The number of different codes available is

Q: Start with a square of area 1 square foot. Use the Sierpinski square design where the original…

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Q: Would both of these questions have the same answer? 450+550/10 450+550 --------- 10

A: Given           450 + 55010  and 450 + 55010

Q: A. If p + 2 is a prime number, prove that p? + 3 is divisible by 4.

A: Let p≠2 be a prime number.

Q: If I’m 20 in June 2022 . In which year I was born?

A: A persons age is calculated from the day he was born. Every time the day he person born repeats, the…

Q: If a,b, and c are consecutive integers and abc=0, then what is the smallest possible sum of there…

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Q: Suppose that B and Care points on the number line. If BC = 13 and B lies at -4, where could be…

A: Suppose that B and Care points on the number line. If BC = 13 and B lies at -4, where could be…

Q: Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true…

A: We have to compare two given sets.

Q: Find a counterexample to show that the following statement is incorrect: "The product of a 2-digit…

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Q: How many three-digit numbers can be formed under each condition? (a) None of the digits can be 9.…

A: Here 3-digits numbers can be formed. a) 9 not be used b) lead dgits 0 to 4

Q: The set of integer number is cinbounded set

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Q: If m and p are positive integers, which expression must be negative?

A: Let m and p are positive integers ,

Q: 544 1. 5349 Adam wrote 510413. 54 Nic wrote 45. Shane wrote 545. Who is correct? 2(3)-4 2. 5-2 Adam…

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Q: Find the 9 terms of GP 3,6,12,24,..

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Q: If p + 2 is a prime number, prove that p² + 3 is divisible by 4.

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Q: Suppose that B and C are points on the number line. If BC = 7 and B lies at - 5 , where could C be…

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Q: When C>0 and d is a positive integer, the expression (C) d is equivalent to which of the following:

A: We have to find similar expression to given expression.

Q: How many integers from 1 to 1000: a) Are divisible by 7? b) Are divisible by 7 but not 11? e) Are…

A: a) From 1 to 1000 there are 1000 numbers. Now, 1000/7 = 142.86 So, there are 142 multiples between 1…

Q: Find a counterexample to show that the following statement is false. The sum of two four-digit…

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Q: Find the 9 terms of GP 3,6,12,24,....

A: Given GP - 3, 6, 12, 24, ...........We have to find the 9th term,Formula to find the nth term of GP…

Q: a) Prove or disprove = . 3

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Q: b) If x is an even prime number, then x is divisible by 2. Converse: Inverse: Contrapositive:

A: Given the statement, "If x is an even prime number, then x is divisible by 2". It is of the form,…

Q: A. If p 2q25 is a prime number, prove that p-q is divisible by 3.

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Q: If z ≥ 2 is an integer, show that the following numbers are composite. n! + 2, n! + 3, n! + 4, ... ,…

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Q: If ACDE AFGH then D 2?] Enter the letter that belongs in the green box.

A: Given, ∆CDE≅∆FGH We have to find ∠D ≅ ?

Q: implify V99 to the form avb. V99

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Q: Prove by contraposition: if a, b and e are integers and be is not divisible by a, then b is not…

A: Given a,b and c are integers. Statement : P: bc is not divisible by a. Statement: Q: b is not…

Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: If a and b are constructible numbers and a ≥ b > 0, give a geometricproof that a + b and a - b…

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Q: Suppose that B and C are points on the number line. If BC = 10 and B lies at - 4 , where could C be…

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Q: Which pairs of the integers -11, -8, -7, -1, 0, 3, and 17 are congruent modulo 7?

A: -11≡3 (mod 7) holds  Since -11-3 = -14 is divisible by 7 and leaves remainder 0. -7≡ 0 (mod 7)…

Q: Use inductive reasoning to find a pattern and then make a reasonable conjecture to find the next…

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Q: is company and every year he adds 7 cars, then how many cars will he own in 8 years? O 161 O 311 O…

A: We are given, Initial cars=16Number of cars added per year=7 Hence, the number of cars after 8…

Q: Give a formal proof of (4→ B) → [(¬A → B) →B -> В

A: Given two statements A and B To prove that A→B→¬A→B→B Let us construct the truth tables of A→B, ¬A→B…

Q: Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true…

A: Given : {pumpkin seeds, pinto beans} ___ {cranberries, zest, pinto beans, chambord, pumpkin seeds}

Q: Suppose that B and Care points on the number line. If BC = 11 and B lies at - 3 , where could C be…

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Q: 4. 2x = 3 (mod 5)

A: A congruence ax≡b(mod n) has a solution only if  gcd(a,n) divides b. Also to solve a congruence…

Q: Find out how many distinct three-digit numbers can be formed using al the digits of 1, 2, and 3. * O…

A: To find  Number of distinct three digit numbers can be formed using all the digits 1,2 and 3.

Q: - 2 Evaluatelim x- 8x2-7x-8 O 1/9 O 27 O NONE OF THESE 1/12

A: To evaluate: limx→8x3-2x2-7x-8

Q: Show that the principle of mathematical induction implies that I is the leact p natural number.

A: Solution of the problem as follows

Q: 10. If two days before yesterday is Sunday, what day is three days after tomorrow? " a. Thursday b.…

A: First we calculate what today is and then we arrange the days according to the given problem to get…

Q: If a-In 2 and b-In 3, express In 6912 in terms of a and b.

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Q: For any natural number n, n²+1 is always odd. True False

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Q: Place either between this pair of numbers so that the resulting statement is true: 22 |- 8|

A: Modulas function is defined as:x = x,  x>0-x, x<0We can see that x have always a positive…

Q: If X is a positive integer divisible by 6, and X <60 What is the greatcst possibe vaive of X 7

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Q: Place either or between this pair of numbers so that the resulting statement is true: |14| -7

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Q: Which numbers from the set {-57, 17, 108, 0, -110, -93, 1111, 130, 232} are congruent to 6 mod 11? O…

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Q: The phone numbers on the Georgia Tech campus have the form SSS-CVA-TECH, where S can be the digits 1…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…