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Suppose that a cyclist began a 270 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 4.5 hr and the car traveled 32.8 mph faster than the bicycle, find the average rate of each.
A child flies a kite at a height of 50ft, the wind carrying the kite horizontally away from the child at a rate of 26ft Over sec. How fast must the child let out the string when the kite is 130ft away from the child?
a rectangular field is to be enclosed by a fence and divided into 2 rectangular fields by a fence parallel to one sind of the field. if 1200m of fence is availabile find the dimensions of the field giving the greatest area.
Age of drivers in crash fatalities the number of crash fatalities per 100,000 vehicle miles of travel (based on 1994 data) is approximated by the model
where k and m are positive numbers. What condition on k and m leads to critical damping? what are the steady state and transient terms?
Hypothesis test for regression
Explain Description of Isomorphism, We are working on the proof of showing G (the group of rigid motions of a regular dodecahedron) is isomorphic to the alternating group A_5.
Water is pumped out of a holding tank at a rate of 5-5e-.09t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 798 liter of water when the pump is started, how much water does it hold one hour later?
In this case, assume a non-directional hypothesis is appropriate because there are insufficient theoretical and empirical bases to warrant a directional hypothesis.
Find three consecutive even integers such that the sum of twice the smallest and four times the largest is 304.
mr. robie owner of the black cat bakery owes 21600 on a 4.5 90 day note. on day 10 he makes a partial payment of 1600.
Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
problem adescribe clearly the geometric object determined by the condition.problem bshow that satisfies the
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