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How do you solve the equation 3x – 7 = 11 and check your answer?

How do you solve the equation 3x – 7 = 11 and check your answer?To solve the equation 3x – 7 = 11, first add 7 to both sides to get 3x = 18. Then, divide both sides by 3 to find x = 6. To check the answer, substitute x back into the original equation: 3(6) – 7 = 11, which is true. Therefore, x = 6 is correct.

How do plate tectonics contribute to the formation of mountain ranges?

How do plate tectonics contribute to the formation of mountain ranges?Plate tectonics contribute to mountain formation through processes like continental collision, where tectonic plates converge, causing the Earth’s crust to buckle and fold, forming ranges like the Himalayas. Subduction zones, where one plate dives beneath another, can also create mountains, such as the Andes.

How do the concepts of ‘justice’ in Plato’s ‘The Republic’ compare with Rawls’ concept of ‘justice as fairness’?

How do the concepts of ‘justice’ in Plato’s ‘The Republic’ compare with Rawls’ concept of ‘justice as fairness’?Plato’s ‘The Republic’ views justice as a harmonious structure where each class performs its role. Rawls’ ‘justice as fairness’ emphasizes equality, proposing two principles: equal basic liberties and social/economic inequalities arranged to benefit the least advantaged and open to all under fair equality of opportunity.

What are the main causes and environmental impacts of climate change, and how can individuals and governments take steps to mitigate these effects?

What are the main causes and environmental impacts of climate change, and how can individuals and governments take steps to mitigate these effects?Climate change is primarily caused by the increase in greenhouse gases from human activities such as fossil fuel combustion, deforestation, and industrial processes. Environmental impacts include rising temperatures, sea-level rise, and extreme weather events. Individuals can reduce their carbon footprint by adopting sustainable practices, while governments can implement policies to reduce emissions, promote renewable energy, and enhance climate resilience.

What are the differences between an element, a compound, and a mixture?

What are the differences between an element, a compound, and a mixture?An element is a pure substance consisting of one type of atom. A compound is a substance formed when two or more elements chemically bond. A mixture contains two or more substances physically combined, retaining their individual properties.

What were the major causes and consequences of the Great Depression in the United States?

What were the major causes and consequences of the Great Depression in the United States?The Great Depression was primarily caused by the stock market crash of 1929, bank failures, reduced consumer spending, and flawed economic policies. Consequences included massive unemployment, widespread poverty, business failures, and significant changes in government policy, including the New Deal programs aimed at economic recovery and social reform.

How does the law of conservation of momentum apply in a perfectly elastic collision?

How does the law of conservation of momentum apply in a perfectly elastic collision?In a perfectly elastic collision, both momentum and kinetic energy are conserved. The total momentum of the system before the collision equals the total momentum after the collision. Mathematically, if two objects with masses m1 and m2 have initial velocities u1 and u2, and final velocities v1 and v2, the conservation of momentum is expressed as: m1*u1 + m2*u2 = m1*v1 + m2*v2.

How can you solve a quadratic equation using the quadratic formula?

How can you solve a quadratic equation using the quadratic formula?To solve a quadratic equation ax^2 + bx + c = 0 using the quadratic formula, use x = (-b ± √(b²-4ac)) / (2a). First, identify coefficients a, b, and c. Then, substitute these values into the formula and calculate the discriminant (b²-4ac). Finally, solve for x using the plus and minus variations.

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