(b) k(k - 1). k-3

Q: Assume that 6% of the sixth graders and 3% of the fifth graders participate in Math Olympiad. There…

A: 1st question is based on percentage application and second is on formula  (a+b)(a-b) = (a2-b2)

Q: Find § 6-42 (Z+3) by Residue Theorm.

A: We have to evaluate the integral ∫ 6-4zz2z+3dz using the residue theorem. For this, we have to find…

Q: o use divisibility in this problem but i am not sure where to start. Prove or disprove (with a…

A: Introduction: If a and b are integers, a divides b if c is an integer and ac = b. The symbol a|b…

Q: 5. Give an example of an addition problem with three addends that would be much easier to solve…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Explain why In 4 is greater than 1 but is less than 2.

A:

Q: Find ixv uheres -4に+ +4だ35ェ 2it5j 3 <2ーり52 3V- <3ッみィイフ

A:

Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: 8) Find m/PQK if mLKQR-32°, MPOR 48x +1, and mPQK= 33x-1.

A:

Q: Exercise 13 Determine how many times 0 appears in the multiplication table for Z16 -

A: Here, ℤ16=0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15It is a group under ⊕16 But we have to find the…

Q: Q 6-10- 11 by using product rule

A: Consider the given function:…

Q: Show that 3 + V5 is inational number

A: Let 5^1/3 is a rational numbers. So, we can write it as 5^1/3=p/q ………….(I) according to the…

Q: 18. Find MZBCA. В (5x 12)° (9x + 1)°, (10x - 37)°

A:

Q: Consider the following. y = 4x3 – 24x2 + 7

A: Given equation is To find out critical values take first derivative Apply power rule

Q: Bolve * LOB3X + 3inxt é Ars: 1 = De B o83X -3_8in2 18 3x m , 18

A:

Q: is it possible if you can answer all

A:

Q: DO eEnanan-1+Σ angk n=1 k-0

A:

Q: Which term of the expansion of (x° + 7) contains x 28 ,36 Term number contains æ36

A:

Q: Write the fourth term of the expansion of (2x+ 3y)°.

A: We can get desired result by two ways. One is by opening binomial expansion then getting fourth…

Q: How many women use at most one brand? How many women do not use any of the 2 brands?

A: here given  Forty women were asked regarding 2 known brands of llipstick, it was found out that: 15…

Q: 15, 9,3, -3, how do you find the next term

A:

Q: Suppose you must use 1x“-tile and 10 x-tiles. You only have up to 15 1-til use. How many of the…

A: Introduction: A rectangle is a quadrilateral with equal angles and opposite sides that are equal and…

Q: How to find the last two ditgits of 2^2021 ?

A: Solve the given problem.

Q: At a restaurant you can choose from 3 appetizers 8 entrees, and 2desserts.How many different three…

A: Ans#-  Given, At a restaurant you can choose from 3 appetizers 8 entrees, and 2desserts.…

Q: how many differecnt 4 letters words can be formed using the letters {b.a.s.e} if each word must…

A: Letters are b,a,s,e. Since this is the 4 letter words. Here, the word format does not have to be an…

Q: 28. -0.5x? + 3 = -5x – 2

A:

Q: 12. If 2 does not divide xy, then 2 does not divide x and 2 does not divide y.

A:

Q: Show that 2 + V5 is imational number

A:

Q: What is the largest number x such that x<200 and x has exactly 4 factors?

A: Factors:    Number that are multiplied together to get a product                              Factor…

Q: 3) Put x2 + 6x - y = 8 in st:

A:

Q: Deduce, (0 (231),0-(37),, using BCD numbers with 10's complement method.

A:

Q: a) How can you find a linear combination (with integer coefficients) of two integers that equals…

A:

Q: Evaluate (521 + 3z2)

A:

Q: 2.8 x 105 pounds of treasure is split 0.05 pounds 4 into groups of 0.05 pounds each. Enter the…

A: we have to find number of divisions

Q: When is "+2kπ, k∈ Z" used instead of "+kπ, k∈ Z"?

A: Here we take an example of sine function, sine function is periodic function.   A function is…

Q: adians Simp

A:

Q: 4. Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can…

A: We have to find the sum of all divisor of 5020 and then the amicable pair of the number.

Q: expand 7q(q-2)

A: To expand: 7qq-2 We know that: a(b+c) = ab +ac

Q: What is 5^22 congruent to? Please show steps.

A:

Q: Give 7 examples with solution of General rules of Differentation

A:

Q: 6. Determine. 2r - 3x 4x SET A.

A: I have stated the used formula in the solution

Q: 2. Show that if 8=(AB)- then - > N - - (AB)² + (aß)² – (αB)² – (AB)² = [(A) − (α)] [(B) − (ß)] +…

A:

Q: Evaluate 12k – h² when h=2 and k=3 - Search entries or author Unread Reply

A:

Q: in 2  rows  there are  5 armchairs  and all are  occupied , in how many  differnt  ways can theses…

A: Given: Number of Rows =2. Number of armchair = 5. To determine the number of ways substitute the…

Q: Compute  7!/3!(7-3)!

A: Obtain the value of 7!/3!(7-3)!:

Q: Use different ways to show all possible combination in this situations

A: Here use different ways of representing a total possibilities Here use listing , table, and tree and…

Q: An oil company is going to issue new ID codes to its employees. Each code will have one letter,…

A:

Q: 20. ZJKL and ZMNP are.complementary; MZJKL = 2x- 3 and MZMNP =5x+2. What are mZJKL and mMNP?

A: Given that ∠JKL and ∠MNP are complementary angles.So, m∠JKL+m∠MNP=90°2x-3+5x+2=907x-1=907x=91x=13

Q: Number 332 – 1 has exactly two divisors greater than 75 and less than 85. What is their product?

A: We need to find two divisors of 332-1 between 75 and 85.  Now, we can use the identity a2-b2=a-ba+b…

Q: 7-メナ メ= t ४%= +" Find az -1/3

A: