Question: 12 people are choosing a President, Vice President, and Secretary from their ranks. How many ways are there to do this? Hi, I think I'm just over complicating this question in my mind, but I am not sure how to answer it. What I typed above is exactly how it reads word for word)
Consider solving equation x = 3/(1+x^4) using bisection method. a) Find an interval, [a,b], to start the iteration. b) Estimate at least how many iterations are needed to find a solution within an accuracy of 10^-6.
Solution to the problem 1(b) only in the attached file, please. Let f(x) = sin x b) Let x_0 = 0. Calculate f(0.1), f(1.0), and f(pi/2) to 3 converging decimal points in each case and compare with the exact answers.
Can you please assist me with formulas for the following? 1. Formula needed for: A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the same station traveling in the same direction at 52 km/h. How long does it takes the passenger train to catch up to the freight train? 2. Desc
Hello, I need help with proving the following statement: "A prime p is said to be a Sophie Germain prime if n = 2p+1 is also prime. Prove that a prime p is a Sophie Germain prime if and only if 2^(n-1) = 1 (mod n)." Thank you for your time.
1. During a road trip, Tonya drove one-third the distance that Lana drove. Mark drove 15 miles more than Lana. The total distance they drove on the trip was 491. How many miles did each person drive? 2. A business wholesaler wants to create a new punch. He will mix fruit juice worth 2.00 per gallon and rum worth 7.00 per gall
Show that |(frac{f_(n+1)}{f_n}) - phi| = frac{1}{(f_n)(phi^{n+1})} and lim_{n --> infty} frac{f_{n+1}}{f_n} = phi, where phi is the Golden Ration and is the unique positive root of phi^2 - phi - 1 = 0. For some discussion on this question, see http://math.stackexchange.com/questions/106049/another-way-to-go-about-provin
Discuss the validity of each statement. If the statement is always true, explain why. If not, give a counter example. 1. Every polynomial function of odd degree is one-to-one. 2. The graph of a one-to-one function intersects each vertical line exactly once. 3. The inverse of f(x) = x^2 is g(x) = sqrt of x
Radium 226 gives half-life exponentially quantity of a metal with a half life of 1600 years, If you start with one kilogram of Radium how much will you have in 1000 years? How much after 10,000 years?
Use the approximation doubling formula (rule of 70) and discuss rather the formula is valid for the following case; "If oil consumption is increasing at a rate of 2.2 per year what is its doubling time? By what factor will oil consumption increase in a decade?"
Please assess this statement. A small town that grows exponentially can become a large city in just a few decades. Option 1) Does not make sense because exponential growth leads to repeated halvings, making the population decrease rapidly. Option 2) Does not make sense because growth cannot continue indefinitely so the
Use a growth rate of 1.5% to predict the population in 2073 of a country that in the year 2006 had a population of 300 million. Use the approximate doubling time formula. (Round the final answer to the nearest whole number as needed. Round the doubling time to the nearest year as needed.)
Find the induced metric of the sphere S^2 in stereographic projection coordinates (M, N), where M = - x/(z-1), N = -y/(z-1), with x^2+y^2+z^2=1.
1. Using only whole numbers, write as many multiplications equations as possible with 12 as the product. 2. Chance wrote four division equations with 6 as the quotient. What could have been the four division equations that he wrote? 3. For the next two problems tell what kind of situation is described, then write an equ
Analyze the following statement and decide whether it makes sense or not: A toxic chemical decays with a half life of 7 years, so half of it will be gone 7 years from now and the other half seven years after that. Will the toxic chemical decay with a factor of 2, .25, or .5?
1. a) Transpose the following formula to make v the subject: f = uv/(u + v) b) Solve the folowing equation to find the value of x: (3.4)^2x+3 = 8.5 c) In the formula theta = Ve^(-Rt/L), the value of theta = 58, V = 255, R = 0.1 and L = 0.5. Find the corresponding value of t.
Problem solving and critical thinking is indispensable to every area of our lives. There was a great deal of critical thinking and problem solving presented this term involving working Algebra problems and their applications to everyday life. How will you take these critical thinking skills to the real world and become a mo
Can you help? Water fills a tank at a rate of 150 litres during the first hour, 350 litres during the second hour, 550 litres during the third hour and so on. Find the number of hours necessary to fill a rectangular tank 16m x 9m x 9m.
To illustrate: b^xT - b^xA [approximately equal to] (log b)b^xT (x_T - x_A) Rel(b^xA) [approximately equal to] (log b)x_T Rel(x_A)(*) k = (log b)x_T (**) [Please see the attachment for the formatted question] Compare pi^100 to pi^100.1. Calculate these directly as accurately as you can. Then calculate Rel(pi^100.1)
Use each of these numbers exactly one time to write an expression equal to 9. You may go through many steps to arrive at a solution, but use what you know about order of operations to write your answer as a single expression. Then find at least one more way to do it with the same numbers, again writing your answers as just a s
a) Arrange the function (1.5)^n, n^100, (log n)^3, (n^1/2)*log n, 10^n, (n!)^2, n^99 +n98 in a list so that each function is big-O of the next function. b) Give big-O estimate for each of these functions. For the function g in your estimate f(x) is O(g(x)), use a simple function g of smallest order. i) (n^3 + (n^2)*log n) *
Identify whether the following study is an observational study or an experiment. If its an experiment identify the control group and treatment group and discuss whether a single or double blinding is necessary. If the study is observational state whether it is a case control study and if so identify cases and controls. A do
Cost analysis: A small company manufactures picnic tables. The weekly fixed cost is $1,200 and the variable cost is $45 per table. Find the total daily cost of producing X picnic tables. How many picnic tables can be produced for a total weekly cost of $4,800? Please show all work in algebra form.
Rafael is filling up a 150 gallon tank. He is pouring the water at rate 2.5 gallons per minute. a) Write an expression that represents how many gallons Rafael has poured since he began. b) Write an equation that represents how long it will take for the tank to be 1/2 full. c) Solve the equation in part c and say what your a
During a marathon, Kim our champion cyclist is having struggles. At the halfway checkpoint she is behind the leader, Allison by 10 miles. Kim still has a lot of energy left and pacing herself at a constant 15 miles per hour. Allison on the other hand, is getting tired and has slowed down to 11 miles per hour. a) Write an exp
You identified when these functions will grow and when they will decay. However, can you explain why this is true based on our exponential multiplication? Also, what are some of the other characteristics like the x and y intercepts? Thanks.
Identify the important characteristics of an exponential function. Explain the difference between the graph of an exponential growth function and an exponential decay function and give an example of each type of function.
A) What is the square root property and what is it used for? In what form should an equation be in order to use the square root property? When should the square root property be used instead of factoring? Use the following to explain. 9x^2-12x+4=27
A) What is the square root property and what is it used for? In what form should an equation be in order to use the square root property? When should the square root property be used instead of factoring? Use the following as an example. 25(y-10)^2 = 36
Using the internet, locate a web site that has additional examples on intermediate algebra that interest you. Use the search words "'rational expressions applications."