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Systems of equations can be solved by four methods: graphing, substitution, elimination, or with matrices. Which method do you prefer when solving a system of equations? Why? What circumstances would cause you to use a different method?
a triangular lot has dimensions 20.6 m, 31.4 m and 38.3 m. Find the angles at the corners of the property.
A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
Recurrence relations with complex characteristic roots
a woman 6ft tall walks away from a light 10 ft above the ground. if her shadow lengthens at the rate of 2ft per sec, how fast is she walking?
If one student is randomly selected, find the probability that the student is a male.
At noon, ship A is 20 miles due west of ship B. Ship A is sailing west at 15 mph and ship B is sailing north at 22 mph. How fast (in mph) is the distance between the ships changing at 5 PM?
Inquiries of the Poisson Portal interactive query system arrive at the central computer in a Poisson pattern at an average rate of 13 inquiries per minute.
Calculate the mean of the distribution of sample means and the population mean.
Use the semi-direct product construction to construct a nonabelian group of order pq, where p, q are prime numbers with q = 1 mod p
There are 5 pirates and a pot of 100 gold pieces. All the pirates have different ranks. The most senior pirate has to propose a split of the gold, such that at least half of the pirates agree.
An entrepreneur buys an apartment building with 40 units. The previous owner charged $240 per month for a single apartment and on average rented 32 apartments at that price.
rtain bacteria population is known to triples every 90 minutes. Suppose that there are initially 170 bacteria.
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