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A subway train is traveling at 82 km/h when it approaches a slower train 45 m ahead traveling in the same direction at 25 km/h. If the faster train begins decelerating at 2.1 {rm{ m/s}}^2 while the slower train continues at constant speed, how soon will they collide?
When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per hour. At that instant, how fast is the angle of elevation of the rocket increasing, as seen by an observer on the ground 5 kilometers from the laun..
The half-life of a certain radioactive material is 75 days. An initial amount of the material has a mass of 381 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 15 days. Rou..
A Dow Chemical bond carries a 9% coupon, pays interest semiannually, and has 10 years to maturity. What is the bond's yield to maturity if the bond is selling for $937.75?
Construct a truth table for given relation - Construct a truth table for each of the following
A clock company is concerned about errors in assembly of their custom made clocks. A random sample of 120 clocks from today's production yields nine clocks with assembly errors.
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the neare..
What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.5?
if the top 5% of coffee drinkers are considered heavy coffee drinkers , what is the minimum number of cups consumed by a heavy coffee drinker? (Hint: find the 95th percentile)
In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.
What is the difference between an expression and an equation? (minimum 100 words)
Mary works due north of home. her husband Juan works due east. They leave for work at the same time. By the time Mary is 3 miles from home, the distance between them is one mile more than Juan's distance from home. How far from home is Juan?
Diastolic Blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
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