[Aseem]

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To simplify the expression (2x + 3y) – (4x – 2y), we need to distribute the negative sign to the terms inside the parentheses. Here are the steps to simplify it:

Step 1: Distribute the negative sign to the terms inside the second set of parentheses:

(2x + 3y) – 4x + 2y.

Step 2: Combine like terms. In this case, we can combine the x terms and the y terms separately:

2x – 4x + 3y + 2y.

Step 3: Simplify the x terms by combining the coefficients:

(2 – 4)x + 3y + 2y.

Step 4: Simplify the y terms by combining the coefficients:

-2x + 5y.

Therefore, the simplified expression for (2x + 3y) – (4x – 2y) is -2x + 5y.

[Aseem]

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First World War was caused by a complex interplay of factors, which can be summarized using the M-A-I-N acronym: Militarism, Alliances, Imperialism, and Nationalism.

1. Militarism: The major powers of Europe had been building up their military strength, leading to an arms race. This increased the likelihood of conflict, as nations were more willing to use their military power to achieve their goals.

2. Alliances: European nations formed complex alliances to protect themselves and maintain a balance of power. The Triple Entente consisted of France, Russia, and the United Kingdom, while the Triple Alliance included Germany, Austria-Hungary, and Italy. These alliances meant that a conflict between two nations could quickly escalate into a larger war involving multiple countries.

3. Imperialism: European powers were competing for colonies and territories around the world, leading to tensions and rivalries. This competition for resources and influence further increased the likelihood of conflict.

4. Nationalism: National pride and the desire for self-determination led to tensions between different ethnic groups within the multi-ethnic empires of Europe, such as Austria-Hungary and the Ottoman Empire. This contributed to the instability of the region.

The assassination of Archduke Franz Ferdinand of Austria in Sarajevo on June 28, 1914, served as the catalyst for the war. His assassination led to a series of diplomatic crises, known as the July Crisis, which ultimately resulted in the declaration of war between Austria-Hungary and Serbia. Due to the complex web of alliances, other nations were drawn into the conflict, leading to the outbreak of the First World War.

[Aseem]

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Let’s say we have a solid cylinder, like a can. We know its radius (r) is 5cm, which means the distance from the center to the edge of the top or bottom of the can is 5cm. The height (h) of the can is 10cm, which is how tall it is from top to bottom.

Now, we want to find the total surface area of the can. To do that, we need to add up the areas of all its sides. The total surface area is given by this formula: 2πrh + 2πr^2. Let’s break it down:

First, we calculate 2πrh. The π symbol (pi) is a special number that helps us with calculations involving circles. It’s about 3.14. So, we have 2 × 3.14 × 5 × 10, which equals 314 square centimeters.

Next, we calculate 2πr^2. We multiply π by the radius squared. Squaring a number means multiplying it by itself. So, we have 2 × 3.14 × 5^2. 5^2 means 5 × 5, which equals 25. So, 2 × 3.14 × 25 is 157 square centimeters.

Now, we add those two results together: 314 + 157, which equals 471 square centimeters.

So, the total surface area of the can is 471 square centimeters.

Or

=2πr(h+r)

=2π×5(10+5)

=π×10×15

=150πcm squre

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To solve the equation 2x + 5 = 17, we need to isolate the variable x on one side of the equation. Here are the steps to solve it:

Step 1: Start with the given equation: 2x + 5 = 17.

Step 2: Subtract 5 from both sides of the equation to isolate the term with x:

2x + 5 – 5 = 17 – 5

2x = 12.

Step 3: Divide both sides of the equation by 2 to solve for x:

2x/2 = 12/2

x = 6.

Therefore, the solution to the equation 2x + 5 = 17 is x = 6.

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1- There are four primary states of matter: solid, liquid, gas, and plasma.

– Solid: In this state, particles are closely packed together and have a fixed shape and volume. An example is ice. When a solid is heated, it can undergo a phase transition called melting, turning into a liquid.

– Liquid: Particles in a liquid are less tightly packed than in a solid, allowing them to flow and take the shape of their container. Water is an example. When a liquid is heated, it can undergo vaporization, turning into a gas. Conversely, when a liquid is cooled, it can freeze, turning back into a solid.

– Gas: In this state, particles are widely spaced and move freely, filling the entire volume of their container. An example is water vapor. When a gas is cooled, it can undergo condensation, turning into a liquid. If cooled further, it can become a solid through deposition.

– Plasma: This is an ionized state of matter, where electrons are separated from their parent atoms. It is found in stars, such as our sun. When a gas is heated to extremely high temperatures, it can become plasma. Conversely, when plasma is cooled, it can revert to a gaseous state through recombination.

2- The solar system is a collection of celestial bodies, including a star (our sun) and the objects that orbit it. There are eight planets in our solar system. Here they are, in order from the sun:

1. Mercury

2. Venus

3. Earth

4. Mars

5. Jupiter

6. Saturn

7. Uranus

8. Neptune

3- Electricity is a phenomenon that results from the presence and flow of electric charge. It involves the movement of electrons, which are negatively charged particles, through a conductive material.

There are two basic concepts in electricity: voltage and current. Voltage is the force that pushes electrons through a conductor, while current is the flow of electrons. Ohm’s law relates these two concepts with resistance, which is the opposition to the flow of electrons in a material.

Uses:-

Electricity is used in many aspects of everyday life. For example, it powers our homes, allowing us to use appliances like refrigerators, televisions, and computers. It also powers electric vehicles and is used in communication systems, such as telephones and the internet.