7) Write all the following as expansions: > 0.2 > V26 V35 > (0.99)-4

Q: 10 3 Consider the expansion of

A: Given that The aim is to find the coefficient of in So, to find r for the general term,

Q: 6. The decimal expansion of 135/ 225432 will terminate after how many decimals?

A:

Q: How many integers between 100 and 400 contain the digot 2?

A:

Q: Prove that the hundreds digit of n20 is even.

A: To Prove that the hundreds digit of n20 is even.

Q: The upper limit of the number of primes less than 23456 is O 2612 O 2331 O 5367 O 7136

A: Given number is 23456. We have to find number of primes less than 23456. formula for the number of…

Q: When to use the simpsons rule 1 3 and 3/8?

A: The simpson 1/3 rule is use when the given number of sub intervals is divisible by 2. That given…

Q: Use three terms of the expansion for √1 + x to calculate the value of √1.1018.

A:

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

A:

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: 14 Which term of the expansion of (x + 1)contains x 16 Term number contains x16

A: The given expression is:…

Q: In the "before and after" specification with n=1,500 individuals and 3 regressors:

A: d. including 1 dummy variable for the second time period and 1499 individual effects as binary…

Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: 5n. Determine for which n n-2 For nz 2, let on =

A: Here we have to determine the n for which |an|<1 for all n≥2 where an=5nn2-2

Q: What's is 38392% of 4

A: Given,  38392% of 4   We have to calculate it.

Q: Find the sum of the positive even integers up to and including 50.

A:

Q: 2) express the given reapeating decimal as a fractional : 0.9999..., 0•159159159…, 0·782178217821… ,…

A:

Q: How many mombers between 50 and 200 can be expressed as 4k-1, where k is an integer?

A:

Q: WHAT IS THE THREE SIGNIFICANT FIGURE OF  6.202 eV

A: See answer below.

Q: Sx" Inxdx

A: The given integral is  I=∫xn ln x dx after solving this we have to use the result to find the below…

Q: a)What is N? lo) What is Sx?

A:

Q: 3. Prove that 2" > n For all nuatural numbers

A: Solution

Q: 21. How many positive integers x are there such that 3x has 3 digits and 4x has four digits?

A:

Q: The expansion of 500P3 is

A: The formula for nPr is defined as nPr = n! / (n - r)!

Q: To what power has 4 been raised to attain the result of 256?

A: topic - exponents

Q: Prove that the nth Fibonacci number fn≤αn−1, where α is the golden ratio.

A:

Q: %24 Find the amount of mor answer completely. Ass

A:

Q: If n > 1 is an integer not of the form 6k + 3, prove that n + 2" is composite. [Hint: Show that…

A: Congruence modulo relation on integers: Let a, b∈Z and let m be a fixed positive integer. Then we…

Q: Find the sum of all positive integers, from 5 to 1555 inclusive, that are divisible by 5.

A:

Q: 2. Derive the following binomial identity: (n + () --("-") = r

A: To derive the binomial identity; n+1rn+1=rr-1n We have to prove that the left hand side of the…

Q: Q7. How many positive integers not exceeding 100 are divisible either by 6 or by 10?

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: 29 Using the combination formula expand (5+x)

A:

Q: If the 2nd, 3rd and 4th terms in the expansion of (a + x)" are respectively 240, 720, and 1080…

A:

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: 3. Determine the nth-term formula for the number of square tiles in the nth figure. а. a2 a4 as b.…

A:

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: How many times greater is the value of the digit 6 in 536,807 than value of the digit 6 in 392,601?…

A: GivenDigit 6 in 536807Digit 6 in 392601

Q: What is the last digit when you expand 3^2005 ?

A: Topic - exponents

Q: 5. Find the value of AB. B AL 5 in 5 in X16 in

A: We have to find AB

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

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

Q: on 10 of 16 25628 49977 376? Find the missing number? O A) 40 O B) 38 OC) 39 O D) 35

A:

Q: How large a subset of the integers from 1 to 50 must be chosen to guarantee that one of the numbers…

A: We have to determine How large a subset of integers from 1 to 50 must be chosen to guarantee that…

Q: is it Inin) Mニ2 direfence ?

A: Solve the given problems.

Q: 1) Write all the following as expansi > 0-2 > V26 V35

A: In this question we have to do expansion.

Q: 13. Jan has a 12-oL in the milkshal chocolate. Wh: that represent that is vanilla?

A: Fractions can be expressed in decimals too.

Q: Can you find the second subpart to this wue

A: This question has been solved completely. Please ask your query clearly.

Q: Obtain the expansion of ; up to the term in x* 1-3x2

A: We know 11-x = 1+x+x2+x3+ ⋯

Q: 1.a)How many license plates consisting of 6 digits (0 to 9) have their digits in strictly increasing…

A: a) Total no of digits = 10(0 – 9) 6 digits can be selected in Now arrange all the no in increasing…

Q: use Simpsons rule to approximate Take n=6 and h=1

A: To approximate the value of the integral  ∫−221−3xdx Using Simpson's rule with h=1 and n=6.

Q: Find the specified terms in each the following expansions : ,5th term 6. (x+) ,4th term (5x - 2y)5…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.