1. -(p→ q) → (p a~q) 3. (-p v q) ^ [q→(~r^~p)
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Determine the truth value of the following propositions.
Please kindly explain.
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- A machine to manufacture fasteners has a setup cost of $1,500 and a unit cost of $0.003 for each fastener manufactured. A newer machine has a setup cost of $1,750 but a unit cost of only $0.0025 for each fastener manufactured. Find the break point. (Round your answer to the nearest whole unit.)can u help me with pullbacks and integration plzOne of the actions that are proposed to favor the increase in the percentage of renewable energies used in the economy is to promote the production of vegetables that can be used in energy generation, taking advantage of the surplus of organic matter generated during the process of photosynthesis, but respecting, in the first place, agri-food needs. The figure shows the dimensions of an ABC triangular-shaped field that is used to plant different types of vegetables. Through a DE segment parallel to the BC side, you want to divide the area into two parts with the same area, so that one is dedicated to sowing products to manufacture energy and another to sow products for human consumption. Calculate the AD distance and the hectares that correspond to each part. I have also attached the formulas that you can use
- I don't really understand this inesA company needs to rent space for its office employees both in the suburbs and downtown. Space is available in suburbia at a rate of $120 per square metre (per annum), while downtown space rents for $250 per square metre (per annum). In suburbia, only 30% of the space is “executive” quality, while the rest is ordinary quality. At the downtown location, 70% of the space is executive quality, while the rest is ordinary quality. The company needs a total of at least 1000 square metres of space, of which at least 510 square metres must be executive quality. No more than three quarters of the entire space is to be at either location. They wish to know how much space they should rent in each place so as to minimize the total expenditure on rent. a) Show the decision variables b) Show the objective function c) Show the constraints in standard form (i.e. suitable for using Excel’s Solver) d) Solve the linear programming problem by graphingFind the work done in emptying the tank in example 4. If the tank water is pumped to a level 1.00 meters above the top of the tank and the water is initially 4.00 meters deep.