Questions in Grade High-school

Questions in Grade High-school

[Done] What three simpler multiplications can you use to find [tex]8 \times 242[/tex]?

[Done] How is active transport different from simple diffusion and facilitated diffusion?

[Done] The most violent political change in Eastern Europe took place in 1989 with the revolutionary overthrow and execution of Nicolae Ceausescu of __________. A. Albania B. East Germany C. Poland D. Romania

[Done] Matt and Karen both attempted to solve the same math problem, but they arrived at different answers. Let's examine their work step-by-step to identify any errors and determine who, if either, is correct. Matt's Work: 1. \(6 - 4(3 - 5)^2 + 30 \div 5\) 2. \(6 - 4(-2)^2 + 30 \div 5\) 3. \(6 - 4(4) + 30 \div 5\) 4. \(6 - 16 + 30 \div 5\) 5. \(-10 + 30 \div 5\) 6. \(20 \div 5\) 7. Result: \(4\) Karen's Work: 1. \(6 - 4(3 - 5)^2 + 30 \div 5\) 2. \(6 - 4(-2)^2 + 30 \div 5\) 3. \(6 - 4(-4) + 30 \div 5\) 4. \(6 + 16 + 30 \div 5\) 5. \(6 + 16 + 6\) 6. \(22 + 6\) 7. Result: \(28\) Analysis: - Both Matt and Karen initially rewrite the expression correctly, substituting \( (3 - 5) \) with \(-2\). - In step 3, Matt calculates \((-2)^2\) as \(4\), which is correct. However, Karen incorrectly calculates \((-2)^2\) as \(-4\). - Matt proceeds with his calculation correctly by multiplying and following the order of operations, but Karen's incorrect calculation in step 3 leads to an incorrect result. Correct Solution: 1. Start with \(6 - 4(3 - 5)^2 + 30 \div 5\). 2. Substitute \(3 - 5\) with \(-2\): \(6 - 4(-2)^2 + 30 \div 5\). 3. Calculate \((-2)^2\) as \(4\): \(6 - 4(4) + 30 \div 5\). 4. Multiply: \(6 - 16 + 30 \div 5\). 5. Perform division: \(-10 + 6\). 6. Add to find the result: \(4\). Matt is correct, and the correct answer is \(4\). Karen made an error by calculating \((-2)^2\) incorrectly.

[Done] Unlike the Democratic Party, the Republican Party is most closely associated with traditional values, known as ________. A. Liberalism B. Conservatism C. Progressivism D. Extremism

[Done] As the Civil War progressed badly for the North, what are three things that plagued Lincoln?

[Done] What is the relationship between ATP and ADP?

[Done] At Marble Middle School, 35 percent of the students are 6th graders, 32 percent are 7th graders, and the rest are 8th graders. What percent are 8th graders?

[Done] What are four equivalent expressions for \(4(2 + 7p)\)?

[Done] How can [tex]f(x) = 6x^2 + 5x - 6[/tex] be factored to reveal the zeros of the function it defines?