Your hamster has influenza caused by an H2N6 strain of the v…

Your hamster has influenza caused by an H2N6 strain of the virus. Assume that you breathe in this strain, after you have already come in contact with an H4N5 strain. Both viruses go into the cells of your upper respiratory tract. During the viral replication cycle inside of your epithelial cells, genetic information for hemagglutinin antigen and for neuraminidase antigen are recombined into the created, new viruses. Your cells end up producing a new variant—H2N5. Predict what might happen as a result of this set of events.

Give the first six terms of the following sequences. You can…

Give the first six terms of the following sequences. You can assume that the sequences start with an index of 1 a) A geometric sequence in which the first value is 5 and the common ratio is 8. [3 points] b) An arithmetic sequence in which the first value is 34 and the common difference is 5. [3 points] c)  Evaluate the summation [4 points]        ∑200k=0 (2 + 4k)

a) A locker combination is made up of five digits using only…

a) A locker combination is made up of five digits using only the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. The combination must start with an even digit, follow the pattern even-odd-even-odd-even, and all digits must be distinct. How many such combinations are possible? [5 points]     b) A smoothie shop offers 5 types of fruits, and customers can choose any number of fruits in their smoothie, with repetitions allowed. How many ways are there to make a smoothie using exactly 12 pieces of fruit?      [5 points]

Susan plans on studying four different subjects (Math, Scien…

Susan plans on studying four different subjects (Math, Science, French, and Social Studies) over the summer. The summer is 100 days long, and Susan will study one of the four subjects each day. A schedule consists of a plan for which subject she will study on each day. (10 points)   a) How many ways can Susan plan her schedule if there are no restrictions on the number of days she studies each of the four subjects? [5 points]   b) How many ways can Susan plan her schedule if she decides that the number of days she studies each subject will be the same? [5 points]