When we multiply 37 Sect ion X 26 by using the standard multiplication algorithm, we start the second line by writing a zero: 308 for all 4 37 se 181 X 26 The 222 be Explain why we place this zero in the second line.

Q: Which of the following rules is used to find the number of positive integers less than 1000 that are…

A: To Determine: which of the following rules is used to find the number of positive integers less than…

Q: if 3 does not divide n then 3 divides 2n^2+1

A: Let us Assumue 3 divides (2n2+1) n2+1=3λ Now  2n2+1=n2+1+1⇒(2n2+1)+(-λ)3=1⇒ gcd(2n2+1,3)=1…

Q: It is possible to find two integers whose multiplication is -4 and whose summation is 0. Select one:…

A: Sum of 2 and -2 is 0 and multiplication of 2 and -2 is -4. So, given statement is true. Sum of 3 and…

Q: Perform the following division problem. Make sure you show pictures of the base 10 or other base…

A: Given: 301 ÷ 4  in base 5 As the base is 5, collect the blocks of unit 5 and blocks of unit 1 to…

Q: 3. Give the complements of each element. 3

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Q: Find e wo integers whose difference is 2 and whose product is 18.

A: Find two integers whose difference is 2 and whose product is 18.

Q: person can encode 1000 words in every hour of typing job.which of the number n of hours that the…

A: Number of words the person can encode per hour=1000

Q: Perform the following multiplications by hand, showing all intermediate steps: [3 -6 0][2 0 2 Lo 4…

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Q: 3. Evaluate. Expres a) 12° ) 6-2 e) 500-1 g) (-2)-8 -2 i) k) - Use a pattern to sl

A: 3.) a) 120=1 this whole number b) 8-1=18 this is a fraction c)  6-2=162     =136

Q: Suppose a=.|21| and b=.|334| find a + b by adding from left to right. How many digits are in the…

A: Note: In the question, the value of a and b has to be of the form a = 0.21 , b = 0.334 not of the…

Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

Q: Use a method other than the traditional algorithm to explain the division: 3050 ÷ 6

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Q: • Applying the division algorithm on a = -20,b = 7 we have A) -20 = (7)(-2) + (-6) B) -20 = (7)(-4)…

A:

Q: When we multiply 38 × 73 using the standard algorithm, we start the second row by writing a zero, as…

A: In the second multiplication, one has to add a zero in the once places. This is because we are…

Q: Suppose each license plate in a certain state has three letters followed by three digits. The…

A: * License plate must have       3 letters and 3 digits ; repetitions allowed.Also , letters H and L…

Q: Find 12 + 19 + 26 + 33 + + 2126 using a technique from this section. ..

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Q: Exercise 6.4 (1) For which natural numbers n is the number 3" + 1 divisible by 10? Find the…

A: (1) We have to find the natural numbers for which the number 3n+1 is divisible by 10. (2) We have to…

Q: Find the exact value of 1sin (14°) 2 + 1cos (4°)2 - 3.

A: Consider the given expression: sin14°2+cos14°2−3Use the trigonometric identity:sin2θ+cos2θ=1

Q: If you multiply n whole numbers (even or odd) when is the answer odd? Translate into multiplication…

A: If we multiply whole numbers, the pattern is as follows: Even × Even=Even Even × Odd=Even Odd ×…

Q: (1)-(3) 13 (23)+(-) 28 7(2)

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Three postal workers can sort a stack of mal in 15 minutes, 40 minutes, and 120 minutes,…

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Q: 12.15. Illustrate the Division Algorithm for: a. a = 17, b = 125 b. a = -17, 6 = 125 c. a = 8, b =…

A: See the attachment

Q: find the two numbers whose diffrence is 7 and whoes product is -12

A: Given:find the two numbers whose difference is 7 and whose product is -12let x and y be the number.

Q: If X ~ N(80, 144) then find (90< x<100).

A: GivenX~N(80,144)Mean(μ)=80variance(σ2)=144standard deviation(σ)=144=12

Q: Illustrate the following quotients using the partition/sharing model of division.  a)392 ÷ 7 in base…

A: As per the guidelines I am only doing 1 question please repost others.   Partition/sharing model of…

Q: Determine the values of q and r guaranteed by the Division Algorithm for (a) n = 160 and d = 16 q =…

A: Division algorithm formula :  Dividend = divisor × quotient + remainder  n = d × q + r

Q: A2. a. Let m=7. How do you find the inverse of all integers from 1 through 6 using the…

A: Consider the given information.

Q: Find SU. 26° 6.8

A: Given:-in right angle triangle∆STU∠T=26°TU=6.8To find: SU

Q: For each of the following, perform the indicated computation. (a) (5 ỉ – 7j – 7k) – (-6ỉ – 83 + 7k)…

A: To simplify the vectors:

Q: pieces

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Q: Find 12+ 17 +22+27+· ... + 1522 using a technique from this section.

A: Topic = Sequence

Q: o the di

A: The division using the c-strips:

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: Compute. 13 2) Σ k

A: Given, ∑k=113k2

Q: 30 ÷ 8 is equivalent to 30.00 ÷ 8. We can write zeros in the tenths place and hundredths place…

A:

Q: Find the smallest positive interger x such that 1001 x leaves a remainder of 70 when divided by 315

A: The given statement can be expressed as an expression, which ix given below  315y+70=1001x Now,…

Q: 36. The problem below shows steps in finding the product of two two- digit numbers using this…

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Q: Find the result of 5 + 4 using the definition of addition

A: addition is summing up of two or more numbers

Q: Duse therom5.4.2 to find 12V IFSV =6 and VT=8

A:

Q: The steps to convert 18 over 8 to a decimal are shown below: Division is shown with divisor 8 and…

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Q: EV2K –1 . Write out, simplify, and leave exact: k=2

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Q: All computations must be shown. 3 1 1 1. Compute the product of A = 1-3 and = 5 -1 -2 Computation:

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Q: Show that 42n -1 is divisible by 5 for n>0

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Q: find the nth term of 1/5, 1/10, 1/15, ... , n = 10

A: In this question we have to find the nth term where n is 10.

Q: As a group, discuss why there are no terms of the form x*, xy, or xy in the expansion of (x+ y)'.…

A: (1) In the expansion of (x+y)3, each term has the power 3 ,that' why x4,x2y2,xy  do not exist

Q: What is the quotient (q) and the remainder (r) when a is divided by b in the Division Algorithm a =…

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Q: Use the repeated addition definition of multiplication to compute the following.  First write out…

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Q: Use the vertical algorithm to find each sum. 3.21 +7 (b) 2.08 + 9.9 () 0.859 16.21

A: Use vertical algorithm to find the sum . (a) 3.21+7 (b) 2.08+9.9 (c) 0.859+16.21

Q: Apply the Division Algorithm on the following pairs of integers. 1. а — 35 and b = 14 2. a = 46 and…

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Q: subtracting 1 from the product of 5 and x gives the same valueas addding 10 to the product of 3 and…

A: We follow given condition.first we got the product of 5 and x and then subtract 1 from the product…