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question:Which value(s) of (x) satisfy the inequality (-7x + 6 leq -8)?
answer:To find the solution, let's solve the inequality step by step: 1. Add 8 to both sides of the inequality: (-7x + 6 + 8 leq -8 + 8) (-7x + 14 leq 0) 2. Now, subtract 14 from both sides: (-7x + 14 - 14 leq 0 - 14) (-7x leq -14) 3. Divide both sides by -7 (don't forget to flip the inequality sign when dividing by a negative number): (frac{-7x}{-7} geq frac{-14}{-7}) (x geq 2) Therefore, the solution is (x geq 2), which means (x) can be any number greater than or equal to 2. In interval notation, this is expressed as ([2, infty)).
question:Simplify the expression (24 - 15) - frac{1}{23}.
answer:The expression simplifies as follows: First, perform the subtraction inside the parentheses: 24 - 15 = 9 Then subtract frac{1}{23} from 9: 9 - frac{1}{23} = frac{207}{23} - frac{1}{23} Now, subtract the fractions by subtracting their numerators: frac{207 - 1}{23} = frac{206}{23} So, the simplified form is frac{206}{23}.
question:Tan Chin Company acquired a building on January 2, 2012, for 11,300,000. The allocation of the purchase price is as follows: 11,000,000 for the building with a 40-year depreciable life, 150,000 for 15-year property, and 150,000 for 5-year property. Calculate the depreciation expense for the year 2012 using the component depreciation method.
answer:Component wise depreciation calculation is as follows: Building: Amount: 11,000,000 Life: 40 years Depreciation per year: 275,000 (11,000,000 / 40) 15-year property: Amount: 150,000 Life: 15 years Depreciation per year: 10,000 (150,000 / 15) 5-year property: Amount: 150,000 Life: 5 years Depreciation per year: 30,000 (150,000 / 5) Total depreciation expense for 2012: 275,000 (Building) + 10,000 (15-year property) + 30,000 (5-year property) = 315,000 Thus, the depreciation expense for 2012 using component depreciation is 315,000.
question:Who were some prominent Southern civil rights leaders during the American Civil Rights Movement?
answer:Prominent Southern civil rights leaders in the American Civil Rights Movement included: 1. Martin Luther King Jr. - A key figure known for his nonviolent activism and leadership in the Montgomery Bus Boycott and the March on Washington. 2. John Lewis - An activist who played a crucial role in the Freedom Rides and the Selma to Montgomery marches, later serving as a long-time U.S. Congressman. 3. Rosa Parks - Known as the "Mother of the Civil Rights Movement," Parks' refusal to give up her bus seat sparked the Montgomery Bus Boycott. 4. Fannie Lou Hammer - An influential activist and organizer, particularly in the Mississippi Freedom Democratic Party, which sought to challenge racial discrimination in the Democratic Party. 5. Dorothy Height - A civil rights and women's rights activist, she was the president of the National Council of Negro Women and worked closely with Martin Luther King Jr. These leaders, along with thousands of others, were instrumental in fighting for equal rights and social justice in the United States.