1. Use combinations to find the coefficient for row 10, term 6 in Pascal's Triangle. Show your work in the space provided.

Q: Question 24 Find the sum of the integers from 1 through 99, inclusive. A 4,950 B 4,955 © 4,945 O…

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Q: PROBLEM 4. Determine the digit 100 places to the right of the decimal point in the decimal…

A: Here ,  727=0.259259259259259259727=0.259¯ The 100th  digit after the decimal repeating part is 259.…

Q: draw a pascal triangle with problem and a solution

A: Topic = Binomial Theorem

Q: Expand the following using the pascal's triangle 1. (5+ 2d)3

A: We will use the pascal's triangle to expand the given expression.

Q: QUESTION 13 (11101), +(1111), = YOU MUST SHOW WORK FOR THIS QUESTION. (11110)2 (101100)2 (101101)2…

A: Second option is correct. See the attachment

Q: Problem No.3: Suppose that we wish to establish a three-letter code using any of the 26 uppercase…

A: According to the provided information, the code should be three-letter codes. but no letter should…

Q: Question 3: Prove or disprove: Given integers a, b and c, if a|b and a|c, then a|(b-c).

A: Solution:Given       a | b  and a | cTo prove a| (b-c)

Q: 13.8 in. 10.1 in.

A: Given that radius is 10.1 in and height is 13.8 in. The objective is to find the total surface area…

Q: ) Compute the following arithmetic operations that are used in different s explained engineering…

A: Introduction: Euler's formula of the complex number is eix=cosx+isinx=∠x.

Q: Problem 6 Create the first fifteen of rows Pas ca ls triangle using convolution :

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Q: If you know that a term in Pascal’s Triangle can be represented by 20C15, what row # and position is…

A: To find- If you know that a term in Pascal’s Triangle can be represented by C1520, what row number…

Q: What are the first 5 entries in row 100 of Pascal's Triangle? O 100 C1, 100 C2, 100 C3, 100 C4, 100…

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Q: Use DeMoivre's theorem to compute (1+i)¹²

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Q: Sheet Q1:- Find the Cartesia ordinates for the follow TO 1:-(2,-,) 2:- (-1,- 3:- (2, )

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Q: QUESTION 3 Determine anand pn form=45and6 and fillout the table below 2 Alach le rome My Comptar

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Q: Questions 108 and 109 refer to the followir in.

A: Given query is to find the missing length.

Q: Need help with question 4 onl

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Problem 3: Prove (directly from the definition) that for any odd integers a and b, a? +3b is even

A: Set theory: number system properties of integers

Q: Question 2 There are 101 houses on a street. Each house has an address between 1500 and 1699,…

A: This is a simple problem based on simple logic. Let us give a proper explanation to show that two…

Q: "he row of Pascal's Triangle that corresponds to n = 8 is as follows: 1 8 28 56 70 56 28 8 1. What…

A: Given data,

Q: Problem 3. Let a be an integer that is coprime with 240. Prove that 240|a4 – 1. -

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Q: In Problems 39–44, use set notation to identify the shaded region. 39. U A B AUB

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Q: What is row 5 of Pascal's Triangle? O 1, 4, 6, 4, 1 O 5 Co+5 C1+5 5 C2 +5 C3 +5 C4+5 C5 O 25 O5 Co,…

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Q: Problem 3: Let B, be the number of compositions of n in which the first part is odd. If n > 1, show…

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Q: Questions 41,44, and 47.

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Q: Given that Ep.g, = 250, Epa, - 150, Paasche's index number 150 and Dorbish - Bówley's index number…

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Q: Identify which of the following is the correct value of the number “m” for the hypothesis that “the…

A: Check for k=1 and k=2

Q: PROBLEM 2 Fnd the nuLmber of 4 letter words using the letters of the word MISTER in which atieast…

A: ANSWER: From the given data,

Q: Question 8 (a) Use the pigeonhole principle to show that if you randomly arrange the numbers 1–12…

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Q: abel

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Q: If det(A) = 2, find det(A5).

A: Given:detA=2det5A=?FORMULA:detcA=c detA

Q: Problem 5 If A is a real n xn matrir, show that AAT and AT A are similar. (Hint: Start with an SVD…

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Q: Write the first eight rows (rows 0 through 7) of Pascal's Triangle.

A: Solution:-

Q: Problem 3. Let a be an integer that is coprime with 240. Prove that 240|a4 – 1.

A: Fermat's Little Theorem: Let p be a prime which does not divide the integer a, then ap-1 ≡ 1 (mod…

Q: Question 7 B = {n|n EN and 97 Next Question

A: B=n|n∈ℕ and 97<n≤103.

Q: the following otone for the ai

A: Option D is the correct answer for a. Find the f(xk) term and delta x for n = 40. As the interval is…

Q: Need help with problem 61 pls

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Q: Find the decimal representation for each of the numbers in the given question. 16/7

A: To find: The decimal representation of the number 167. Calculation: Divide 16 by 7 to obtain the…

Q: 5. See the code below on line 9 there iš a miSsIng * Calculating the hypotenuse 2 import math 3 side…

A: The code states that the hypotenuse is c Therefore the other two sides of the triangle are a and b…

Q: Problem 13 The number 1387 609 is orderly because it has the following propertie- • There are no…

A: Topic - permutation and combination A) we have to  choose 5 odd numbers and 5 even numbers and that…

Q: 11. The row of Pascal's triangle that corresponds to n = 8 is as follows: 1 8 28 56 70 56 28 8 1.…

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Q: 3. The row of Pascal's Triangle that corresponds to n = 8 is as follows: 1 8 28 56 70 56 28 8 1.…

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Q: Given: AB BC and AE DC. Prove: BE BD.

A: Given : AB ≅ BCAE ≅ DC

Q: Write out row 8 of Pascal’s Triangle

A: Elements of pascals triangle are written by summing two adjacent elements of previous row.

Q: Find elements o and t in S3 such that lo|=2, IT|=2 and lot|= 3. How many elements in S4 are there…

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Q: 10. Consider the poly (1, 2), (2,3) and the coefficients fo

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Q: det A = 9214녀 Nor4 N 5 O o 2NN

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Q: Do u know how to do this

A: In B each side of the each red triangle = 1/2 units So perimeter of one red triangle= 3*1/2= 3/2And…