answer:To determine the number of workers needed, we can divide the whole video camera by the average product of one worker. Since one worker can produce 1/3 of a camera, the number of workers required would be the reciprocal of this fraction, which is 3. Therefore, it takes 3 workers to produce one complete video camera. Option C is the correct answer.

answer:To find the LCM of 72 and 29, we first need to find the prime factorization of each number: 72 = 2^3 * 3^2 29 = 29^1 The LCM is the product of the highest powers of each prime factor that appears in either number. In this case, the LCM is: LCM(72, 29) = 2^3 * 3^2 * 29^1 = 2088 Therefore, the LCM of 72 and 29 is 2088. The least common multiple (LCM) of 72 and 29 is 2088.

answer:Suppose, for the sake of contradiction, that (a_nb_n) is bounded. Then there exists a real number M > 0 such that |a_nb_n| leq M for all n in mathbb{N}. Since limlimits_{n rightarrow infty}frac{1}{a_n} = 0, there exists a natural number N such that left|frac{1}{a_n}right| < frac{1}{2M} for all n > N. Therefore, for all n > N, we have |b_n| = left|frac{a_nb_n}{a_n}right| leq frac{|a_nb_n|}{|a_n|} < frac{M}{frac{1}{2M}} = 2M. Since (b_n) is convergent with limit b > 0, there exists a natural number K such that |b_n - b| < frac{b}{2} for all n > K. Therefore, for all n > max{N, K}, we have |b_n| > b - frac{b}{2} = frac{b}{2}. Combining this with the previous inequality, we have frac{b}{2} < |b_n| < 2M for all n > max{N, K}. This contradicts the assumption that (a_nb_n) is bounded, so we must conclude that (a_nb_n) is unbounded.

answer:Roosevelt's decision was primarily driven by his frustration with isolationist sentiment in the government, as well as concerns about growing aggression from European countries.