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The numbers 3^n -1 are never prime (if n 2>= 2), since they are always even. However, it sometimes happens that (3^n -1) /2 is prime. For example, (3^3 -1) /2 = 13 is prime. a) If n is even, show that (3^n - 1)/2 is always divisible by 4, so it can never be prime. b)Use a similar argument to show that if n is a multiple of 5 then (3^n - 1)/2 is never a prime.
If a student in the class is to be selected at random, what is the probablity that the student selected will be female or a mathematics major both?
Annual Salary: Suppose your salary was $28500 in 1992 and $32900 in 1994. pattern. a) Write a linear equation giving your salary S in terms of the year t.
The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What are the dimen..
What is a binomial factor? In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process.
determine the probability when standard deviation and mean is given by using normal distribution.the math sat scores
Prove that there exist real numbers which are not algebraic.
If you are 18 years old, deposit $3,660 each year into a Roth IRA for 52 years at 3.9% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
on 3 consecutive passes, a football team gains 6 yards, loses 15 yards and gain 23 yards. what number represents the total net yardage.
Where is the bounding box for this circle? (x =?, y =?, width =?) What color is to be used? (What is the predened Java color name?) Should the circle be lled?
the formula b29a is used in new england to estimate the minimum furnance output b in btus for a modern house with the
In a school of 300 students, 105 students are in the band, 175 students are on sports teams, and 45 participate in both activities. How many students do not participate in band or sports?
What is the most that it is willing to bribe an inspector to allow it to use another unit of input 1?
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