### Irrationality Proof : Prove that log(8) / log(9) is irrational.

Prove that the following function is irrational log(8) / log(9)

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Prove that the following function is irrational log(8) / log(9)

3.13) Suppose human population grows from 6.3 billion in 2000 to an ultimate population of 10.3 billion following the logistic curve. Assuming a growth rate of 1.5% in 2000, when would the population reach 9 billion? What would the population be in 2050?

Problem #1 Election 2000 : Election 2000 has been decided, but it will be remembered for its closeness and controversy. Open a partially completed version of the workbook (PArt 1 - 2000 Presidential Elections) then complete the workbook so that it matches below so proceed as follows: Ø Enter the appropriate IF func

A rectangular painting with a width of x centimeters has an area of x^2 + 50x square centimeters. Find a binomial that represents the length. The amount of an investment of P dollars for t years at simple interest rate r is given by A= P +Prt. A. rewrite this formula by factoring out the greatest common factor on the right-h

See rohwer17.pdf. On page 29 of notes in pdf file ( do not follow page number in pdf file) ; study example. Now see in rohwer17.pdf - you see about ¼ page down , (Do this!) Please obtain the expression for g.

Please help with attachment

See attached

Is the following algebraic statement true or false? a. True b. False

Please help in completing the following pre-exam practice questions and show all work at to how you got the final answer. 1. (5x2 - 4xy + 4y2) - (2x2 - xy + 2y2) 2. 3x2y (2x2 - xy2 + 3y3) 3. (3x + 2)(5x - 4) 4. (2x - 7)2 5. (2a + 3b)(2a - 3b) 6. (12x4 - 16x3+ 8x) / (4x) 7. (3.2 x

(See attached file for full problem description) Use an identity to write each expression as a single trigonometric function value or as a single number. 2* tan15 /(1 - (tan15)^2)

(See attached file for full problem description with proper symbols) --- 1.The functions f and g from the set of real numbers to the set of real numbers are asymptotic or f~g if lim x∞ f(x)/g(x)=1. Let f(x) = log (1+x2) and g(x) = log x. Prove that f(x) is g(x)) but fand g are

Instructions: Click on the link below to open the document Identify the document by typing your full name next to the yellow text. Rename the file by adding your last name to current file name (e.g., "u1ip_lastname.doc") and saving to your files. Type your answers next to the yellow text. To show your work, you will

A fencing contractor is erecting a wooden fence, 40m in length, extending from the rear wall of a house, with 20 posts spaced at 2m intervals. The foreman sets out the first post correctly, at 2m from the wall. The setting out of the remaining post is carried out by two of the foreman's team who make an error of +0.75% in measur

The problem is: a piece of notebook paper measures 8 1/2 inches by 11 inches. If the margin is 1 inch on the top and sides and 1 1/2 inches on the bottom, what is the area of the working surface of the paper.

-3< x<5 and 3x>9 Show all work and the graph.

Please explain and show work Y=2x^2+12x+19 Find discriminant nature of solutions relationship to x axis solution vertex

1. ALU Design a 1-bit ALU that can perform add, AND, XOR and NOT operations. 2. Decoders Design a 4-to-16 decoder using 2-to-4 decoders. 3. Comparators Design 4-bit comparators that would evaluate the following single relations: (a) X>Y (b) X~ Y 4. Multiplexers Build a 16-to-1 multiplexer using only: ? 4-to-

Square root of x cube = 27 Is the square root of x square = x an identity (true for all nonnegative values of x)

A raffle offers first prize of $1,000, 5 second prizes of $300 each, and 25 third prizes of $10 each. If 10,000 tickets are sold for $2 each, find the expected winnings for a person buying a ticket. Is this a fair game? ( hint: In a fair game the expected value is 0)

Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point? The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 1000 cm3.

Write as a single logarithm with coefficient 1, the expression: (see attached file) 2 log 5 x + ½ log 5√ x

To solve power functions. See attached file for full problem description.

Use synthetic division to find the quotient q(x) and remainder r (5 x 3 - 21 x 2 - 103) / (x - 5)

Suppose F varies jointly as x and y and inversely as z squared. If F is equal to 18 when x = 4, y = 3 and z = 2, find the value of F if the values for x, y, and z respectively are doubled.

(19) Using the formula s(t) = ?16t2 + v0t + s0 write the equation for the height of a rock propelled directly upward from the ground with an initial velocity of 60 feet per second. 19) ____________________ 20) What is the maximum height reached by the rock in problem 19, and how many seconds does it take for the rock to reach

1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks: a) Solve by factoring. b) Solve by completing the square. c) Solve by using the quadratic formula. 2) For the function y = x2 - 6x + 8, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. b) What is the lin

Let (O,A) be a measurable space. What do these properties mean? 1) lim sup_n A_n := /_n /_m=n A_n in A 2) lim inf_n A_n := /_n /+m=n A_n in A keywords: limit, supremum, limsup, liminf

A 5% solution of a drug is to be mixed with some 15% solution and some 10% solution to get 20 ml of 8% solution. The amount of the 5% solution used must be 2 ml more than the sum of the other two solutions. How many milliliters of each solution should be used?

A. tan(theta) / [1 - cos^2 (theta)] b. cos^2 x + cos^2 x cot^2 x c. (tan^2 x + 1) cos x

(See attached file for full problem description with PROPER EQUATIONS AND SYMBOLS) --- The average of the numbers 5, 9, 10, 13, and a equals 11. Find the value of a. a. 16 b. 17 c. 18 d. 20 A shirt is on sale for $34.40, which is 20% off the original price. Find the original price of the shirt. a. $36.40 b. $41.28