1) 1.3232... is a rational number
Discrete Mathematics 1 Is 1.3232 a rational number Justify your answer. 2. Why is 4,050 a...
Discrete mathematics Determine if the following statement is true or false. Justify your answer If a = b (mod n) then a^3 = b^3 (mod n)
Discrete Mathematics Question 1: (a) Use the method of generalizing from the generic particular in a direct proof to show that the sum of any two odd integers is even. See the example on page 152 (4th edition, Discrete Mathematics with Applications) for how to lay this proof out. (b) Determine whether 0.151515... (repeating forever) is a rational number. Give reasoning. (c) Use proof by contradiction to show that for all integers n, 3n + 2 is not divisible by...
In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number. Define a class that can represent for a rational number. Use the class in a C++ program that can perform all of the following operations with any two valid rational numbers entered at the keyboard...
Discrete Mathematics. (a) Use the method of generalizing from the generic particular in a direct proof to show that the sum of any two odd integers is even. See the example on page 165 of the 5th edition of Discrete Mathematics with Applications, Metric Version for how to lay this proof out. (b) Determine whether 0.151515... (repeating forever) is a rational number. Give reasoning. (c) Use proof by contradiction to show that for all integers n, 3n + 2 is...
Discrete Math 2. (a). Rewrite the following statement in equivalent if then form. Either 2021 is a prime or 2021 is a composite. (b). Rewrite the following universal statement in quantified if then form. For very integer n, 11 n is a necessary condition for 1001|n.
HELPPPP!!!! sepcific explanation is best !!! this is discrete mathematics content. 1. Prove, or disprove by finding a counterexample: If a|bc where a,b and c are positive integers then a b or a c. 2. Let n be an odd integer. Show that there is an integer k such that n2 = 8k +1.
For Exercises 1-15, prove or disprove the given statement. 1. The product of any three consecutive integers is even. 2. The sum of any three consecutive integers is even. 3. The product of an integer and its square is even. 4. The sum of an integer and its cube is even. 5. Any positive integer can be written as the sum of the squares of two integers. 6. For a positive integer 7. For every prime number n, n +...
complete steps a,b, and c Discrete Mathematics The following statement is false due to the existence of a counterexample: Vr,s ER if both r and s are rational, then r + 1 - is rational 2 a)identify the counterexample b)modify the statement to exclude that specific case Clprove your new statement using the Direct Proof method.
Discrete mathematics question Can you please answe the following question? Please show your answer clearly. et n be a positive integer. Use the Master Theorem to obtain the big-O class for the functions that satisfy the following recurrences. (a) (4 points) g(n) -4g(n/2)+ n b) (4 points) (n) 2f (n/3) 0(n)
2. Classify the following quantitative variables as discrete or continuous. Justify your answer (a) Cranial circumference of newborn infant measured in centimeters. All tir (b) Systolic blood pressure measured in millimeters. (c) Heart rate measured as number of beats per minute. (d) Red blood cell count.