11. What do you obtain when you raise 27 to the 8/3 power ? * 1/3 of (27 to the 8th power)

Q: 5. The Current Popuietion OF a tawn in 1o, 000. IF +he Population, Pe increases by 20% each year,…

A:

Q: Is it possible to raise a positive number b to a power and obtain a negative number? Is it possible…

A: The given statement is " The possibility to raise a positive number b to a power and obtain a…

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

A:

Q: D) Sebastian has worn a black shirt on 8 of the last 20 days. What is the experimental robability…

A: P(A) = n(A)n(T)

Q: B. Show that the following procedure always produces number 5. Procedure: 1. Pick any counting…

A: lets take any number is x add in 4 so number is  : x+4 multiply by 3               : 3(x+4)…

Q: 2. Find the root using Regula-Falsi Method a) x* - x - 10 = 0 Ans. x = -1.697 and 1.855

A: Follow the procedure given below.

Q: Suppose it was known that the cells ofa given bacterial culture divide every 3.5hours, if there are…

A: Given, Initial number of cells= 1000 culture divide every 3.5hours

Q: How many digits does a number 8^(n). 5^(3n+4)  have, if n belongs to N ?

A: Given data Number: 8n .5 (3n+4) We have to find digits in number.

Q: 103. Show that In (1 + e²*) = 2x + In(1 + e-*).

A: ln1+e2x=2x + ln1+e2xFormula:lna-lnb=lnab

Q: ity by 11 by alternately adding and subtracti left, beginning with the units digit-that is, units…

A:

Q: Find the smallest integer value c and it's n, to show that 2n2 + 6n – 3 Oln –10) is an

A: Given:

Q: What is the exponent on the x variable of the 3st/nd/rd/th term in the expansion of 17 (x2 +3y)" ?…

A: using formula:-

Q: 21. 22. 8 in 70 in (-6(5r) + 10) in (9x – 2) 3 of 6 in r = X =

A:

Q: (a) In (x - 3) = 7 (b) In (x + 4) + In (x- 4) = 1

A: Given(a) In(x-3) = 7(b) In(x+4) +In(x-4) =1solve for x(a) In(x-3) = 7In(x-3) =7take Ine  both…

Q: in in out 1 Rule 25 Multiply by 5 4 30 out

A: If x and y are two numbers such that x=5×y, then y=x5. For example, it is known that 15=5×3,…

Q: 2 + 15 show tha e is irational number

A:

Q: The fraction can be represented by the repeating decimal 0. 142857. What is the 41st digit after the…

A:

Q: 16. How many terms are needed to approximate 2(-1)"+1 (÷) with an error of less than 0.001?

A: The given alternating series is: ∑n=1∞(-1)n1n4 Let, an=1n4

Q: Suppose 1.34 % of the items produced by a particular assembly line are defective. How many items…

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

Q: You brush your teeth very, very carefully in the morning at 6am leaving only 1000 bacteria on your…

A: We will find a sequence for number of bacteria .

Q: Σ 9n n = 1 Identify an-

A:

Q: Show that 100 1 arctan(100) – arctan(2) + 1 1 < arctan(100) – arctan(2) + 1+ 1002 1+ k2 k=2 1+ 22

A:

Q: ole

A: We have to solve given differential equation:

Q: When x is divided by 7, the remainder is 5. What is the remainder when 5x is divided by 7? Moreover,…

A:

Q: 24 + * ? 8 What is the coefficient for the yl8 term in the expansion of (5x°y²

A: We use the Binomial Theorem to answer the given question.

Q: 1. In the number 909,507, how many times greater is the 9 in the thousands place than in the ones…

A:

Q: :The nth term formula for { 1,0,1,0,... } is

A: given sequence 1, 0, 1, 0, .........

Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power n(n –…

A:

Q: 6. How many times will the clock strike in 24 hours if it strikes only at the hours once at 1, twice…

A:

Q: suppose the repeating pattern in 0.020020200202002.... continues forever. Is this number rational?

A: A repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal…

Q: 9. It needs 8 persons to dig an irrigation canal in 15 days. How many persons are needed to do the…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Suppose that 0.3210 approximates 0.3245. How many significant digits does the approximate have? O 3…

A:

Q: If in the expansion of (1 + n}+", the 5th term is 24 times the 3rd term, fnd the value of n.

A:

Q: what is the particular solution to the difterential equahion y's +e, subject to y l) = 4e %3D why…

A: Given differential equation is y'=-yx+ex we can write it as y'+yx=ex I.F. is I.F.=e∫1xdx=elogx=x…

Q: 5. Express in simplest radical form. 2x+y O 2x²y¹ O/16x6y³ O 2x²y¹ O 16x6y³ 6. Express the following…

A:

Q: fully expand (3x + 2)5 with Pascal's Triangle?

A:

Q: he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

A:

Q: Suppose X~N(125,16), and Z~N(0,1). Then x = 141, is equivalent to z = ______. (Round your answer to…

A: For large sample n&gt;30 so, it is a z test. x~N(125,16) =125+16 = 141= x.

Q: Divide 1.5055×10^11 by 2.5×10^-11 A 6.022×10^23 B 6.022×10^0 C 6.022×10^22 D 6.022×10^21

A: Given: 1.5055×10112.5×10-11

Q: how do you compute 1.2193 to the 1/3 power?

A: Here we use logarithmic method to find tha solution.

Q: How many can 3 digits be formed using the digits from 1 to 5 if the digit 2 is never there in the…

A:

Q: Compute the exact answer mentally by finding compatible numbers or substitutions: 4x 273 x 25 4x273…

A: The steps are as follows

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: evaluate sin(4 – 3i) O 9.71Z137.592° O 9.71/42.408° 9.71Z- 137.592° 0 9.714 42.408°

A: The given problem is to evaluate and simplify the given complex expression and express in polar…

Q: If n is an even integer then 7-n3 is sometimes even and sometimes odd. O is an odd integer is an…

A: We have to state whether the 7-n3 is an even integer, odd integer, or sometimes even and sometimes…

Q: 4. What is the value of the 4th term of the expansion (a +b)°?

A: Given,           The value of the 4th term of the expansion a+b5.

Q: 24. 2n(ar31) In(3 +1)-3n(x)

A: To simplify using the properties of the logarithm the expression given below:

Q: 8. f(x) %3D In (3х * — 5х?)5

A:

Q: Decimals can be approximated by using only the leading nonzero digit or by rounding to the leading…

A: Answer : Approximate 0.0081 by using the leading nonzero digit = 8.1 × 10-3

Q: Find the coefficient of x2 in the expansion of (x – 1)37. -

A: Answer

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.