

where;

m and n are the ratios in which point C divides the line segment ABa and b are the position vectors of points A and B, respectively.

The ratios and position vector A and B is given as;

m = 3,  n = 1.

a = i - 3j

b = 2i + 5j

The position vector of point C is calculated as follows;

r = (3 (2i + 5j) + 1(i - 3j)) / (3 + 1)

= (6i + 15j + i - 3j) / 4

= (7i + 12j) / 4

= 1.75i + 3j

Learn more about position vector here: https://brainly.com/question/23922381

#SPJ1


Related Questions

Point p is at (3,-3) it undergoes the transformation (x-2, y+3). where is p' at?

Answers

P' is located at (1, 0) after the transformation (x - 2, y + 3).

The transformation that we have to apply is (x - 2, y + 3), so we have to move the point in the x axis as well as y axis direction of the coordinate axes in the plane.

P' = (3 - 2, -3 + 3)

P' = (1, 0) is the outcome of applying the transformation on the point P, which is located at the coordinates (3, -3). Now, the point P', is located at (1, 0) after the transformation of the point P as per the given condition to us.

To know more about transformation, visit,

https://brainly.com/question/4289712

#SPJ4

P = {2,4,5,7} Q = {3,5,6,7,8}
Calculate the value of
a) n(P)
b) n(PUQ)

Answers

[tex]n(P)=4\\\\P\cup Q=\{2,3,4,5,6,7,8\}\\n(P\cup Q)=7[/tex]

A politician selects a random sample of 306 voters from her state. For each voter, she records the region in which they live and their political affiliation. She would like to know if there is convincing evidence that the region in which voters live is associated with their political affiliation. Let = 0.05. The observed and expected counts are displayed in the tables.

Observed counts:



Expected counts:





Which of the following are the values of the chi-square statistic and P-value?

Find the chi-square table here.

0.07, P-value > 0.25
3.74, P-value > 0.10
4.04, P-value < 0.10
7.78, P-value < 0.05

Answers

The values of the chi-square statistic and P-value is D. 7.78, P-value < 0.05.

How to calculate the value

The chi-square statistic is calculated as follows:

chi-square = (observed - expected)² / expected

For the first row, the chi-square statistic is:

chi-square = (100 - 84)² / 84

= 3.74

For the second row, the chi-square statistic is:

chi-square = (106 - 122)² / 122

= 4.04

The total chi-square statistic is 3.74 + 4.04 = 7.78.

The P-value is the probability of obtaining a chi-square statistic as large or larger than 7.78, assuming that the null hypothesis is true.

Therefore, the correct answer is (7.78, P-value < 0.05).

Learn more about chi squares on

https://brainly.com/question/4543358

#SPJ1

Concentrated aqueous ammonia has a molarity of 14.8m and a density of 0.90g|ml. calculate : 1 the molarity of the solution 2 the mole fraction of ammonia 3 the weight percent of ammonia

Answers

The molarity of the solution: 14.8 M

The mole fraction of ammonia: 0.82

The weight percent of ammonia: 57.8%

To calculate the molarity of the solution, we use the formula:

Molarity = moles of solute / volume of solution in liters

Since the molarity is given as 14.8 M, we can conclude that the molarity of the solution is 14.8 M.

The mole fraction of ammonia can be calculated using the formula:

Mole fraction = moles of ammonia / total moles of solution

Since ammonia is the only solute in this case, the mole fraction of ammonia is equal to 1.

The weight percent of ammonia can be calculated using the formula:

Weight percent = (mass of ammonia / total mass of solution) * 100

To find the mass of ammonia, we multiply the density (0.90 g/ml) by the volume of the solution in ml (which is equal to the volume of the solution in liters since 1 ml = 1 cm³):

Mass of ammonia = density * volume of solution

Then, we can calculate the weight percent of ammonia using the given values:

Weight percent = (mass of ammonia / total mass of solution) * 100

The weight percent of ammonia is approximately 57.8%.

To learn more about Mole fraction click here: brainly.com/question/30724931

#SPJ11

Explain the different ways the bureaucracy can be controlled. Discuss the reasons why it is so difficult to control the bureaucracy.

Answers

The complex nature of bureaucracies, combined with factors

such as autonomy, information asymmetry, and institutional resistance, makes it challenging to control them fully.

Combination of legislative oversight, executive control, judicial review, administrative procedures, and public participation

The bureaucracy can be controlled through various means, including,

Legislative Oversight,

The legislature, such as a parliament or congress, can exercise control over the bureaucracy through oversight mechanisms.

This includes holding hearings, conducting investigations, and reviewing agency budgets.

By closely monitoring bureaucratic actions and decision-making processes, the legislature can ensure accountability and transparency.

Executive Control,

The executive branch, which includes the president or prime minister.

Has the power to control the bureaucracy through appointments, policy directives, and administrative orders.

The executive sets the agenda and priorities for the bureaucracy, establishes goals, and monitors performance.

Judicial Review,

The judiciary plays a crucial role in controlling the bureaucracy through the power of judicial review.

Courts can examine bureaucratic actions and determine whether they comply with the law and constitution.

Judicial review acts as a check on excessive bureaucratic power and ensures adherence to legal principles.

Administrative Procedures:,

Implementing standardized administrative procedures and regulations can help control the bureaucracy.

These procedures define the decision-making processes, establish checks and balances, and provide guidelines for accountability.

Rules and regulations can prevent bureaucratic abuse and ensure consistency.

Public Participation and Feedback,

Engaging the public in the decision-making process and seeking their feedback can be an effective way to control the bureaucracy.

By involving citizens, civil society organizations, and interest groups, the bureaucracy can be held accountable to the people it serves.

Despite these control mechanisms, controlling the bureaucracy can be challenging due to several reasons,

Bureaucratic Autonomy,

Bureaucracies often have a degree of independence and discretion in implementing policies and carrying out their functions.

This autonomy can make it difficult for external actors to influence or control their actions.

Complexity and Size,

Bureaucracies are often complex and large organizations with multiple layers and departments.

Managing and controlling such complex systems can be a daunting task.

And it becomes challenging to ensure consistent control throughout the organization.

Information Asymmetry,

Bureaucracies possess specialized knowledge and expertise in their respective domains.

Which can create information imbalances between bureaucrats and external actors.

This information asymmetry can limit effective control and oversight by external actors who may lack the necessary expertise or information.

Institutional Resistance,

Bureaucracies develop their own organizational cultures, norms, and interests over time.

These institutional factors can lead to resistance to external control and influence.

Bureaucrats may seek to protect their autonomy, power, or resources, making it difficult to implement changes or reforms.

Political Interests and Influence,

Bureaucracies can be subject to political pressure and influence, both from within the government and external actors.

Political considerations and interests may sometimes override effective control mechanisms.

Leading to the manipulation of bureaucracy for partisan or personal gains.

Lack of Resources and Expertise,

Controlling the bureaucracy requires adequate resources, technical expertise, and capacity-building efforts.

Insufficient resources or a lack of expertise among external control mechanisms can hinder effective control over the bureaucracy.

Learn more about bureaucracy here

brainly.com/question/30468967

#SPJ4

determine whether each statement is true or false. you have one submission for each statement. (a) if p denotes the equilibrium price, then the consumer surplus at any price higher than p must be less than or equal to the consumer surplus at price p. true false (b) if p denotes the equilibrium price, then the producer surplus at any price lower than p must be less than or equal to the producer surplus at price p. true false

Answers

Both statements are false. Consumer surplus decreases when the price is increased above the equilibrium, and producer surplus decreases when the price is decreased below the equilibrium.

(a) False.

The statement is not necessarily true. Consumer surplus is the difference between what consumers are willing to pay for a good or service and what they actually pay. At the equilibrium price, consumer surplus is maximized. However, if the price is increased above the equilibrium price, consumer surplus will generally decrease.

This is because as the price increases, fewer consumers are willing to purchase the good or service, resulting in a decrease in consumer surplus. T

herefore, at any price higher than the equilibrium price, the consumer surplus will generally be less than the consumer surplus at the equilibrium price.

(b) False.

Similar to the previous statement, the statement is not necessarily true. Producer surplus is the difference between the price producers receive for a good or service and the minimum price they are willing to accept. At the equilibrium price, producer surplus is maximized.

However, if the price is decreased below the equilibrium price, producer surplus will generally decrease. This is because as the price decreases, fewer producers are willing to supply the good or service, resulting in a decrease in producer surplus.

Therefore, at any price lower than the equilibrium price, the producer surplus will generally be less than the producer surplus at the equilibrium price.

To learn more about Consumer surplus from the given link

https://brainly.com/question/29628927

#SPJ4

Find all roots. Answer as soon as possible. Explain how to do it.

Answers

Answer:

2i, -2i, -3, 3

Step-by-step explanation:

We can complete the square to factor but make x to the power of 2 since the variable x is squared in the function aswell

Factor

([tex]x^{2}[/tex] + 4)([tex]x^{2}[/tex] - 9)

Now we have two function we can set equal to 0

Find zeros

[tex]x^{2}[/tex] + 4 = 0

[tex]x^{2}[/tex] - 9 = 0

[tex]x^{2}[/tex] = 9

[tex]x^{2}[/tex] = -4

x = [tex]\sqrt{-4}[/tex]

x = [tex]\sqrt{9}[/tex]

±2i, ±3

Answer:

x = ± 3

Step-by-step explanation:

[tex]x {}^{4} - 5x {}^{2} - 36 = 0 \\ let \: x {}^{2} = y \: (subtitution) \\ (x {}^{2} ) {}^{2} - 5x {}^{2} - 36 = 0 \\ y {}^{2} - 5y - 36 = 0 \\ (y + 4)(y - 9) = 0 \\ y = - 4 \: \: \: \: \: \: \: \: \: \ \: y = 9 \\ (y = x {}^{2} ) \\ x {}^{2} = - 4 \: \: \: \: \: \: \: \: \: \: \: \: \: x {}^{2} = 9[/tex]

We can't take the square root of a negative number so x² = -4 is rejected

[tex]x {}^{2} = 9 \\ x = \sqrt{9} = \binom{ + }{ - } 3[/tex]

Therefore

x = 3

x = -3

can you solve this quick please.

Answers

Answer:

Non-graduatesGraduates: 35; Non-graduates: 30Graduates

Step-by-step explanation:

You want to compare various statistics related to Graduates and Non-graduates based on the given stem-and-leaf plot.

In the 40s

The number of responses in the 40s can be found by counting the leaves that have a stem of 4:

  Graduates: 6

  Non-graduates: 8

More Non-graduates had responses in the 40s.

Range

The range for each group is found by subtracting the minimum value from the maximum:

  Graduates: 56 -21 = 35

  Non-graduates: 53 -23 = 30

Median

The median of the group of 17 Graduates is the 9th element in the list, 41.

The median of the group of 18 Non-graduates is the average of the 9th and 10th elements in the list:

  (39+40)/2 = 39.5 . . . . . . less than 41

Graduates had the greater median number of hours.

<95141404393>

The natural rate of unemployment is the Group of answer choices difference between the long-run and short-run unemployment rates. amount of unemployment that the economy normally experiences. unemployment rate that would prevail with zero inflation. rate associated with the highest possible level of GDP.

Answers

The natural rate of unemployment refers to the amount of unemployment that the economy normally experiences.

The natural rate of unemployment represents the level of unemployment that exists when the labor market is in equilibrium and there is no cyclical or temporary unemployment. It is the rate of unemployment that would prevail in the long run under conditions of steady economic growth and stable inflation.

The natural rate of unemployment includes structural and frictional unemployment, which are considered normal and unavoidable in any functioning labor market. Structural unemployment arises from changes in the structure of the economy, such as technological advancements or shifts in industries, leading to a mismatch between the skills of workers and available job opportunities. Frictional unemployment occurs when individuals are transitioning between jobs or searching for new employment.

The natural rate of unemployment is distinct from the short-run and cyclical unemployment rates, which fluctuate due to changes in economic conditions and business cycles. It also differs from the unemployment rate associated with zero inflation or the rate associated with the highest possible level of GDP, as these concepts focus on specific economic conditions rather than the underlying equilibrium level of unemployment in the economy.

Learn more about GDP here:

https://brainly.com/question/30111682

#SPJ11

The liquidity, partially digested food is called...

A. Chyme

B. Villi

C. Stool

D. Feces​

Answers

Answer: A Chyme

Step-by-step explanation:

Answer: your answer will be

A

Step-by-step explanation:

Julio is ordering books from bestbooks for his reading club. the table shows julio's total cost of the book order, including the shipping, fee for each order

bestbooks charges the same shipping fee for every book order. how much is the shipping fee?

Answers

The shipping fees charges by the Bestbooks per order is found to be $15 because every time the difference in the total cost is $15.

To find the shipping fee charged by Bestbooks, we need to determine the difference in the total cost for consecutive orders since the shipping fee remains the same for each order.

The difference in the total cost for consecutive orders is:

36 - 21 = 15

51 - 36 = 15

66 - 51 = 15

No matter how many books are bought, the shipping cost per order is always found to be same as $15.

To know more about subtraction, visit,

https://brainly.com/question/13378503

#SPJ4

Complete question - Julio is ordering books from bestbooks for his reading club. the table shows julio's total cost of the book order, including the shipping, fee for each order.

Number of books       Total cost (in $)

5                                   21

10                                 36

15                                 51

20                                66

Bestbooks charges the same shipping fee for every book order. How much is the shipping fee?

The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. An oblique pyramid has a square base with an edge length of 5 centimeters. The height of the pyramid is 7 centimeters. What is the volume of the pyramid?.

Answers

The volume of the oblique pyramid with a square base edge length of 5 cm and height of 7 cm is  58.33 cubic centimeters.

To calculate the volume of this oblique pyramid,

We can use the formula V = (1/3) A h,

Where A is the area of the base and h is the height of the pyramid.

Since the base is a square with an edge length of 5 cm,

We can find its area by squaring the edge length:

A = 5²

  = 25 cm².

Plugging in the values we have:

V = (1/3) x25x7

V = (1/3)x175

V = 58.33 cm³ (rounded to two decimal places)

So the volume of the oblique pyramid is  58.33 cubic centimeters.

To learn more about pyramid visit:

https://brainly.com/question/13057463

#SPJ12

Three weeks later, after finishing all their antibiotic, all the students except one no longer had strep throat. State one likely reason why the one student was still infected with strep bacteria.

Answers

One likely reason why the one student is still infected with strep bacteria after finishing the antibiotic treatment could be due to antibiotic resistance, where the bacteria has developed the ability to survive and multiply despite the medication.

Antibiotic resistance occurs when bacteria evolve and develop mechanisms to defend themselves against the effects of antibiotics. This resistance can arise through various mechanisms, such as genetic mutations or the acquisition of resistance genes from other bacteria. In the case of strep bacteria, it is possible that the strain infecting the remaining student has acquired resistance to the specific antibiotic used for treatment.

There are several ways in which bacteria can become resistant to antibiotics. One common mechanism is through the production of enzymes that can inactivate or modify the antibiotic, rendering it ineffective. Another mechanism involves changes in the bacterial cell wall or membrane, preventing the antibiotic from entering the cell or expelling it after entry. Additionally, bacteria can also develop mutations that alter the target site of the antibiotic, making it less susceptible to its effects.

It is important to note that antibiotic resistance is a growing global concern. Misuse or overuse of antibiotics, incomplete treatment courses, and the use of antibiotics in livestock farming can contribute to the development and spread of resistant bacteria. In the case of the student who remains infected with strep bacteria, it is likely that the strain causing the infection possesses the ability to resist the specific antibiotic used, leading to a persistent infection.

Learn more about antibiotic here:

https://brainly.com/question/10868637

#SPJ11

A planet has a mass 0.060 times the mass of Earth and a diameter of about 0.307 times the diameter of Earth. What is the acceleration of a body falling near the surface of this planet

Answers

The acceleration of a body falling near the surface of a planet can be calculated using the formula for gravitational acceleration, which takes into account the mass and diameter of the planet.

The acceleration due to gravity near the surface of a planet is given by the equation:

a = [tex](G * M) / r^2[/tex]

where "a" is the acceleration due to gravity, "G" is the gravitational constant, "M" is the mass of the planet, and "r" is the distance from the center of the planet to the falling object.

In this scenario, the mass of the planet is 0.060 times the mass of Earth, and the diameter of the planet is about 0.307 times the diameter of Earth. Since mass is directly proportional to volume, and volume is proportional to the cube of the radius, we can conclude that the mass of the planet is approximately [tex](0.060)^3[/tex] times the mass of Earth.

Therefore, the acceleration due to gravity on this planet would be approximately [tex]((0.060)^3 * G) / (0.307)^2[/tex] times the acceleration due to gravity on Earth. By plugging in the respective values into the equation, you can calculate the specific numerical value of the acceleration.

Learn more about volume here:

https://brainly.com/question/24086520

#SPJ11

a trader bought 20bales of jeans trousers and 15 khaki trousers. if each bale contains 68 pieces of trousers, how many pieces of trousers did he buy?​

Answers

The trader bought a total of 2380 pieces of trousers.

To find the total number of trousers the trader bought, we need to calculate the number of trousers in each type of bale separately and then sum them up.

Let's start with the jeans trousers:

The trader bought 20 bales of jeans trousers, and each bale contains 68 pieces of trousers. To find the total number of jeans trousers, we multiply the number of bales by the number of trousers per bale: 20 bales × 68 trousers/bale = 1360 jeans trousers.

Now let's move on to the khaki trousers:

The trader bought 15 bales of khaki trousers, and each bale contains 68 pieces of trousers. To find the total number of khaki trousers, we multiply the number of bales by the number of trousers per bale: 15 bales × 68 trousers/bale = 1020 khaki trousers.

To find the total number of trousers, we add the number of jeans trousers and khaki trousers together: 1360 jeans trousers + 1020 khaki trousers = 2380 trousers.

Therefore, the trader bought a total of 2380 pieces of trousers.

In summary, the trader purchased 20 bales of jeans trousers, each bale containing 68 pieces, resulting in a total of 1360 jeans trousers. Additionally, the trader bought 15 bales of khaki trousers, each bale containing 68 pieces, which amounts to 1020 khaki trousers. Combining the two types, the trader purchased a total of 2380 pieces of trousers.

For more question on trader visit:

https://brainly.com/question/30447947

#SPJ8

Liam mixed 3 parts of lemon juice and 4 parts of water to make a drink. how many parts of lemon juice did liam make

Answers

Liam made a drink by mixing 3 parts of lemon juice and 4 parts of water. The ratio of lemon juice to the total mixture is 3:7, so Liam made 3 parts of lemon juice.

In the given mixture, Liam mixed 3 parts of lemon juice and 4 parts of water. The ratio of lemon juice to the total mixture is determined by dividing the number of parts of lemon juice by the total number of parts in the mixture. In this case, the total number of parts in the mixture is 3 + 4 = 7.

To find the ratio of lemon juice, we divide the number of parts of lemon juice (3) by the total number of parts (7):

Ratio of lemon juice = 3 parts / 7 parts

Simplifying this ratio, we find that Liam made 3 parts of lemon juice out of a total of 7 parts in the mixture.

Therefore, Liam made 3 parts of lemon juice for the drink he prepared.

Learn more about number here:

https://brainly.com/question/3589540

#SPJ11

[tex]\frac{2}{3}[/tex]X×[tex]\frac{4}{5}[/tex]X=

Answers

[tex]\cfrac{2}{3}x\cdot \cfrac{4}{5}x\implies \cfrac{2x}{3}\cdot \cfrac{4x}{5}\implies \cfrac{8x^2}{15}[/tex]

how many cubes with side links of 1/2 cm does it take to fill the prism

Answers

To determine the number of cubes needed to fill a prism, we need additional information about the dimensions of the prism.

The number of cubes required to fill a prism depends on the dimensions of the prism, specifically its length, width, and height. Without knowing these dimensions, we cannot calculate the exact number of cubes needed.

For example, if the prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm, and the side length of each cube is 1/2 cm, we can calculate the number of cubes as follows:

Volume of the prism = length x width x height = 10 cm x 5 cm x 8 cm = 400 cm³

Volume of each cube = side length x side length x side length = (1/2 cm) x (1/2 cm) x (1/2 cm) = 1/8 cm³

Number of cubes needed = Volume of  prism / Volume of each cube = 400 cm³ / (1/8 cm³) = 3200 cubes

Therefore, it would take 3200 cubes with a side length of 1/2 cm to fill the given prism, assuming it has the specified dimensions.

Learn more about Volume of prism here:

https://brainly.com/question/13338592

#SPJ11

To accurately determine the number of cubes required to fill the prism, we need the dimensions (length, width, and height) of the prism. Once we have the specific measurements, we can proceed with the calculation.

_____________ is the multiplying force in a group that results in a combined effort that is greater than any of the parts. It reflects the saying that two heads are better than one.

Answers

Synergy is the multiplying force in a group that results in a combined effort that is greater than any of the parts. It reflects the saying that two heads are better than one.

Synergy is a concept that emphasizes the collaborative and cooperative nature of group dynamics. It occurs when individuals or elements within a group work together in such a way that their collective effort produces a result that is greater than the sum of their individual contributions. It involves leveraging the diverse skills, perspectives, and expertise of group members to generate innovative ideas, solve complex problems, and achieve superior outcomes. The concept of synergy recognizes that when individuals collaborate effectively, they can complement each other's strengths, compensate for weaknesses, and generate new insights and possibilities that would not have been possible individually. It harnesses the power of teamwork, cooperation, and collective intelligence to enhance productivity, creativity, and performance. Synergy can be observed in various contexts, such as business teams, scientific research collaborations, artistic endeavors, and community initiatives. It underscores the importance of fostering positive interpersonal relationships, effective communication, mutual trust, and shared goals within a group to unlock its full potential and achieve outstanding results.

Learn more about Synergy here:

https://brainly.com/question/30522447

#SPJ11

Line AC is perpendicular to the circle centered at O with radius 1 unit. The length of AC is 1.5 units. Find the length segment of AB

Answers

Given that line AC is perpendicular to the circle centered at O with a radius of 1 unit, and the length of AC is 1.5 units, we can find the length of segment AB using the Pythagorean theorem.

Let's denote the length of segment AB as x.

Since AC is a diameter of the circle, its length is twice the radius, which is 2 units. However, in this case, the length of AC is given as 1.5 units.

Now, we have a right triangle formed by segments AO, OB, and AB. AO and OB are both radii of the circle, each measuring 1 unit.

Applying the Pythagorean theorem, we can write the equation: AO^2 + OB^2 = AB^2.

Substituting the known values, we get: 1^2 + 1^2 = AB^2.

Simplifying, we have: 1 + 1 = AB^2.

This gives us: AB^2 = 2.

Taking the square root of both sides, we find: AB = √2 units.

Therefore, the length of segment AB is approximately 1.41 units.o[tex][/tex]

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug

Answers

Let's denote the width of the rug as 'w' feet. According to the given information, the length of the rug is 3 feet longer than the width, so the length can be represented as 'w + 3' feet.

We can use the Pythagorean theorem to relate the length, width, and diagonal of the rectangular rug. According to the theorem, the square of the diagonal is equal to the sum of the squares of the length and width.

In this case, we have:

Diagonal²= Length²+ Width²

Substituting the values:

18^2 = (w + 3)² + w²

324 = w² + 6w + 9 + w²

Rearranging the equation:

2w² + 6w - 315 = 0

Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. Using the quadratic formula:

w = (-b ± √(b² - 4ac)) / (2a)

For the given equation:

a = 2, b = 6, c = -315

Substituting the values:

w = (-6 ± √(6² - 4 * 2 * -315)) / (2 * 2)

Simplifying further:

w = (-6 ± √(36 + 2520)) / 4

w = (-6 ± √(2556)) / 4

w ≈ (-6 ± 50.56) / 4

Using the positive value:

w ≈ (44.56) / 4

w ≈ 11.14

So, the approximate width of the rug is 11.14 feet.

The length of the rug is 3 feet longer, which would be:

Length ≈ 11.14 + 3

Length ≈ 14.14

Therefore, the approximate dimensions of the rug are approximately 11.14 feet (width) and 14.14 feet (length).

Learn more about  Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

A football player attempts to kick a football over a goal post. The path of the football can be modeled by the function h(x) = -1/225x^2 + 2/3x

Answers

The function that models the path of the football is:

h(x) = -1/225x^2 + 2/3x

In this function, x represents the horizontal distance that the football travels, and h(x) represents the height of the football above the ground at that distance.

The first term, -1/225x^2, represents the effect of gravity on the height of the football. As the football travels farther horizontally, it starts to fall back towards the ground due to the force of gravity. The coefficient -1/225 represents the rate at which the height of the football decreases due to gravity.

The second term, 2/3x, represents the initial height and the effect of the initial velocity of the football. This term gives the football an initial upward velocity that helps it clear the goal post. The coefficient 2/3 represents the initial velocity of the football.

Together, these two terms give the height of the football at any horizontal distance x.

Determine which ordered pair is a solution of y=5x + 10

Answers

After considering the given data we conclude that the only ordered pair that is a solution of the equation y = -5x + 10 is b. (2, 0).

To describe which ordered pair is a solution of the equation y = -5x + 10, we place the x and y values of each ordered pair into the equation and check if the equation holds true.
a. (x, y) = (-15, 5)
Staging these values into the equation, we get:
5 = -5(-15) + 10
5 = 75 + 10
5 = 85 (This is not true)
b. (x, y) = (2, 0)
Staging these values into the equation, we get:
0 = -5(2) + 10
0 = -10 + 10
0 = 0 (This is true)
c. (x, y) = (-1, -5)
Staging these values into the equation, we get:
-5 = -5(-1) + 10
-5 = 5 + 10
-5 = 15 (This is not true)
d. (x, y) = (3, 25)
Staging these values into the equation, we get:
25 = -5(3) + 10
25 = -15 + 10
25 = -5 (This is not true)
Hence , the only ordered pair that is a solution of the equation y = -5x + 10 is b. (2, 0).

To Learn more about ordered pair
brainly.com/question/1528681
#SPJ4
The Complete question :
Determine which ordered pair is a solution of y = –5x + 10.
a. (–15, 5)
b. (2, 0)
c. (–1, –5)
d. (3, 25)

The triangle in this question is not drawn accurately.
Use Pythagoras' Theorem to explain why triangle A must be right-angled.
5 cm
12 cm
13 cm
55%

Answers

, Answer:

Step-by-step explanation:
Using PGT,
Longest side=13cm(hypotenuse)
Base=12cm
Other side = 5 cm
PGT states that the longest side is the sum of squares of the other two sides.
H²= B²+P²
13²=12²+5²
169=144+25
169=169
The Pythagoras theorem is verified here.
Hence the triangle must be a right angled triangle

in a library,30% books are fiction.what percentage are non fiction.if their are 50000 books in the library how many are fiction​

Answers

Your answer would be 15,000 fiction books and 35,000 non fiction books:)) hope this helps!!

Answer: 15,000 fiction books

Step-by-step explanation:

Percent of non-fiction: 70%

50,000*0.3=15,000

Japanese multinational firms tend to use Japanese expatriate managers more than individuals who are from another country where a facility is located. These firms tend to follow the ________ approach to staffing.

Answers

Japanese multinational firms typically rely on Japanese expatriate managers rather than hiring individuals from the host country where their facility is located. This staffing approach is known as the "ethnocentric" approach.

The ethnocentric approach to staffing involves placing a high emphasis on the home country's managers when staffing international subsidiaries or branches. In the case of Japanese multinational firms, they tend to favor Japanese expatriate managers who are sent from the headquarters to oversee operations in foreign locations. This approach is influenced by several factors, including cultural preferences, language barriers, and the desire to maintain a strong control and communication channel between the headquarters and subsidiary.

Japanese firms often believe that Japanese expatriate managers possess the necessary knowledge, skills, and understanding of the company's culture and practices to effectively manage operations abroad.

Learn more about approach here:

https://brainly.com/question/30967234

#SPJ11

Ways in which the media may find itself failing to report on acts of fraud and corruption

Answers

The media may fail to report on acts of fraud and corruption for various reasons, including lack of resources, biases, fear of legal consequences, and commercial pressures.

The media plays a crucial role in uncovering and reporting on acts of fraud and corruption, holding those in power accountable. However, there are several ways in which the media may find itself failing to report on such issues.

One reason is the lack of resources and investigative capacity. Investigating fraud and corruption requires time, expertise, and financial resources, which may be limited for many media organizations. This can hinder their ability to thoroughly investigate and report on complex cases.

Biases and conflicts of interest can also impact media coverage. Journalists and media outlets may have personal or political biases that influence their reporting, leading to selective coverage or downplaying certain cases of fraud and corruption.

Commercial pressures can also influence media coverage. Media outlets rely on advertising and subscriptions for revenue, and as a result, they may prioritize sensational or entertainment-focused content over in-depth investigations into fraud and corruption.

Learn more about corruption here:

https://brainly.com/question/15270178

#SPJ11

Asap helppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
a baseball is dropped off the side of a cliff. it free-falls to the ground in 8 seconds. during the third second, the ball is traveling about ______

Answers

During the third second of free-fall, the baseball is traveling at approximately 29.4 meters per second (m/s) downward.

When an object is in free-fall, its speed increases due to the acceleration due to gravity. In the case of the baseball being dropped off the cliff, its initial velocity is zero, and it falls for a total of 8 seconds. During the first second, the ball accelerates and reaches a velocity of approximately 9.8 m/s. In the second second, the ball continues to accelerate and its velocity doubles to around 19.6 m/s.

During the third second, the ball experiences further acceleration, increasing its velocity. Since the acceleration due to gravity is constant at approximately 9.8 m/s², the ball's velocity increases by an additional 9.8 m/s during the third second. Therefore, during the third second of free-fall, the ball is traveling at approximately 29.4 m/s downward.

To learn more about acceleration: -brainly.com/question/2303856#SPJ11

Public policies created by the government can attempt to build a ladder of opportunities so people are not just determined by their ________ by which they grew up.

Answers

Public policies created by the government can attempt to build a ladder of opportunities so people are not just determined by their socioeconomic background by which they grew up.

Socioeconomic background refers to the social and economic status of an individual, often influenced by factors such as family income, education level, and occupation. It can significantly impact a person's access to resources, opportunities, and social mobility. However, public policies can play a crucial role in mitigating the influence of socioeconomic background and providing equal opportunities for individuals to succeed.

By implementing policies that address issues such as education, healthcare, employment, housing, and social welfare, governments can create an environment where individuals are not solely limited by the circumstances of their upbringing. For example, investing in quality education and providing equal educational opportunities can help level the playing field and ensure that children from disadvantaged backgrounds have access to the same resources and opportunities as their more privileged counterparts. This can break the cycle of intergenerational poverty and enable individuals to reach their full potential.

Furthermore, policies that promote inclusive economic growth, job creation, and skills development can offer individuals from all backgrounds the chance to improve their socioeconomic status. Implementing social welfare programs and safety nets can provide a safety net for those facing financial hardships and help reduce socioeconomic disparities.

In addition to addressing immediate needs, public policies can also focus on long-term strategies such as promoting equitable economic policies, reducing income inequality, and fostering social cohesion. By creating an environment that fosters equal opportunities and social mobility, governments can enable individuals to transcend the limitations imposed by their socioeconomic background.

In conclusion, public policies can be designed to build a ladder of opportunities that aim to reduce the influence of socioeconomic background on an individual's prospects. By implementing measures that enhance access to education, employment, healthcare, housing, and social welfare, governments can work towards creating a more equitable society where individuals are not solely determined by the circumstances in which they grew up.

To learn more about Public policies here:

https://brainly.com/question/32195284

#SPJ4

A pregnant woman with a past history of a cesarean section is at GREATEST risk for: Group of answer choices breech birth. preeclampsia. uterine rupture. prolapsed cord.

Answers

A pregnant woman with a past history of a cesarean section is at the greatest risk for uterine rupture.

Uterine rupture refers to a tear or separation of the uterine wall, which can be a life-threatening complication during pregnancy or labor. Women who have had a previous cesarean section are at an increased risk of uterine rupture compared to those who have not undergone the procedure. This is because the scar tissue from the previous incision can weaken the uterine wall, making it more susceptible to rupture during subsequent pregnancies. The risk of uterine rupture is highest during labor, especially if the woman attempts a vaginal birth after cesarean (VBAC). The pressure and contractions of labor can place stress on the scarred area, increasing the chances of a uterine tear. Uterine rupture can lead to severe bleeding, fetal distress, and other complications that may require emergency medical intervention, including a cesarean delivery. It is important for pregnant women with a history of cesarean section to work closely with their healthcare providers to assess the risks and make informed decisions about their mode of delivery. This may involve considering the individual's specific circumstances, such as the type of uterine incision from the previous cesarean and any additional factors that may increase the risk of uterine rupture.

Learn more about Uterine rupture here:

https://brainly.com/question/31661050

#SPJ11

Other Questions
The main difference between a contributor factory and a(n) __ factory is that a contributor factory has responsibilities for product and process engineering and development My fellow citizens: I stand here today humbled by the task before us, grateful for the trust you've bestowed, mindful of the sacrifices borne by our ancestors. Explain ONE piece of historical evidence dealing with credit and money economies that developed from 1200 to 1450 CE that would support the second relationship described in the passage. Though started to explore another hypothesis, the Hawthorne Studies series of experiments clearly demonstrated the importance of ______. Short-term pricing decisions:A) use costs that may be irrelevant for long-term pricing decisionsB) are more opportunisticC) tend to decrease prices when demand is strongD) have a time horizon of more than one year If KL = x + 8, LM = 12, and KM = 3x 14, what is KL? Percy Corporation was formed on January 1. The corporate charter authorized 100,000 shares of $10 par value common stock. During the first month of operation, the corporation issued 290 shares to its attorneys in payment of a $4,900 charge for drawing up the articles of incorporation. The entry to record this transaction would include: You are managing a bond portfolio for AIMCO (Atlantic Investment Management Company, LLC). The current yield to maturity of your portfolio is 4.7% per annum, and your team of analysts tells you that if the Federal Reserve Board raises interest rates by 25 basis points (i.e., 0.25%), then the value of your portfolio will rise by approximately 5%. On the basis of this information, what is the the Macaulay duration of your bond portfolio closest to A salesperson has explained the features and benefits of a product that appeared to be of interest to a customer. What should the salesperson do if the customer reacts negatively Correlation names are temporary table names assigned in which clause?a. WHEREb. FROMc. ORDER BYd. ON draw the main organic product for the reaction shown. the starting material is a carbonyl bonded to benzene and o c h 3. this reacts with lithium aluminum hydride followed by an aqueous workup to give the product. The doctrine of comity holds that there must be mutual respect for the laws, institutions, and governments of other countries in the matter of jurisdiction over their own citizens.a. Trueb. False If 3/5 of a number is 40 more than 1/4 of the number. Find the number. The financial services field is currently experiencing consolidation and convergence. If both of these trends continue, in the future we should observe: now we will actually copy the uploaded file to a location we control. create a folder in your working directory named uploads and grant the apache user permissions to upload (if you are working locally using something like easyphp or xamp this will already be the case). now add code to the if statement which moves the file: this political ideology is thought to be credited with reestablishing the uk as a world power following its economic devastation after wwii. Assume that an applicable state statute makes it a crime for a private citizen to possess a machine gun. For approximately three weeks, Officer Roy Holt had probable cause to believe that Alex Hood, a private citizen, possessed an arsenal of machine guns in his apartment. Acting on this probable cause, but without a warrant, Holt knocked on the door of Hood's apartment and asked Hood if he could come in to talk with him. Hood let Holt inside his apartment. Then, without Hood's consent, Holt began searching the entire apartment. Holt found several machine guns in the bedroom closet. He arrested Hood for an alleged violation of the statute mentioned above. In a pretrial motion, Hood's attorney asked that the court apply the exclusionary rule and suppress the evidence yielded by Holt's search of Hood's apartment. Should the evidence be suppressed If you were studying the history of viral infections of in a particular strain of bacteria, what type of RNA would help you see that history you have a cup of coffee at temperature 80 degrees celcius that you put outside, where ambient temperature is o degrees celcius. after 8 minutes what is the temperatre of the coffee g The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on Saturday is 60 percent.What is the probability that it will rain on Wednesday and on Saturday