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question:How can the prologue of Romeo and Juliet be rephrased using modern-day language?
answer:In the scene where it's written, "Romeo, Romeo, wherefore art thou Romeo?", a contemporary interpretation could be: -"I have feelings for you, do you feel the same way?" -"Hey, are you even paying attention to me?" -"(Teenage slang) Are you my crush? Do we vibe?"
question:Muggsy weighs 5/7 times as much as his friend Bruno, who weighs 125 pounds. What is Muggsy's weight?
answer:To find Muggsy's weight, we can set up the following equation: [ text{Muggsy's weight} = frac{5}{7} times text{Bruno's weight} ] Substitute Bruno's weight with 125 pounds: [ text{Muggsy's weight} = frac{5}{7} times 125 ] [ text{Muggsy's weight} = frac{625}{7} ] [ text{Muggsy's weight} = 89frac{2}{7} text{ pounds} ] So, Muggsy weighs 89 and 2/7 pounds.
question:Explain the logic behind multiplying by (1 + sin (theta))/(1 + sin (theta)) in the proof of the Pythagorean identity for trigonometric functions?
answer:Multiplying by (1 + sin (theta))/(1 + sin (theta)) is equivalent to multiplying by 1, which does not change the value of the expression. This is done to create a numerator with the term (1 - sin^2 (theta)), which can be replaced with cos^2 (theta) using the Pythagorean identity. This substitution simplifies the expression and helps prove the identity.
question:What was the per-semester tuition cost at a business school in 2009 if it increased by 23.31% from 2009 to 2014 and was 7,841 in 2014?
answer:Let x be the per-semester tuition cost in 2009. We know that the tuition cost increased by 23.31% from 2009 to 2014, so we can write the equation: x + 0.2331x = 7841 Combining like terms, we get: 1.2331x = 7841 Dividing both sides by 1.2331, we find: x = 6358.77 Therefore, the per-semester tuition cost in 2009 was 6,358.77.