Given the following recursive equation:. f(n) = f(n-1) + 12f(n-2) f(0) = 2, f(1) = 6 Prove, using induction, that f(n) = (12/7)-4" + (2/7)-(-3)" is a closed-form solution to the equation. N. B. This equation can be directly solved using the characteristic equation method. However, this homework is about practicing proof by induction so you must use proof by induction to get credit for this problem.

For a field trip to the zoo, 4 students rode in cars and the rest filled nine busess. how many students were in each bus if 472 students were on the trip

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?

Question 9 of 10 2 points suppose your sat score is 1770. you look up the average sat scores for students admitted to your preferred colleges and find the list of scores below. based on your sat score of 1770, which average score below represents the college that would be your best option? o a. 1790 o b. 2130 o c. 2210 od. 1350