Write the product as a sum: 18 cos(35u) cos(12u)

6.   please help help!! Answer with step by step well explained:   On Cybertron, we manufacture Autobots, produce energy and extract metals. • To produce a unit of Autobots, we need 0.6 units of energy and 0.8 units of metals. • To produce a unit of energy, we need 0.1 unit of Autobots, and 0.1 unit of energy. • To produce a unit of metal, we need 0.1 unit of Autobots, 0.2 unit of energy, and 0.1 unit of metals. In a production cycle, we export 6,500 units of Autobots (sent to the Great War) but have to import 4,100 units of energy and 2,000 units of metals (both obtained from other planets). • a) Identify the variables. • b) Give the system of linear equations that connects these variables with the Leontief model. • c) Give the augmented matrix for this problem that will be used to calculate the production levels of the three sectors. • d) Calculate the level of production of the third sector only (here metal).

Juan Hernandez, a Cuban athlete who visits the Unite States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffle bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The three most popular items in Cuba are denim jeans, CD players, and CDs of U.S. rock groups. The weight and profit (in U.S. dollars) of each items are as follows. Items Weight (lb) Profit ($)1. Denim jeans 2 902. CD players 3 1503. Compact discs 2 30 Juan wants to determine the combination of items he should pack in his duffel bag that will maximize his profit. The problem is an example of a type of integer programming known as a "knapsack" problem. Formulate and solve this problem.

Need only a handwritten solution only (not a typed one).

We've studied two different basic types of research studies, Observational Studies and Experiments. They have similarities and differences in their methodologies, and in some cases it is not practical nor ethical to design a study one way or the other. And this affects the kinds of conclusions the research can ultimately reach. This discussion is designed for students to help each other build a complete understanding, and clearly separate these as two distinct concepts. Discuss the similarities and differences between these, as well as the research conclusions to which they can possibly lead.

Please help with correct answers in details: Step by step. Last time i submitted i got wrong answers The product development group at Landon Corporation has been working on a new computer software product that has the potential to capture a large market share. Through outside sources, Landon's management learned that a competitor is working to introduce a similar product. As a result, Landon's top management increased its pressure on the product development group. The group's leader turned to PERT/CPM as an aid to scheduling the activities remaining before the new product can be brought to the market.

Please help me with this. I desperately need the help

After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds. A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss when combining their special diet with running a mile a day over a period of two weeks. Interested in studying the dietitian's article further, you ask friends who have tried the dietitian's new program and you determine their weight loss to be 3.0 pounds in a two-week period, on average. As you set up a hypothesis test to determine if the dietitian's article is correct, what is the dietitian's claim?

The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 62000 cells. The FDA then tasks you with checking to see if this is accurate.  You collect a random sample of 45 specimens (1 cc each)  which results in a sample mean of 762004 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample. a. Why is the sampling distribution approximately normal?  b. What is the mean of the sampling distribution? c. What is the standard deviation of the sampling distribution? d. Assuming…

The River is a literary magazine published by the English Department at Tech. It has a 70-year history and enjoys an excellent reputation for providing a literary outlet for aspiring Appalachian writers in particular. However, its sales, mostly through independent bookstores and college libraries, have never been very large. Several years ago, the magazine’s advisory board decided to create a Web site and post the bi-monthly issues online for free access. Due to poor economic conditions and state budget cuts, Tech recently withdrew funding for the magazine, and in order to make up for this financial loss, the magazine’s staff has decided to try to sell advertising (especially to local and regional businesses) on the magazine’s Web site. In order to sell advertising, the magazine’s staff would like to be able to provide potential advertisers with a forecast of the number of “visits” the Web site might receive in future months. Following is the number of monthly visits the Web site has…