answer:The triangle's interior angles are as follows: 1. The angle opposite the side of length 5 is 174 {}^{circ}. 2. The angle given is 3 {}^{circ}. 3. The third angle, by the Angle Sum Property of triangles, is 180 {}^{circ} - (174 {}^{circ} + 3 {}^{circ}) = 3 {}^{circ}. The coordinates of the vertices are: 1. Vertex A, the origin: {0,0} 2. Vertex B, the endpoint of the side of length 5: {5,0} 3. Vertex C, opposite the 174 {}^{circ} angle: can be found using the sine and cosine functions. Let BC = 5 sin (3 {}^{circ}) and AC = 5 cos (3 {}^{circ}). Therefore, C is at the coordinates {-5 cos (3 {}^{circ}) cot (174 {}^{circ}), 5 sin (3 {}^{circ})}, which simplifies to {-5 cos (3 {}^{circ}) tan (6 {}^{circ}), 5 sin (3 {}^{circ})}. Thus, the vertices are {0,0}, {5,0}, and {-5 cos (3 {}^{circ}) tan (6 {}^{circ}), 5 sin (3 {}^{circ})}, and the interior angles are 3 {}^{circ}, 3 {}^{circ}, and 174 {}^{circ}.

answer:[A) Textbook publishers often set higher prices for United States editions because they perceive the American market to have a higher willingness to pay, based on the country's overall economic prosperity. This pricing strategy allows them to maximize profits from a segment of the market that can afford to pay more. B) The Internet has significantly disrupted the traditional textbook market, challenging the implementation of this pricing policy. Online platforms facilitate the global exchange of goods, making it easier for students to access and purchase cheaper international editions. As a result, publishers face increased competition and pressure to offer more affordable alternatives, such as digital versions of textbooks. These online resources often come at a lower cost and can be updated more frequently, impacting the effectiveness of the two-tier pricing model.]

answer:The product rule states that if you have two functions, f(x) and g(x), then the derivative of their product, f(x)g(x), is given by: f'(x)g(x) + f(x)g'(x) In this case, we have: f(x) = e^{3 x+1} g(x) = log (x+7) So, using the product rule, we get: f'(x)g(x) + f(x)g'(x) = (e^{3 x+1})' log (x+7) + e^{3 x+1} (log (x+7))' We can then simplify each term: (e^{3 x+1})' = e^{3 x+1} cdot 3 (log (x+7))' = frac{1}{x+7} Substituting these back into the equation, we get: f'(x)g(x) + f(x)g'(x) = e^{3 x+1} cdot frac{1}{x+7} cdot 3 + e^{3 x+1} cdot frac{1}{x+7} Combining like terms, we get: f'(x)g(x) + f(x)g'(x) = frac{3e^{3 x+1}}{x+7} + frac{e^{3 x+1}}{x+7} Factoring out an e^{3 x+1} from each term, we get: f'(x)g(x) + f(x)g'(x) = frac{e^{3 x+1}}{x+7} (3 + 1) Simplifying further, we get: f'(x)g(x) + f(x)g'(x) = frac{4e^{3 x+1}}{x+7} Therefore, the derivative of f(x) = e^{3 x+1} log (x+7) is f'(x) = frac{4e^{3 x+1}}{x+7}. The answer is f'(x) = (e^{3 x+1})' log (x+7) + e^{3 x+1} (log (x+7))' = e^{3 x+1} cdot frac{1}{x+7} cdot 3 + e^{3 x+1} cdot frac{1}{x+7} = frac{3e^{3 x+1}}{x+7} + frac{e^{3 x+1}}{x+7} = frac{4e^{3 x+1}}{x+7}

answer:The passage suggests that people who interrupt others may not always realize how the other person will view the interruption. Explanation: The passage states that "people who interrupt others may do it in good faith, to let the speaker know that they already know about whatever they're going to say or simply because they believe that what they are about to say is of more importance." This suggests that people who interrupt others may not be aware of how their interruption may be perceived by the other person.