|(8) Multiply in the indicated base 32 43seven b. x 6seven

Q: Can you use mathematical induction to show that 4 divides 32x + 7 First define the predicate ?(x)

A: given , expression :- 32x+7 we have to prove that given expression is divisible by 4 .

Q: 2. 6n - 1 is divisible by 5 for n any positive integer

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Q: n(nº +5) is divisible by 6, for each integer n 0.

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Q: Carry out the subtraction shown using base-five notation and show that your answer is correct in…

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Q: What is the coefficient of (a^7)*(b^4) in the expansion of (a+2b)^11?

A: The solution of the problem is given in the next step.

Q: Can you use mathematical induction to show that 4 divides 32x + 7 First define the predicate P(x)

A: Yes we can use mathematical induction for Natural number x.

Q: 2.269910988417 x 10^23 so what will i use to bring it down to under 100 ? how to divide it ?

A: so to bring it down 100 we just divide it by number x we now have to find the value of x

Q: R.1. Show that among 14 distinct integers, there must be two that have the same remainder when…

A: In order to prove this statement pigeonhole principle has to be applied. According to pigeonhole…

Q: What are the coefficients of æ5000 and æ4999 in the simplified expansion of (5æª – 2)²2021?

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Q: What is y=2/3x + 4 writen in standard for ? using integer coefficients

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Q: Construct the multiplication table for Z5 Using this table, or otherwise, determine the following x…

A: Solution

Q: ) Write the expansion of (3 + 2x) and use the first three terms of the expansion to approximate3.26.

A: Concept is binomial theoram  3.2 = (3+0.2) 0.2 = 2x0.1

Q: Use the binomial theprem to expond (xty 5. Hence find the valué of 32(2) 243 from the exgansian of…

A: Consider the binomial expansion formula, a+bn=∑r=1nCrn·br·an-r Substitute a=x and b=y in the…

Q: Solve the following using the correct order of operations. For the final answer, DO NOT round or use…

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Q: Multiply the following binomials using either the Box Method OR FOIL: (3x + 2) (x - 1)

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Q: Use an array to show how we could multiply 1⁄2 x 1⁄4.

A: To multiply two fractions to each other we have to multiply the numerators of the two numbers and…

Q: Use the first 3 terms in the expansion of (2+5x)6 to approximate the value of (2.05)6

A: We know that a+bn = C0nan-0b0 + C1nan-1b1 + … + Cnnan-nbn

Q: Multiply in the indicated base. 246seven x 3seven The product is seven

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Q: Show the expanded notation for 2c + 5c

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Q: 21 In the expansion of (x +y), write the value of the exponent k in the term that containsr2k--4,,3k

A: In the expansion x+y21, we have to write the value of the exponent k in the term that contains…

Q: 1. Simplify the expresslon below. @3x ®. x12 ©3x12. . . n... O x64

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

Q: 3. Show that 13" – 7ª is divisible by 6 for n > 1.

A: As per Bartleby guidelines we can solve any one question at a time. Hope you understand.

Q: 22) Write the expression -x² + 3x + 5 in terms of Legendre polynomials.

A:

Q: In a certain province license plates have 2 upper case letters followed by 3 digits.  How many…

A: According to the given information, it is required to find the number of possible license plates.

Q: Find the product. (x-6)(x+6) O x²+12x-36 O x²+36 O x2-36 O ²-12x-36

A: On multiplying ,we get

Q: Multiply in the indicated base. 33six x 4six ..... The product is six:

A: To multiply the indicated base.

Q: (d) an 10"+1 +3 x 4"-1+5 is divisible by 9 for all n2 1,

A:

Q: Develop a simple expression for the entries of A", where n is a positive integer and 1 A = -IN -IN

A: To get a simple expression for the entries of An, where n is a positive integer. A=112012

Q: What is the Coefficient o x' y b. 24 in (3x +y)? Plow monomials appear in +he meny expansion of (3x+…

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Q: What am I doing wrong here? I keep getting -0.8588. Where did the 0.1 come from that we are…

A: We need to explain the answer.

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

A: addition is summing up of two or more numbers

Q: Determine the coefficient of a10 in (1 – 3a5) by completing the following given steps.

A: Since, you have post the multiple question. I am  answering first one. Please post again for the…

Q: Q3) by 47 Show that 4(44!)+49 is divisible

A: Wilson's theorem says that for any prime number p we have p-1!≡-1 modp Since, 47 is a prime number,…

Q: Show that a6-1 is divisible by 168 whenever (a, 42)=1.

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Q: Please Prove whether it is True or False. The value of nª - n² is divisible by 6 for any integer…

A: To prove that whether the given statement is true or false

Q: Ans: Find the remainder (smallest nonnegative integer) when 1015!-1010! is divided by 1013-

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Q: Find all x such that 7x+3 is divisible by 9.

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Q: 2. 6n – 1 is divisible by 5 for n any positive integer

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Q: Show that n22-1 is division by 8, if n is an odd positive integer

A: If n is a odd positive integer n can be written as   n = 2k+1 by substituting in n2-1 n2-1 =…

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

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Q: EVALUATE THE FOLLOWING EXPRESSIONS USING SPECIAL PRODUCT 1. ( 2x* 5y6 )3

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Q: Find and simplify: D¿[In(3!nx²-x)]

A: We have to calculate the value of Dx[3ln(x^2-x)]

Q: 5x +...)(5x ..= 25x²–0.16yª 4 -

A: Given query is to fill the blank to make expression true.

Q: where did the 0.9520 come from?

A: ∠C= 180-43.188-29∠C =107.812°sin C =sin 107.812°          =0.9520That' show 0.9520 came in solving…

Q: Find the product of the expression using special product ( 2 aª – 5 º)³

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Q: Find the term of (x2 +x3)00 that has x185 in it.

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Q: How many of the calculations are prime factorizations of 1260? i. 14 x 30 x 3 ii. 7 x 60 × 3 iii. 42…

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Q: Multiply in the indicated base. 24 six x 4six The product is six

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