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The base of an aquarium with volume V = 390 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
State Euler's Circuit Theorem. Explain why this theorem should be true and explain Cantor's Diagonalization Argument. Give examples and explain what this argument was used for.
A plane flying with a constant speed of 390 km/h passes over a ground radar station at an altitude of 2 km and climbs at an angle of 30 degrees. At what rate is the distance from the plane to the radar station increasing a minute later? (Round you..
Find the range for the measure of the third side of a triangle with the given two sides 31 and 4.
A small company has 10 employees that receive a monthly paycheck and you calculate the mean and standard deviation for the paychecks in December. For the holiday, the president decides to give everyone a $500 raise. How would the mean and standard..
Find the equation of the perpendicular bisector of the line drawn between two points and determine the center and radius of the circle equation.
Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100 (pi) ft?
Find new estimates using ten rectangles in each case.
Set up an equation and solve the following problem. The length of a rectangular floor is 8 meter less than twice its width. If a diagonal of the rectangle is20 meters, find the length and width of the floor.
Place the following set of numbers in ascending order. Determine the maximum and minimum values of the following set of numbers. 36/7,-1,-2/3,-5,26/9
A window frame that seems rectangular has height 408 cm, length 306 cm, and one diagonal with length 525 cm. Is the window frame really rectangular? Explain please.
What is the potential energy for the child just as she is released, compared with the potential energy at the bottom of the swing? How fast will she be moving at the bottom of the swing?
151 g of water at 79.0°C are mixed with 75.2 g of water at 23.0°C. If no heat is lost to the surroundings, what is the final temperature of the water? The specific heat of water is 4.184 J/g·°C.
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