Does 9|54? O Yes, because 6 = 54 O Yes, because 54 = 9 · 5. O Yes, because 54 = 9 · 6. %3D O No, because 54 is not a multiple of 9. O No, because 9 is not a divisor of 54.

Q: What two whole-number powers of 2 does 23 come between? 13 Lower power: 14 Higher power Answer 1:

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Q: evaluate 92.7 · 9−1.3 9−0.4

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Q: What does the "prime sign" mean in h'(w) ? What does the "prime sign" mean in p'(y) ? What does the…

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Q: The inverse of the P-Box [81354267] is O [7 6 245318] O [2 6 45 378 1] [2635478 1] O[2 634 578 1]

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Q: If mis odd, then m3 - mis divisible by 3.

A: We will check this for m=1 first  0 is divisible  by 3.

Q: SUC 5. Using the letters in SAMP ALOC LAKE, how many distinguishable permutations are there?

A: SAMPALOC LAKE  S=1 A=3 M=1 P=1 L=2 O=1 C=1 K=1 E=1

Q: In a leap year there are 29 days in February instead of 28 days. That means there are 366 days in a…

A: Given in a Leap year there are 29 days in February instead of 28 days and the total days in a leap…

Q: Is 3 -1 1 diagnalizable? Why?

A: Consider the given matrix 3-115. Let A=3-115. For an n×n matrix A to be diagonalizable, the number…

Q: What is the term free of ab in the expansion (Vab + Vab (c) 705,432 (a) 646,646 (b) 22P12 (d) 22P1

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Q: What is the probability that an 8-digit driver's license number chosen at random will not have 4 as…

A: Given Data: The number of digits in the license number is: n=8 The possible number of ways is,…

Q: What is the order of each of the following permutations?a. (124)(357)b. (124)(3567)c. (124)(35)d.…

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Q: Question 2 What is the least common multiple (LCM) of 3b, 76 and b- O 2162 O 21b O 2164 O 2163

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Q: 4. Simplify v625. O 25? O 25V5 O 5V5 O 25

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Q: A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24.…

A: The formula to calculate depreciation on a car is given below: where, V is the amount of the car…

Q: the greatest common divisor of 313.517 and 512.35 is

A: Concept: The division algorithm of EuclidThis procedure only applies to positive numbers. To find…

Q: (1) How much is 0! ? (by convention on). 0!

A: (1) Given

Q: What is 30/14 simplyed

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Q: a. What are the first six multiples of 9? b. What are the first six multiples of 12? c. What is the…

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Q: Is 8 ÷ 0 defined? Why or why not?

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Q: that 10348+4303 is divisible by 47. the remainder of 123 is divided

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Q: what is the element a34

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Q: 1) a. A mobile phone shop has 7 colors of iPad, 8 colors of HCT mobile phones and four colors of…

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Q: 8. What is the value of the 13th coefficient in the expansion of (a+b)5? 1,365 455 O 3,003 O 105

A: given(a+b)15 we have to calculate 13th coefficientwe know Binomial nth term formulaTr+1=Cran-rbrnfor…

Q: 5. Evaluate [62³e¹dA; R= [0, 2] × [0, 2] R

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Q: What is 14 7/8% of $2.70?

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Q: Suppose that n=24.35.112.133. How many divisors does n have?

A: Given,  n = 24 35 112 133 Then (4+1)(5+1)(2+1)(3+1) = 5×6×3×4=360 It has 360 number of divisors

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits…

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Q: Suppose m = apɑp-1*** a2ɑ1ao and n = bpbp-1*…* b½b¡bo are two numbers with the same digits so that n…

A: 7) a. Given that ai=bj. Without loss of generality assume that i>j. Now the value of the digit ai…

Q: According to BusinessWeek, 44% of advertisers claim they have been a victim of internet click fraud.…

A: The mean is, μ=np=120×0.44=52.8 The mean is 52.8. The standard deviation is,…

Q: How many different rearrangements are there of the letters in the word SCIENCE? 3360 None of these…

A: Using concept of permutation and combination, answer can be given.

Q: In a garden of fruit trees, 1/2 are Mango trees, 1/4 are Jackfruit trees, 1/6 are Rambutan trees.…

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Q: An object with negligible air resistance is dropped from the top of theWillis Tower in Chicago at a…

A: In this question we will use basic of algebra. We will simply write an expression of equations of…

Q: Determine whether the following permutations are even or odd.a. (135)b. (1356)c. (13567)d.…

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Q: Evaluate: 60C4 50C2 O3/245 O250/3 O245/76 O252/1140 ONone of these 50C2 20P2 O512/81 0245/3 0245/76…

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Q: The prime factorization of 7007 is 7.11.13 72.11.13 73.11.13 7.11³.13 o

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Q: Use the 'Permutations' formula to evaluate the expression P(29, 3).

A: Given that the expression: P (29, 3) The permutation formula is given by, Pn,r=Prn=n!n-r!…

Q: rn is not divisible by 3k +1 or n = 3k + 2.

A: Introduction: If a number a is divided by b, then there must exist an integer k such that, b=ak.

Q: How many different 3-digit numbers can be formed from the digits 1, 3, 4, 5, 6, 7,9 if repetition of…

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Q: (a) In a 12-horse race, how many exactas are possible? (b) In a 12-horse race, how many trifectas…

A: Here as per policy i have calculated first main question Here use combination

Q: 4503 is divisible by 2,3,,5,6,9or 10

A: 4503 is divisible by 2, 3, 5, 6, 9 or 10.

Q: How many negative divisors has the integer 90?

A: The divisors of 90 are all the numbers that we can evenly divide into 90.

Q: How many terms are there in the expansion of (a+4b)^20 ?

A: Given expression, (a+4b)20

Q: a6 15552 аnd as — 3359232 О 2,8, 32, 128, 512 -2, -8, -32, -128, -512 о 2, -8, 32, -128, 512 о 2,…

A: On solving this we will get

Q: where did 22/7 come from

A: Given ,  A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through…

Q: Is it true that for any odd n the number 2" +1 is divisible by 3? Prove your answer.

A: We prove this by using PMI(Principle of Mathematical induction)

Q: Which integer is √6 closest to?   Which integer is √85 closest to?

A: Given: We have to find x closet to which integer.  Integers are…

Q: For Americans using library services, the American Library Association (ALA) claims that 67% borrow…

A: ALA claims 67% borrow books i.e. p = 0.67 sample size  : n = 101  x : number of borrowed books = 78…

Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10

Q: Consider an experiment in which there are 4 groups and within each group there are 12 participants.…

A: Given:  No of group k=4  No of sample in each group n=12  To find degree of freedom for denominator…

Q: "Married- Unmarried" is an example of which of the following classification? O a. Composite b.…

A: Introduction :-  To find which which classification method used for, " Married- Unmarried "