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Q: (23)
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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- There are currently 3 machines in a factory: P1, P2, and P3. Assume that this rectilinear shaped factory is located on the first quadrant of the coordinate system and one corner is at the origin (point (0,0)). The coordinates of the existing machines are as follows:P1=(10,15), P2=(20,25) ve P3=(40,5)To meet the increasing demand and respond to changing customer demands, the company decided to grow and acquired two new machines: N1 and N2. When these two machines are put into operation, they will exchange materials with each other and with the other three machines. 400 units of material will be transported between the2two new machines in a week. Similarly, 400 units will be transported between N1 and P1, 0 between N1 and P2, and 500 units between N1 and P3. The transportation between N2 and P1, P2, and P3 are 200, 100, and 0, respectively.Materials are transported with an overhead crane. This crane can move linearly in x and y coordinates and can move simultaneously in both directions.…4) Find line of intersection for 2 planes. 2x-3y+z=5 -x+2y+3z=2Quad WXYZ has vertices W(-4,-3) , X(0,-1) , Y(6,-2), Z(2,-4). Using properties of diagonals WY and XZ, prove that WXYZ is a parallelogram, but not a rectangle.
- Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be a cable connecting Centerville to both towns. The idea is to save on the cost of the cable by arranging the cable in a Y-shaped configuration.Centerville is located at (10,0)(10,0) in the sexy-plane, Springfield is at (0,7)(0,7), and Shelbyville is at (0,−7)(0,-7). The cable runs from Centerville to some point (x,0)(x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0)(x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer. To solve this problem we need to minimize the following function of xx:f(x)= We find that f(x)f(x) has a critical number at x=To verify that f(x)f(x) has a minimum at this critical number we compute the second derivative f''(x)f′′(x) and find that its value at the…Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation.Centerville is located at (7,0)(7,0) in the xyxy-plane, Springfield is at (0,2)(0,2), and Shelbyville is at (0,−2)(0,-2). The cable runs from Centerville to some point (x,0)(x,0) on the xx-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0)(x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer. To solve this problem we need to minimize the following function of xx:f(x)=f(x)= We find that f(x)f(x) has a critical number at x=x= To verify that f(x)f(x) has a minimum at this critical number we compute the second derivative f''(x)f′′(x) and find that its value at the…A quadrilateral has coordinates R(-5,2) , S(-1,3) , T(-2,-1) and U(-6,-2). Verify algebraically, that the midsegments of the quadrilateral form a rectangle.
- An xyz-coordinate system is placed with its origin at the center of the earth, so that the equator is in the xy-plane, the North Pole has coordinates (0, 0, 3960), and the xz-plane contains the prime meridian, which is the great semicircle that runs through Greenwich, England on its way from the North Pole to the South Pole. Recall that the y-axis is oriented so that it points east, into the Indian Ocean. Find the coordinates (x,y,z) of Exeter NH, whose latitude and longitude are 43 degrees north and 71 degrees west.Quadrilateral RYZP is a RHOMBUS. If RK = 5, RY = 13 and m∠YRZ = 67⁰, find the m∠RZP.the coordinates of quadrilateral jklm plotted on a coordinate plane are j(-2,3), k(3,7), l (6,5), and m(1,1) the perimeter of the quad is blank units
- . Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation. Centerville is located at (11,0)(11,0) in the ??xy-plane, Springfield is at (0,2)(0,2), and Shelbyville is at (0,−2)(0,−2). The cable runs from Centerville to some point (?,0)(x,0) on the ?x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (?,0)(x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer.Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation.Centerville is located at (7,0) in the xy-plane, Springfield is at (0,5), and Shelbyville is at (0,−5). The cable runs from Centerville to some point (x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer. To solve this problem we need to minimize the following function of xx:f(x)= ?We find that f(x) has a critical number at x=?To verify that f(x) has a minimum at this critical number we compute the second derivative f''(x) and find that its value at the critical number is ? , a positive number.Thus the…Due to lockdown made by COVID 19 pandemic, a pizza company decided to limit its delivery to up to 7-kilometer radius, using a coordinate plane the company is located at point (1,2). Which of the following orders will they accept if customer Y is living at point (-7,4) and customer Z is living at point (4,2) a. customer Y b. customer Z c. both customers Y and Z d. neither customers Y and Z