### Proof by induction

Prove by induction that (1 + 1/2)^n >= 1 + n/2 for all n in N

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Prove by induction that (1 + 1/2)^n >= 1 + n/2 for all n in N

Solve an inequality. Write a solution set using interval notation. X^2 - 3 X - 5 >/= 0 "( X^2 - 3 X - 5) is greater than or equal to 0" PS: Please use those symbols, Multiplication * , fractions /, Exponents ^, Roots sqrt( )or √( ), - √( ), Infinities - ∞, ∞, minus - or plus + For examp

1. When the FCC conducted the original A and B block PCS auction, what were the companies that won the license for Cleveland Ohio? What is the MTA number for Cleveland? How many pops were covered by the license? 2. Who was the winner original high bidder(s) for the D-Block auction for Houston BTA? What was the BTA number? Wh

SHOW ALL STEPS WITH SOLUTION. FACTOR OUT THE GCF IN EACH EXPRESSION. 1. 12X^4T + 30X^3T - 24X^2T^2 2. 15X^2Y^2 - 9XY^2 + 6X^2Y FACTOR EACH POLYNOMIAL 1. 3X^2 + 6X + 3 2. X^3 + X^2 - X - 1 3. 3A - 3B - XA + XB FACTOR OUT EACH POLYNOMIAL AND FACTOR OUT THE GCF 1. H^2 - 9HS + 9S^2 2

Please see the attached file for the fully formatted problems. 1. Pick your favorite financial site on the web 2. Go there and get the stock price for McDonalds for the first trading day in March and April of this year 3. Develop a trend line slope (change in dollars per month) 4. Check the stock price for the first trad

Please see the attached file for the fully formatted problems. For questions 1 through 4, simplify the expressions. 1. 9 - (- 2) + (3 - 4) 2. - 2/3 - ½ 3. - 8 ÷ 4?3 4. - 8 ÷ (4?3) 5. Evaluate the expression - 6(x + 3) for x = 2 6. Look at this expression: 12x³y + 3x²y² + xy³. Is this a binomial? Of what

I am having trouble with these six 6 questions. Can you please help me? I am missing some concepts. Thank you for your assistance.

A bacteria culture starts with 760 bacteria and grows at a rate proportional to its size. After 2 hours there will be 1520 bacteria. Express the population after t hours as a function of t.

Please answer this two part question: 1. How do I solve this equation? (y + 2)2 + (x - 3)2 -------- -------- 25 16 2. How do you graph this equation?

Please answer this two part question. 1. How do you find the graph of the hyperbola with its fundamental rectangle based on these two equations of the asymptotes of the hyperbola? -4x + 3y = 0 and 4x + 3y = 0 2. Please graph the hyperbola with its fundamental rectangle.

Please answer this two part question: 1. How do you solve 2. How do you graph it y = P(x) = x2 + 1 ------ x2 - 4

Suppose that -1 < r < 1. Prove that r^m -> 0 as m -> infinity. (I think you can write 1/r in the form 1+y, where y>0. Also I believe you can use the Bernoulli's inequality (1+y)^m >= 1+my for all m belonging to N(natural numbers))

Prove that when two springs are attached one at the end of the other, the coefficient of the final spring becomes 1 / (1/k1 + 1/k2 ) where k1 and k2 are the coefficient of the two individual springs. Then consider two systems of springs, one in which a mass m is attached two the end of two springs which a

Hello, Can you please show me how to do this problem and how it would look graphed? Thanks x +3y = 6

Prove Hogatt's Theorem: Any integer number can be written as a sum of terms of Fibonacci series. See attached file for full problem description.

1. Perimeter of a rectangle. the length of a rectangular swimming pool is 15 feet longer than the width. if the perimeter is 82 feet, then what are the length i width. 2.Household income. Alkena and Hsu together earn $84,326 per year. if Alkena earns $12,468 more per year than Hsu, then how much does each of them earn per y

Please see the attached file for the actual problem and a graphical illustration. Let ABC be a right triangle with sides a, b, and hypotenuse c. Let r be the radius of the inscribed circle and ra, rb, and rc be the radii of the escribed circles tangent to sides a, b, and c. What "RELATIONSHIPS" can you discover among the length

There is no bijection between any set A and its power set P(A) of A. For finite sets, proof is trivial since |A| = n and |P(A)| = 2^n. For finite sets, this is done by contradiction. Suppose there is a bijection $ between a set A and its power set P(A). Consider the set B={x|x is a member A where x is not a member $(x)}For e

Prove that Rsquared has the same cardinality of R (hint: think of shuffling two string of digits) See attachment for full question

Please see the attached file for full problem description. ALL STEPS MUST BE SHOWN PLEASE PROVIDE AN EXPLANATION IN COMPLETE SENTENCES Here is the problem Given and prove that there is a unique y>0 such that That is, exists and is unique Hint: Consider y = the least upper bound of Then use exercise 2 to s

1. Perform the indicated operations and simplify. 2{9x - 3[2x - 2(3x - 2 - 2x - 4) - 2] +5} = 2. Multiply out: (5x - 4)3 = Factor completely. 3. 36x3 - 100x = 4. 32x2 -60x + 27 = 5. 4x3 -4x2 -x + 1 =

Please include answer and steps to solve problem and explain if needed. 1) What is 10^-1 + 10^0 + 10^1? 2) 16 is 20% of.... 3) If f(x) = x^2 + 1, then 2f(x) = ? 4) If f(x) = x^2 + 1, then f(2x) = ? 5) If f(x) = x^2 + 1, then f(y) = ? 6) If 2x + y = 3, and x - y =3, what is x? 7) If 2x + y = 3, and x

1-Three times the opposite of a number is 40 greater than 5 times the number. whats the number. 2-The product of 7 and the opposite of a number is decreased by 28. If the resulting number is -35, what iss the number?

See Attached for details and questions Problem 8 Find the LCD and perform the following operation: Problem 9 For the following parabola find (you are not required to plot this solution): (1) maximum value (2) the vertex (3) the x -intercepts (4) y-intercept (5) the domain (6) the range Problem 10 Solve the t

Simplify the following expression (avoid negative exponents in the final answer): See Lecture 1 and Lecture 5 for an optional procedure *see attached for equations* Simplify the following expression (avoid negative exponents in the final answer): See Lecture 1 and Lecture 5 for an optional procedure. *see attached for equa

Log base2 (a^2*square root of b) to the 4th

Solve the inequality. State and graph the solution set. See attached for equation

Sale managers normally want to increase revenue R by selling more. For example, a manager may know by experience that revenue R will increase or decrease according to the following mathematical linear model for a a sales price P and quantity sold Q of a certain commodity: P=Po +-px [This represents a linear equation with positi

The fundamental formula for such problems is where d represents the distance covered when moving at a speed s during a length of time t. This formula can be solved for s or t (if d is in miles and t is in hours, then s has the units of miles/hour) Smith bicycled 45 miles going east from Durango, and Jones bicycled 7

See Attached for algebra equations