Use mathematical induction to solve for all positive integers n.
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A. 
B. 
C. 
D. 
E. 
Answer: C
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Provide the appropriate response.How many twin prime pairs can be found from the numbers less than 100?
A. 9 B. 10 C. 8 D. 7
Simplify. Assume that all variables represent positive real numbers.
A. 
B. 
C. 3
D. 3
Solve the problem.Big Round Cheese Company has on hand 45 pounds of Cheddar and 49 pounds of Brie each day. It prepares two Christmas packages-the "Holiday" box, which has 5 pounds of Cheddar and 2 pounds of Brie, and the "Noel" box, which contains 2 pounds of Cheddar and 7 pounds of Brie. Profit on each Holiday assortment is $6, profit on each Noel assortment is $8. The initial and final tableaux are as follows:?
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(initial)(final)Here, x = the number of Holiday boxes per
day and y = the number of Noel boxes per day.(a) Give the optimal production schedule and the resulting profit.(b) How much excess Cheddar and excess Brie remain each day if this plan is followed? What will be an ideal response?
Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits.a = 0.6211 cm, c = 0.7937 cm
A. A = 17.25 o, B = 72.75 o B. A = 35.77 o, B = 54.23 o C. A = 48.99 o, B = 41.01 o D. A = 56.49 o, B = 33.51 o E. A = 51.49 o, B = 38.51 o