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The half-life of radioactive radium is 1620 years. Suppose that a sample of this substance has 300 mg. Determine the time T it will take for the sample to decay to a mass of 200 mg.
A rectangular gate ABCD of mass 120kg where AB=1m and AD=3m is supported at A & B by pins where B is vertically above A. The reaction force at B is always horizontal.
An item costs $1300, has a scrap value of $100, and a useful life of six years. The linear Equation relating book value and number of years is:
Please give a short answer as to why the following is true: Let p(x) = Ax^ 2+ Bx + C. For any interval [a,b] the value of c guaranteed by the Mean Value theorem is the midpoint of the interval.
a farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length and width should be used?
A rancher has 60,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
Find a piecewise-defined function P that specifies the price of the item after t years have passed. Let P(t) = the price of the item in dollars after t years have passed.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
an audio speaker that weighs 50 lbs hangs from the ceiling of a restaurant from two cables. To two decimal places, what is the tension in the two cables?
a ski-lift that runs to the top of a hill has a rise to run ration of 1/2. the horizontal distance from the bottom of the lift to the center of the mountain is 5000ft. how high is the hill?
The equation C=mx+b can be used to model the monthly cost, C, of a cell phone plan where b is the flat monthly cost, m represents the cost in dollars per minute and x is the number of minutes used in the month.
The number of days off taken by 30 police detectives in a given year is provided below. Develop appropriate intervals and create a histogram for the data.
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
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