QUIRINO STATE UNIVERSITY CABARROGUIS CAMPUS Cabarroguis, 3400Quirino CIVIL ENGINEERING DEPARTMENT "Let us build a Community of Engineers Task to Provide Efficient Engineering Solutions for the Society" 2012 13. Find the distance from the point (2, 3) to the line 3x + 4y + 9 = 0. А. 5 В. 5.4 С. 5.8 D. 6.2 14. Find the distance from the point (5, -3) to the line 7x - 4y 28 = 0. D. 2.54 A. 2.62 В. 2.36 С. 2.48 15. How far is the line 3x– 4y + 15 = 0 from the origin? В. 2 %3D А. 1 С. 3 D. 4
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- The City Council proposed to utilize a government-owned land with an area of 21,600 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following: the dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. 2. the number of mango trees that leads to a maximum yield given that if 70 trees are planted, the average yield per tree will be 300 kilos while the average yield will decrease by 3 kilos per tree for each additional tree on the same area due to overcrowding.A power plant sits next to a river where the riveris 800 ft wide. To lay a new cable from the plant to a location inthe city 2 mi downstream on the opposite side costs $180 per footacross the river and $100 per foot along the land. Generate a table of values to determine whether the least expensive location for point Q is less than 2000 ft or greater than 2000 ft from point P.The City Council proposed to utilize a government-owned land with an area of 9,600 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following: the dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. 2. the number of mango trees that leads to a maximum yield given that if 70 trees are planted, the average yield per tree will be 300 kilos while the average yield will decrease by 3 kilos per tree for each additional tree on the same area due to overcrowding. As an Engineer, cite other instances aside from the situations given above where optimization (one minimization) can be applied.
- The City Council proposed to utilize a government-owned land with an area of 21,600 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following: the dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway.I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $12 per foot, and the fencing for the east and west sides costs $6 per foot. If I have a budget of $120 for the project, what are the dimensions of the garden with the largest area I can enclose? --- smaller value x ----- larger value ? ft2The City Council proposed to utilize government-owned land with an area of 9,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following: the dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. Illustration and Representation of Variables Detailed Solution Conclusion As an Engineer, cite other instances aside from the situations given above where optimization (one maximization and one minimization) can be applied. the rate at which the total average number of COVID cases is increasing at x=10 tents and dx/dt=1 tent per day, given that if 20 tents are built, the average number of COVID cases per tent will be 5 cases while the average number of cases will increase by 2 per tent for each additional…
- The City Council proposed to utilize government-owned land with an area of 15,000 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following: 1. the dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. A) Illustration and Representation of Variables B) Detailed Solution C) Conclusion D) As an Engineer, cite other instances aside from the situations given above where optimization (one maximization and one minimization) can be applied.The City Council proposed to utilize government-owned land with an area of 12,150 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following: the dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. Need: 1. Illustration and Representation of Values 2. Detailed SolutionThe City Council proposed to utilize government-owned land with an area of 21,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following: the dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. As an Engineer, cite other instances aside from the situations given above where optimization (one maximization and one minimization) can be applied. Kindly answer the 2nd question, thank you!
- The City Council proposed to utilize government-owned land with an area of 9,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following: the dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. Please include the illustration and representation of variables, the detailed solution, and the conclusion.The City Council proposed to utilize a government-owned land with an area of 21,600square meters. One-third of it will be used for a picnic area while the rest of the landwill be planted by mango trees. As the city engineer, you were tasked to determine thefollowing:1. the dimensions of the picnic area with minimum cost of fencing given that area is tobe rectangular and to be fenced off on three sides not adjacent to the highway.2. the number of mango trees that leads to a maximum yield given that if 50 trees areplanted, the average yield per tree will be 400 kilos while the average yield willdecrease by 2 kilos per tree for each additional tree on the same area due toovercrowding.Make sure to define the variables that you will use in the solution and don't forget to label or put units. Answer must be in EXACT FORM ONLY. Answers in numerical or decimal form will be considered wrong. A rectangle can be drawn in the first quadrant bounded by the curve y= 8-x^3, the x-axis, and the y-axis. Determine the dimensions (length and width) of the largest rectangle that can be drawn.