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The angle of elevation to the top of a building changes from 20 degrees to 40 degrees as an observer advances 75 feet toward the building. Find the height of the building to the nearest foot.
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
Prove that there cannot be a nilpotent group N generated by two elements with the property that every nilpotent group generated by two elements is a homomorphic image of N
A Pyramid is 785 ft high (due to erosion, its current height is slightly less) and has a square base of side 3140 ft. Find the work needed to build the pyramid if the density of the stone is estimated at 180 lb/ft^3.
A chemist needs 190 milliliters of a 64% solution but has only 52% and 71% solutions available. How many milliliters of each should be mixed to obtain the desired solution?
Do the data indicate a significant difference in average off-schedule lime? Use a 5 percent level of significance.
Given f(x)=x^3 on [0,1] and the partition P={0,1/8,1/3,2/3,1}, find four different Riemann sums R(f,P). Show that Chi_Q is discontinuous at every point where Chi_Q is the characteristic function for Q - Rational numbers.
the volume is 420.the length is 14 the height is 6. what is the unknown measure?
Find an equation for the trend line using the method of least squares.
suppose that cars arrive at a traffic light according to a Poisson process with a rate of one car per minute starting from t=0 minutes.
How many different ways can the letters of the word "BRKIZOVER" be arranged in a row if it is required that the letters IZO remain next to each other in order?
A city sells plots in its cemetery for $1000 plus an amount calculated to provide for the costs of maintaining the grounds in perpetuity.
a bowl can hold 486 square root of soup what is the diameter of the bowl?
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