Average {tex} = \frac{{sum\;of\;all\;observations}}{{total\;number\;of\;observations}}{/tex}

The force of friction due to air and water(and other fluids) is called fluid friction.

synthetic fabrics and plastics are used to make umbrellas and raincoats because these do not absorb the water and the water that fall on it slides down

25555 ×  99 = 2529945

A lubricant is a substance introduced between two moving surfaces to reduce friction between them. For example grease is applied between the moving parts of a machine.

Factors that helped the city become a textile centre :

• Ahmedabad is situated in the heart of a cotton growing area; hence the major raw material easily available.
• The humid climate is ideal for spinning and weaving.
• The flat terrain and easy availability of land is suitable for the establishment of the mills.
• The densely populated states of Gujarat and Maharashtra provide both skilled and semi-skilled labour.
• Well developed road and railway network permits easy transportation of textiles to different parts of the country, thus providing easy access to the market.
• The Mumbai port which is situated nearby facilitates import of machinery and export of cotton textiles.

Role of the Prosecutor

1. The role of the Public Prosecutor  begins once the police has conducted the investigation and filed the charge sheet in the court.
2. He represents the interests of the State and conduct the prosecution on behalf of the State.
3. The Public Prosecutor is not involved in the investigation that is conducted by the police.
4. The PP should act impartially and present the full facts, witnesses and evidence before the court to enable the court to decide the case.

Role of the  Judge

1. The judge conducts the trial impartially and in an open court.
2. The judge hears all the witnesses and any other evidence presented by the prosecution and the defence.
3. The judge decides whether the accused person is guilty or innocent on the basis of the evidence presented and in accordance with the law.
4. If the accused is convicted, then the judge pronounces the sentence. He may send the person to jail or impose a fine or both, depending on what the law prescribes.

To uphold the spirit of the Constitution, the Central and State Governments have initiated schemes to improve socioeconomic and educational standards of the marginalised communities. These are:

• The Government provides subsidised or free accommodation facilities for students of backward castes and tribes in hostels.
• The Government has passed a reservation policy which reserves seats in government educational institutions and government jobs for people belonging to the SCs and the STs. Such students have to furnish proof of their caste or tribal status while applying for jobs in government-controlled institutions.
• While applying for admissions to government colleges, the Government has set ‘cut-off’ marks for students of backward castes and tribes. Scholarships are also given to such students.

• The Government provides subsidised or free accommodation facilities for students of backward castes and tribes in hostels.
• The Government has passed a reservation policy which reserves seats in government educational institutions and government jobs for people belonging to the SCs and the STs. Such students have to furnish proof of their caste or tribal status while applying for jobs in government-controlled institutions.
• While applying for admissions to government colleges, the Government has set ‘cut-off’ marks for students of backward castes and tribes. Scholarships are also given to such students.
• The Scheduled Castes and the Scheduled Tribes (Prevention of Atrocities) Act was passed in 1989. This Act was formulated in order to push for the equal status of the Dalits and punish those people who ill treated and humiliated them. This Act was also passed to safeguard the interests of the Adivasis.
• Employment of Manual Scavengers and Construction of Dry Latrines (Prohibition) Act was passed in 1993. This law prohibits employment of manual scavengers and the construction of dry latrines. 

To uphold the spirit of the Constitution, the Central and State Governments have initiated schemes to improve socioeconomic and educational standards of the marginalised communities. These are:

• The Government provides subsidised or free accommodation facilities for students of backward castes and tribes in hostels.
• The Government has passed a reservation policy which reserves seats in government educational institutions and government jobs for people belonging to the SCs and the STs. Such students have to furnish proof of their caste or tribal status while applying for jobs in government-controlled institutions.
• While applying for admissions to government colleges, the Government has set ‘cut-off’ marks for students of backward castes and tribes. Scholarships are also given to such students.
• The Government provides subsidised or free accommodation facilities for students of backward castes and tribes in hostels.
• The Government has passed a reservation policy which reserves seats in government educational institutions and government jobs for people belonging to the SCs and the STs. Such students have to furnish proof of their caste or tribal status while applying for jobs in government-controlled institutions.
• While applying for admissions to government colleges, the Government has set ‘cut-off’ marks for students of backward castes and tribes. Scholarships are also given to such students.
• The Scheduled Castes and the Scheduled Tribes (Prevention of Atrocities) Act was passed in 1989. This Act was formulated in order to push for the equal status of the Dalits and punish those people who ill treated and humiliated them. This Act was also passed to safeguard the interests of the Adivasis.
• Employment of Manual Scavengers and Construction of Dry Latrines (Prohibition) Act was passed in 1993. This law prohibits employment of manual scavengers and the construction of dry latrines. 

It is very difficult to write anything about  Shantiniketan (the abode of peace). It all started during the  renaissance period of Bengal. Though Gurudev Ravindra Nath Tagore  visualized Shantiniketan but actually it was his father Maharshi  Devendra Nath Tagore, came to Bolpur in 1889.He belonged to the princely  family of Prince Dwaraka Nath Tagore of Calcutta, had modern education  through English medium. At one stage he realized that plain Hinduism is  not enough for the society, as he was highly educated in Sanskrit,  Arabic, Persian and many Western languages, he felt that Vedic teaching  was supreme. He started worshiping of “ Nirakar Brahama”or the God  without any face, as the people of Vedic era did. This was some three  thousand years ago. Maharshi Devendra Nath established The Bhrahmo Samaj  or the followers of God without any face. This sect will have no  Religion, no worshiping of Idol, preach non- violence, no sacrifice of  animals, birds in the temple premises, no caste system, every body will  follow the life style as said in the Vedas. Joined him the highly  educated aristocrats of Bengal, who also felt Hinduism of Bengal at that  time is full of atrocities like SATI (women will also die if the  husband dies and most of the times they were forced to the Pyre) and so  on.

Jupiter is the largest planet of the solar system.

When we factorise an algebraic expression, we write it as a product of factors. These factors may be numbers, algebraic variables or algebraic expressions
The expression 6x (x - 2). It can be written as a product of factors. 2,3, x and (x - 2)
6x (x - 2).  =2×3× x× (x - 2)
The factors 2,3, x and (x +2) are irreducible factors of 6x (x + 2).

Penny killed the doe to save his own life. When jody expressed his feelings to bring the fawn home, the doctor feelings to bring the fawn home, the doctor said so because it was just like a payment or return for the death of the doe.

divide 
p4+p3-p2+1 by p-1

refer to the attachment given below:

Explanation:

It is a collection of programs that enables users to create, maintain database and control all the access to the database. It is a computer based record keeping system. DBMS is a software package that manages database, e.g. MySQL, INGRES, MS-ACCESS etc.DBMS is actually a tool that is used to perform any kind of operation on data in database.

Need:

It can be used for:

It provides us with the many functionalities and is more advantageous than the traditional file system in many ways listed below:

1) Processing Queries and Object Management:
In traditional file systems, we cannot store data in the form of objects. In practical-world applications, data is stored in objects and not files. So in a file system, some application software maps the data stored in files to objects so that can be used further.
We can directly store data in the form of objects in a database management system. Application level code needs to be written to handle, store and scan through the data in a file system whereas a DBMS gives us the ability to query the database.

2) Controlling redundancy and inconsistency:
Redundancy refers to repeated instances of the same data. A database system provides redundancy control whereas in a file system, same data may be stored multiple times. For example, if a student is studying two different educational programs in the same college, say ,Engineering and History, then his information such as the phone number and address may be stored multiple times, once in Engineering dept and the other in History dept. Therefore, it increases time taken to access and store data. This may also lead to inconsistent data states in both places. A DBMS uses data normalization to avoid redundancy and duplicates.

3) Efficient memory management and indexing:
DBMS makes complex memory management easy to handle. In file systems, files are indexed in place of objects so query operations require entire file scans whereas in a DBMS , object indexing takes place efficiently through database schema based on any attribute of the data or a data-property. This helps in fast retrieval of data based on the indexed attribute.

4) Concurrency control and transaction management:
Several applications allow user to simultaneously access data. This may lead to inconsistency in data in case files are used. Consider two withdrawal transactions X and Y in which an amount of 100 and 200 is withdrawn from an account A initially containing 1000. Now since these transactions are taking place simultaneously, different transactions may update the account differently. X reads 1000, debits 100, updates the account A to 900, whereas Y also reads 1000, debits 200, updates A to 800. In both cases account A has wrong information. This results in data inconsistency. A DBMS provides mechanisms to deal with this kind of data inconsistency while allowing users to access data concurrently. A DBMS implements <a href="http://quiz.geeksforgeeks.org/acid-properties-in-dbms/">ACID</a>(atomicity, durability, isolation,consistency) properties to ensure efficient transaction management without data corruption.

5) Access Control and ease in accessing data:
A DBMS can grant access to various users and determine which part and how much of the data can they access from the database thus removing redundancy. Otherwise in file system, separate files have to be created for each user containing the amount of data that they can access. Moreover, if a user has to extract specific data, then he needs a code/application to process that task in case of file system, e.g. Suppose a manager needs a list of all employees having salary greater than X. Then we need to write business logic for the same in case data is stored in files. In case of DBMS, it provides easy access of data through queries, (e.g., SELECTqueries) and whole logic need not be rewritten. Users can specify exactly what they want to extract out of the data.

6) Integrity constraints: Data stored in databases must satisfy integrity constraints. For example, Consider a database schema consisting of the various educational programs offered by a university such as(B.Tech/M.Tech/B.Sc/M.Sc/BCA/MCA) etc. Then we have a schema of students enrolled in these programs. A DBMS ensures that it is only out of one of the programs offered schema , that the student is enrolled in, i.e. Not anything out of the blue. Hence, database integrity is preserved.

Apart from the above mentioned features a database management also provides the following:

• Creation of a database.
• Retrieval of information from the database.
• Updating the database.
• Managing a database.
  • Multiple User Interface
  • Data scalability, expandability and flexibility: We can change schema of the database, all schema will be updated according to it.
  • Overall the time for developing an application is reduced.
  • Security: Simplifies data storage as it is possible to assign security permissions allowing restricted access to data.