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- 2. A certain company gives commission to each of their salesmen based from the type of appliance sold andthe price of the appliance. Below are the given rates that will be used in computing for the salesman’scommission:If type is Commission is2, 5, 6 15% of the price4, 8, 10 20% of the price3, 1, 9,7 25% of the priceInput salesman’s name, type of appliance sold, and price of the appliance. Compute and print thesalesman’s commission.PROBLEM 13. [TIME ALLOWED = 5 MINUTES] Give the contrapositive, converse, and inverse of the following proposition: “If the number is positive, then its square is positive.”Problem 2. Prove that ?? ≤ (5/3) ? , where n is a positive integer and ?? is the nth Fibonacci number.
- Required (i) The degree of each node and verify the Handshaking theorem4. Look up the Pythagorean theorem if you are not already familiar with it. Use the following formula to solve for c in the formula: c = √a2 + b2. Use the proper functions from the cmath header file. Be sure to output the result..Please all solve tha question
- Show complete solution please. I am at a loss of how to even begin this problem and would like to learn how to work through each step.3. The diagram below shows the main land routes for vehicular traffic between points A and G in a city. The figures in the arcs represent the cost of traveling between each pair of nodes. a) Manually apply Dijkstra's algorithm to find the cheapest route between A and G (visited nodes and total distance). b) Formulate a linear programming problem in extended form, to determine the shortest route to travel from A to G. Do not use subscripts, name 14 variables, for example XFE would be the variable that indicates that the arc from F to E is used. c) If there is a fixed cost for visiting each node, modify the formulation of the problem to include said fixed cost in the objective function, and the variables and restrictions that are required. NODE A B C D E F G FIXED COST 25 18 32 20 28 18 34(Oceanography) The pressure, P, exerted on an underwater object can be determined by this formula: P=gh is the density of water, which is 1.94slug/ft3 . g is the acceleration caused by Earth’s gravity, which is 32.2ft/sec2. h is the object’s depth in the water in feet. a. Determine the units of P by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for pressure listed in Table 1.1. b. Determine the pressure on a submarine operating at a depth of 2500 feet.
- Question 3 In 12–17, use the IVT to verify each function has a root in the given interval(s). Then use the Bisection Algorithm to narrow the location of that root to an interval of length less than or equal to 0.1. f(x) = x^2 − 2 on [0, 3] Full explain this question and text typing work only thanksProblem 4 Discrete Mathematics.Combinations and Permutations. (5,10,10): Soccer A local high school soccer team has 20 players. However, only 11 players play at any given time during a game. In how many ways can the coach choose 11 players To be more realistic, the 11 players playing a game normally consist of 4 midfielders, 3 defend ers, 3 attackers and 1 goalkeeper. Assume that there are 7 midfielders, 6 defenders, 5 attackers and 2 goalkeepers on the team 2. In how many ways can the coach choose a group of 4 midfielders, 3 defenders, 3 attackers and 1 goalkeeper? 3. Assume that one of the defenders can also play attacker. Now in how many ways can the coach choose a group of 4 midfielders, 3 defenders, 3 attackers and 1 goalkeeper?Please help me to solve problem 28