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question:A math teacher has a trick where they ask a student to write down two numbers and then generate a sequence of 10 numbers by repeatedly adding the previous two numbers together. The teacher claims they can find the sum of these numbers by multiplying the 7th number in the sequence by a certain value. What is this value?
answer:11
question:Which type of organization treats the world market as an integrated whole?
answer:Global companies operate their business in different countries at a global level. They make their business decisions based on a global business environment that is an integrated market as a whole. Any change in social, economical, or any other factors of a specific country affects business decisions or the performance of a global company. For example, if currency rate of a country increase it will impact the price of a company that sale their product in that country. Global companies
question:Transform the vector (x, y, z) = (8, frac{1}{3}, 10) into spherical coordinates.
answer:The spherical coordinates (r, theta, phi) for the given vector can be calculated as follows: 1. r = sqrt{x^2 + y^2 + z^2} = sqrt{8^2 + left(frac{1}{3}right)^2 + 10^2} = sqrt{64 + frac{1}{9} + 100} = sqrt{frac{1477}{9}} = frac{sqrt{1477}}{3} 2. theta is the angle between the positive z-axis and the projection of the vector onto the xy-plane. Thus, tan theta = frac{y}{x} = frac{1/3}{8} = frac{1}{24}. Therefore, theta = tan^{-1}left(frac{1}{24}right). 3. phi is the angle between the positive z-axis and the vector itself. We have, tan phi = frac{sqrt{x^2 + y^2}}{z} = frac{sqrt{64 + (1/3)^2}}{10} = frac{sqrt{577/9}}{10} = frac{sqrt{577}}{30}. Hence, phi = tan^{-1}left(frac{sqrt{577}}{30}right). So the spherical coordinates are left{frac{sqrt{1477}}{3}, tan^{-1}left(frac{sqrt{577}}{30}right), tan^{-1}left(frac{1}{24}right)right}.
question:In RNA, which nucleobase pairs with uracil? Options: A) Adenine; B) Cytosine; C) Thymine; D) Guanine
answer:RNA pairs uracil with adenine (A).