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A rectangular piece of metal is 10 cm longer than it is wide. Squares with sides 2 cm long are cut from the four corners of the piece of metal, and the flaps are folded upward to form an open box. If the volume of the box is 832 cm3, what were the dimensions of the original piece of metal? (V = LWH)
A ski jump is design to follow the path given by the equations: x=3.5t^2 and y=20.0+0.120t^4 - 3.00 sqrt(t^4+1) (0 less than or equal to (t) less than or equal to 4.00 s) ( x and y in m, t in s). Find the velocity and acceleration of a skier when ..
An apache helicopter of enemy is flying along the path given by y= x2 +7. Find the nearest distance from where a soldier placed at (3,7) can shoot down the helicopter.
The surface area of the right squre pyramid is given by S=b square rt. b^2 + 4h^2. If the pyramid has height of 10 feet and surface area of 100 square feet, what is the length of a side b of its base?
The distance, D, in miles, that you can drive on $1 worth of gas as a function of the cost, g, in dollars, of a gallon of gas can be modeled by the power function: D(g) = 22.02g^-1.02
calculate the outward flux of F across the boundary dOmega
Your insurance stipulates at least one system must be working 9989 times out of 10000. In order to achieve that level with two independent systems, what is the maximum probability of failure allowed for a single system?
Construction- To construct two angles the same measurement Please construct the following. Please make it large enough. Draw an acute angle. Label the vertex P.
A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate.
MTH-163 Precalculus I: Expand or contract the expression using the properties of logarithms. Find the exact value without using a calculator. If this is not possible, state why not.
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
A constant force F= -3i + 8j +10k moves an object along a straight line from point (-6, -5, -4) to point (-3, 1, -6). Find the work done if the distance is measured in meters and the magnitude of the force is measured in Newtons.
Evaluate the length and width of the given rectangle using the area and the relation of length and width.
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