Let T = {0, 1,2}. A string x E T" is said to be balanced if the sum of the digits multiple of 3. an integer 1. Show a bijection between the set of strings in T6 that are balanced and T³. Explain why your function is a bijection. 2. How many strings in T6 are balanced?

Q: What are Very large numbers ?

A: Introduction A no. represents quantity of something which is used for making calculations.

Q: Summary of what is Mathematics in modern world about

A: Mathematics is a subject that deals with numbers, shapes, logic, quantity, and arrangements.…

Q: Let A be a n x n matrix with real entries. (a) Suppose that k is a real number. Prove that det (kA)…

A:

Q: Which one is greater 99100 or 10099 ? No calculators please! Must justify your answer.

A: To find  Which one is greater 99^100 or 100^99.

Q: Earlier this year, 240 caribou were caught and tagged. In a recent survey, 60 out of 350 caribou…

A: GivenThe total number of caribou tagged (population) =240The number of caribou caught this year…

Q: Could you please explain to be what the numbers (3 * 0.01667 * 0.6988) represent in number 2 and (3…

A: For the existing solution, we need to explain the calculationn of question number 2 and 3.

Q: I am having difficulties with signed numbers when it comes to multiplication, division, addition and…

A: Let two negative numbers be -a and -b. For example : -2 and -5.Let us consider the rules for…

Q: Explain why mathematical pattern stripes are related to Mathematics in the Modern World?

A: Stripes that are seen in animal bodies are simple to model mathematically. For example the back of a…

Q: Please explain what it means to: Describe a number as a "prime number" and a “composite number” Give…

A:

Q: What is the role of Mathematics in Chemical Engineering?

A: Chemical engineering problem consists of a lot of variables to solve because there are a lot of…

Q: In 150 words explain the role of Mathematics in your field?

A: Mathematics is a fundamental part of human thought and logic, and integral to attempts at…

Q: What are composite numbers?

A: To define : composite number.

Q: Write 87, 377 in words. Oeighty-seven thousand, three hundred seventy-:

A: The given number is 87, 377To write it in word

Q: Look at the following list of real numbers. Which is NOT ordered correctly? Explain Why.

A:

Q: what are natural numbers?

A: Natural numbers are the counting numbers begins with 1 and continued to infinity. That is, 1, 2, 3,…

Q: What is the mean of the first five three digit numbers?

A: First five three digit numbers are : 100, 101, 102, 103 and 104

Q: Find the arithmetic means between 10 and 20

A:

Q: what is it way to define the term even for counting numbers by referring to objects?

A: The term 'even' in the context of counting numbers refers to any integer that can be exactly divided…

Q: Could you give the result  in decimal?

A: Given that Mean=M=196, Standard deviations=Sd=20.

Q: Make a table giving the value of n! for n=1 to n=15. Do you think the last digit of every factorial…

A: Let's find.

Q: How do people use mathematics in their daily life and in their field of specialization?

A: Mathematics is simply the science or study of numbers, quantities, or shapes.The main aim is to tell…

Q: All whole numbers are even or odd. a. p (g Ar) b. P (g vr) C. p g d. p -(g v r) (-r) e. g

A: Translate the given statement in symbolic form:  All whole numbers are even or odd. Consider the…

Q: Some students have difficulty comparing decimals with 0 or comparing decimals that have zeros in…

A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve…

Q: what is mental math and how does it effect the use of calculators and technology in mathematics. It…

A: We need to explainwhat is mental math and how does it effect the use of calculators and technology…

Q: Some integers are whole numbers

A:

Q: What is the value of pie in mathematics?

A: Value of pi

Q: Explain the best way to evaluate 900!/899! without a calculator.

A: Explain the best way to evaluate 900!/899! without a calculator.

Q: What is an arithmetic operation

A: Arithmetic operators take numerical values (either literals or variables) as their operands and…

Q: Use a model (e.g., a number line) to define the term "equivalent" in a way that is mathematically…

A: Equivalent: In simple words when two objects are same or two expressions lead to a same conclusion…

Q: Write an Essay about the "Importance of mathematics in One' life

A: Importance of mathematics: Mathematics helps developing logical reasoning, critical thinking,…

Q: What is the difference between Traditional Mathematics towards Mathematics in the Modern world

A: Solution is provided below

Q: what is the symbol of abslute value in math way

A: The absolute value of a number is a mathematical function that returns the non-negative value of a…

Q: umand

A: Mathematics will give the way to understand patterns to quantity the relationships and for…

Q: The number of different ways in which 10 people can be seated at a table with 10 places is 3, 628,…

A: topic- place value of a number Place value of 3 is millions

Q: Why multiplication/division and addition/subtraction have different rules in terms of identifying…

A: If we add or substract zero from a number then it will give the same number. But when we multiply of…

Q: The number of arrangement of letters of the word ILLUSION is 40320. False true

A: The word ILLUSION contains 8 letters in which 2-I's, 2-L's, 1-U, 1-S, 1-O, 1-N. The number of…

Q: If the U.S. Economy grew by 4% for three consecutive years, the economy would have grown by 12% over…

A: Given the U.S. Economy grew by 4% for three consecutive years the economy would have grown by 12%…

Q: Describe in detail using both equation and writing (sentences) the divisibility test for the 138.

A: Given: Divisibility test for 138

Q: What are the ten branches in mathematics?

A: Ten branches of mathematics are:-

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.