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Algebra

Estimating with e

Which of the following expressions would help estimate Please see attachment

Cryptography : Diffie Helman Key Exchange

Alice and Bob want to do a Diffie-Helman Key Exhange. The public base is 5 and the public modulus is 11. Suppose Alice chooses a = 2 and Bob Chooses b=3. What common key did they calculate? What does the security of the Diffie Helman Key exhange depend upon?

Applications of Linear Equations : Word Problem

A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reason, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved i

Word problem involving distance, time, speed calculations

The tortoise and the hare finally have their long awaited rematch. The tortoise gets a 1000 foot lead and runs at 9 inches per second. The hare begins at the starting line and runs at a rate of 6 feet per second. There is also a rat who starts 1200 feet ahead of the Hare and runs back towards the starting line at a rate of 2 fee

How to Arrange a Meeting Point So Travel Distance is Minimized

Five children live in the town of Gridley which is represented by a grid of streets. On the x axis are the streets A, B and so on until Q. On the Y axis, the streets go from descending order from 15th Avenue down to 1st Avenue (in other words as you go up the Y axis, the avenues go down). So at the origin would be the intersecti

Sigma-Algebra : Proof

We consider the sigma-algebra on the set of real numbers R which is defined by all singletons. Prove that this sigma-algebra is the same as... (Please see the attachment for the full question.) We consider the sigma-algebra on the set of real numbers R which is defined by all singletons. Prove that this sigma-algebra is the

Sigma-Algebra Proper Symbols

Please see the attached file for full problem description with proper symbols. --- Let A be a sigma-algebra on Omega, and let B be an element of A. We denote A|B = A intersection B A E A. 1. Prove that A|B is a sigma-algebra on B. 2. Is is still true if B is not in A? Please prove the answer.

Word Problems : Relative Speed of Swimmers

(#48) Two swimmers start at opposite ends of a pool 89 feet long. One person swims at the rate of 19 feet per minute and the other swims at a rate of 53 feet per minute. How many times will they meet in 33 minutes? (#33) Two swimmers start at opposite ends of a 90-foot pool. One swims 30 feet per minute and the other at 20

Business Math : Revenue and Total Cost

The Revenue and Total Cost eqations for a glove company are R(x)=35x and C(x)=0.25x^2 + 30.5x + 10, where x is in hundreds of gloves and R(x) and C(x) are in thousands of dollars. What is the Revenue and production Cost for 700 gloves, the profit for this problem, the number of gloves that will produce the maximum profit, the

Algorithms : Finding integer values of x and y

A store offers 2 models of scooter, a $29 model and a $33 one. An order was placed with a warehouse which totalled $2490 but the details had been lost. Can you tell the order clerk howl many of each model to send to the store? I have been applying algorithm to equations and am trying to solve integer values for this problem.

Combinations : Problem Solving With Dice

Please see the attached file for the fully formatted problems. Question1: How many dots at the outer sides of the dice. Given view is from the top of these four dice? Question2: In the newly formed shaped below do you think answer is the same or different from above? What does your intuition say without investigating? Q

Discriminant and graphs

PART ONE: ATTACHED PART TWO: what type of graph is: x^2 + 3y^2 - 4x + 6y = -1 A) parabola B) circle C) ellipse D) hyperbola PART THREE: Find the value of the discriminant of the equation. Describe the roots completely. Do not solve. 3x^2 + 4x - 5 = 0 A) 31; 2 real, irrational root

Real-World Problem

In a real-world problem, what are some typical action items that you may need to do in order to get to the point having an equation to solve?

Sequential Ambiguity Elements

On Monday, May 26th/03, I posted the following question to which a solution was provided by Remus Nicoara, PhD (IP). I thank Remus for his assistance and solution. I'm interested in knowing what the solution would look like if for each term, the y elements are randomly determined. Original Question In a specific sequence t

Construction math

What is the area of a roof on a 30 foot by 40 foot house with 12" rake O.H. (Over Hang), 5/12 slope? Please show problem in detail.