Prove: If the sum of the digits of a number in base bis divisible by b 1, so is the number.

Q: Find the term indep of I in the expansion of 7 文(古一警」 3 S ping to 'TE "ittle tr week

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Q: Using Euler's Theorem, Find the last two digits of 123402

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Q: TRUE or FALSE: 1. (3141, 1592) = 1 2. The LCM of 2b and 3b^2 is 6b 3. The complete set of positive…

A: 1) (3141, 1592)=1 2) The LCM of 2band 3b2 is 6b. 3) The complete set of positive factors of 24is 1,…

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 112m-3 4 - c" 4 ac?

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Q: Each letter of the alphabet is assigned an​ integer, starting with A=​0, B​=1, and so on. The…

A: Solution: The objective is to find what​ two-letter word is represented by the digits ​02.

Q: Use Euler's formula to write the given expression in the form a + ib 2¹-i

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Q: Express the hexadecimal number AB973 in base 8. Show your working!

A: Any system which is expressed using 16 symbols is called hexadecimal number. And a system formed by…

Q: 1 101101, and 101, 2. 10111102 and 102 and 112 3. 1000012

A: Since there are multiple questions the first question is answered as per our guidelines. Kindly…

Q: From all three-digit numbers find the one tha

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Q: Determine whether the following statements below is true or false. 1. (1/2)2<1/2, and 123 is…

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Q: Add the bases and show work  2123 + 213 =

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Q: 1 I01, and 1110, 2. 111000, and 11102 3. 11D0001, and 110102

A: Given problem Given that   1)1111012 and 11102

Q: What is the inverse of 16 modulo 43 i.e. which number a has the property that 16*a has the remainder…

A: From question we have to find the inverse of 16 modulo 43. i.e  16*a mod(43)=1 It can also be…

Q: From a point 4 miles north of a cell tower, a hiker walks 2.5 miles west. How far is the hiker from…

A: Let us first make a diagram to understand the problem better. The hiker is initially at A, 4 miles…

Q: 1. Find all natural number factors (divisors) of the number 42:

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Q: 215 = 32, 768. How many numbers between 0 and 215 are the sum of exactly three powers of 8? Each…

A: We need to find the how many numbers between 0 and 215=(23)5=85 such that the sum of exactly three…

Q: of T2, T-:

A: Consider Tn={n, n2}, where n is an integer. The objective is to find the number of elements in each…

Q: Determine whether each integer has multiplicative inverse modulo 1001. If it does, find the inverse.…

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Q: A national park has eighty thousands nine-hundreths twenty-three and eighty-six Hundredths acres of…

A: Given that  A national park has eighty thousand nine hundred twenty three and eighty six hundred…

Q: Determine which positive integers ? have a. Exactly 2 positive divisors b. Exactly 4 positive…

A: A positive integer has exactly 2 positive divisors if and only if it is a prime number.

Q: Which of the following is the same as 3 In (9x)? (b) In 27 + In x (a) In (729x³) (c) In (27x) (d) 27…

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Q: Then Find inverse of 21 mod 200.

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Q: 11. Prove that for each integer a, if a? - 1 is even, then 4 divides a?

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Q: Find the Order and inverse of 11 in Z25

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Q: Prove that 3" + 1 is divisible by 4 whenever n is an odd positive integer.

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