Discrete Math help

Convert the given number to decimal form by expanding in powers and by using the calculator shortcut. Use the prime factors method to find the greatest common factor of 315 and 3675. 6BFgixteen y T - = The GCF of 315 and 3675is | |. Expand 6BF gjxgen in powers. Use the decimal values of any digits unique to the hexadecimal system. 88 sateen= () + (D + (D (Use descending order. Do not simplify.) Use the method of dividing by prime facters to find the greatest common factor of the following numbers. Write the calculator shortcut expression for 6BF sixieen. Use the decimal values of any digits unique to the 615 and 570 hexadecimal system. 6BFgixteen =| | (Do not simplify.) The GCF of 615 and 570 is Convert 6BFgixieen to decimal form. 6BFiqeen = Identify the statement as true o false. (Simplify your answer.) . . Ewven perfect numbers are more plentiful than Mersenne primes. Identify the statement as true or false. e Even perfect numbers are more plentiful than Mersenne primes. Choose the correct answer below. () A. The statement is false because for n=1, 2, 3, ..., the Mersenne numbers are those generated by the formula Choose the correct answer below. Mp =2" = 1. If n is composite, then My, is also composite. If n is prime, then M,, may be either prime or composite. And if 2" - 1 is prime, then 2"~ 1 (2" - 1) is perfect. (0 A. The statement is false because forn=1, 2, 3, ..., the Mersenne numbers are those generated by the formula My =2" - 1. If n is composite, then M}, is also composite. If n is prime, then M), is also composite. And if (O B. The statement is false because for n=1, 2, 3, ..., the Mersenne numbers are those generated by the formula M, =2" - 1. If nis composite, then My, is also composite. If n is prime, then M, is also composite. And if 2" - 1 is prime, then 2"~ 1 (2" - 1) is perfect. 2" - 1 is prime, then 2"~ 1 (2" - 1) is perfect. () B. The statement is true because for n=1, 2, 3, ..., the Mersenne numbers are those generated by the formula My, =2" - 1. If n is composite, then My, is also composite. If n is prime, then M), is also composite. And if () . The statement is true because for n=1, 2, 3, ..., the Mersenne numbers are those generated by the formula 2" 1 is prime, then 2"~ (2" - 1) is perfect. Mp =2" - 1. If n is composite, then My, is also composite. If n is prime, then M,, may be either prime or 3 . T -1 o () C. The statement is false because for n =1, 2, 3, ..., the Mersenne numbers are those generated by the formula composite. And if 2" = 1 is prime, then 2" {2" = 1) is perfect. =nh _ i | 0 " 5 . i . oy 2 Mp =27 - 1. Ifn is composite, then M, is also composite. If nis prime, then M, may be either prime or () D. The statement is true because for n=1, 2, 3, ..., the Mersenne numbers are those generated by the formula composite. And if 2" - 1 is prime, then g (2\" - 1] is perfect. My = 2"-1.lfnis composite, then M, is also composite. If n is prime, then My, is also composite. And if () D. The statement is true because forn=1, 2, 3, ..., the Mersenne numbers are those generated by the formula 2" - 1 is prime, then 2"~ 1 (2" = 1) is perfect. Mp =2" = 1. I n is composite, then My, is alsc composite. If n is prime, then M,, may be either prime or composite. And if 2" - 1 is prime, then 2"~ " (2" - 1) is perfect In the summer of 2010, the largest known prime number was 2*3112809 _1_Note that when 2" -1 is prime, 2n-1 (2\" - 1) is perfect. Use this formula to write an expression for the perfect number generated by the prime Decide whether each statement is true or false. number 2&3,1 12,609 _ 1. Two composite numbers may be relatively prime. = Which of the following is the perfect number generated by the prime number 243.112609 _ 49 Choose the correct answer below. ( 43,112,609 (543,112,609 _ ) A. False e 12 (2 1) O B. True Q 243'112,503 (243'112'60'3 3 1) Determine, in the following base, the least and greatest four-digit numbers and their decimal equivalents. four Identify the number as rational or irrational. == YAz In base four, the least four-digit number is er = rl'm_ ) In base four, the greatest four-digit number is [:i,our 'l___lwn' Choose the correct choice below. irrational Identify the number as rational or irrational. " rational 0.456445644456... Is 0.456445644456... rational or irrational? ) Rational Irrational