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Determine which of the congruences has a solution and why? (Give explanation).
(i) x^2 = -1 mod 5987(ii) x^2 = 6780 mod 6781(iii) x^2 + 14x - 35 = 0 mod 337(iv) x^2 - 64x + 943 = 0 mod 3011
Two boxes of brazils are mathematically similar, their lengths are 12cm and 24cm. The surface area and volume of the smaller box are 250cm2 and 240cm2 respectively.
For the metric space { N }, the set of all natural numbers, characterize whether or not it has the following properties: compact, totally bounded, has the Heine-Borel property, complete.
In trip calculation, it is observed that a Wal-Mart store driver successfully made a total of 104 trips in a given period of time. During field calculation, it is shown that the calculated number of trips is actually 128. What is the value of the ..
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
A buoy oscillates in simple harmonic motion y = A cos omega(t) The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds.
A building is 388 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
Test hypothesis for variance.
A retailer knows that n games can be sold in a month if the price is 30-.3x dollars per game. If he buys each game for $6, and if he wishes to make a profit of at least $450 per month on sales of this game, how many games must he sell each month?
Check to be sure that all deposits included in your record book are included and service charges are subtracted and make a list of outstanding checks, with the amounts for which they were written.
Description of Probability : Random Selection, Suppose there are two vendors and each provides 50% of the items. The lifetime (in days) of an item from the first vendor is Exp
The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
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