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The ground floor of the John Hancock Building has a perimeter of 860 ft. The length is 100 ft more than the width. Find the length and the width of the ground floor of the building.
simple pendulum is related to the length L (in feet) of the pendulum by the formula 87t^2=(3.14)^2L. If a child is on a swing with a 10 foot chain, then how long does it take to complete on cycle on the swing?
Consider the intersection of level surfaces of F = x^3 + y^3 - u^3 - v^3 and G = xu + yv.
It takes a force of 21,714 lb to compress a coil spring assembly on a New York City Transit Authority subway car from its free height of 8in. to its fully compressed height of in.
In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.
The truth table and previously proven logical equivalencies
Billy likes to go cycling.His bike has wheels of diameter 75cm. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 150 revolutions.How far has Billy cycled?
Let B(r,t) compute the balance (in dollars) of account after t years with an r% interest rate. What are the units of dB/dr? (dB/dr is in partials notation)
If $40 is charged for a set up fee, and the monthly hanger rental is $800; write an equation for the profit, P, in terms of x.
What is the mathematical model for the total profit earned by producing and selling x units ? What is the optimal solution for this production model?
an actor invests some money at 9%, and $27000 more than three times the amount at 10%. The total annual interest earned from the investment is $35850. How much did he invest at each amount?
I get the critical points are(0,0) and(-2^1/5, 4^1/5). Then I get det(0,0)=2 and det(-2^1/5, 4^1/5)=-10, so index of the system is -8 and the index of periodic orbit is 1, so there's no periodic orbit.
Of the first 90 customers, 44 selected chicken, 23 selected roast beef, 13 select steak, and 10 selected fish. Should the manager revise his estimates? Use = 0.01.
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