** Please see the attached file for the complete problem description ** Need help with attached problems Let p an odd prime, show that either p == 1 mod 4 or p == 3 mod 4. Show that no prime of the form 4n + 3 can be written as a2 + b2 for some integers a and b. Show that 17 is not prime in J[i], by finding a factorizati
In using the factoring method of solving quadratic equations, we put it in the form: (x+a)(x+b) = 0, where a and b are two constants (think of them as two `numbers'). If the right-hand side of this equation is not zero (let us say, another constant "c"), do you think it can be solved? If so, how? If not, why not?
Please help with my review class. This is supposed to be elementary Algebra, but I am having a hard time understanding it. Please help me to understand better and if are able to help please explain so that I can understand it. Thank you.
Order the expressions by choosing Less than, greater than or equal to = 8^-2 is ? to (1/8)^-1 (1/8)^-1 is ? to (1/8)^-2 (1/8)^-1 is ? to 8^-1 is ? choose less than, greater than or equal to
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $75. For one performance, 20 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1,900. What was the price of each kind of ticket?
1. Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds? At what round the tournament canâ??t be played? Chart the decay rate. 2. In one locality, the H1N1 flu (aka swine flu) sp
Lina has 24 square ceramic tiles, each with 1 inch sides she wants to arrange them in a rectangular design on a tabletop. What are the possible dimensions of the design? There were half as many blue jays as chickadees at a bird feeder. There were fifteen more chikadees than finches. If there were 18 blue jays how many of chic
A land trust has received a $130,000 donation to save flying squirrels. They have identified five different areas to target as ecological reserves for flying squirrels. Three of the projects are in Oregon and two are in Washington. Each of the Oregon reserves would require a $70,000 investment and would each provide habitat f
(a) Use the quadratic formula to determine the roots of the equation x^2 - 2x = 2. Estimate the roots to the nearest tenth. (b) Determine the vertex and use the information obtained in part (a) to sketch the graph of y = x2 - 2x - 2.
Chalkboard Activity Please pick 5 questions from the list below. Solve those 5 problems, showing your work, and submit them to your Individual Forum. ________________________________________ Problem Set 1 (choose one) Solve for x or y - 1. 2x+10= -5+x 2. 13-3+9x=10x 3. 2(10-2x)= -3
The profit function for the Recklus Hang gliding Service is P(x) = -0.4x^2 + fx - m, where f represents the set up fee for a customer's daily excursion and m represents the monthly hanger rental. Also, P represents the monthly profit in dollars of the small business where x is the number of flight excursions facilitated in that
Assuming that all variables represent positive real numbers rewrite the following in simplified radical form square root of 20w^12 Can you also tell me how to write questions in this forum when using radicals and square roots and to the power of?
If we use the product rule to simplify (-1)^(1/2) * (-1)^(1/2), we get: a) (-1)^(1/2) * (-1)^(1/2) = (-1)^1 = -1 If we use the power of a product rule, we get b) (-1)^(1/2) * (-1)^(1/2) = (-1. -1)^(1/2) = 1^(1/2) = 1. Which of these computations is incorrect? Please explain.
1. On a trip to the supermarket you buy an economy pack of Soft-4-U toilet tissue. At home you read this information on the side of the pack: 12 rolls 2 ply tissue Average 225 sheets per roll Sheet size 125 mm x 110 mm This sets you thinking about the size of the toilet rolls before you unpack them. (a) Assumin
Comparing wind chills. Use the formula from Exercise 107 to determine who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind. (this is the formula from exercise 107) W=91.4 -(10.5+6.7(radical symbol)v-0.45v)(457-5t)/110 In the above formula I have wri
Let R={a+b(sqrt(2)) | a, bâ?? Z}. (a): Show that R is a ring. (b): Let M = {a+b(sqrt(2)) â?? R | 5|a and 5|b}. Show that M is a maximal ideal of R.
A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 102 pounds requires 153 milligrams of medicine. What is the weight of a patient who requires 151.5 milligrams of medicine? Please show the process of solving it.
We need to program a robot that will make the robot autonomous in a restrained environment, like a simple maze. For example, if the robot is to enter on the left side it must find its way to the right side without ever touching the walls. The robot has a sonar sensor to allow it to see. The program that allows it to traverse
Which expression is the LCD for (3x-1) over (22 times 3 times x(x+2)) and (2x+7) over (2 times 32 times x(x+2)^2) a) 2 * 3 * x(x+ 2) b) 36x(x + 2) c) 36x2(x + 2)^2 d) 23 * 33x3(x + 2)^2
The amazing Amber. Amber has been amazing her friends with a math trick. Amber has a friend select a three-digit number and reverse the digits. The friend then finds the difference of the two numbers and reads the first two digits of the difference (from left to right). Amber can always tell the last digit of the difference. E
1. Convert the following equations into logarithmic form: a. 2 = 6x b. 7 = 6y c. 9 = 3y d. X = 8y 2. Convert the following equations into exponential form: a. X = log54 b. 7 = log6Y c. X= log8Y d. 90 = log4Z 3. Simplify the following expressions: a. X
Evaluate. ((-1)2 - 3)3 + 5 · (-5) Simplify the following expression: When converting from Fahrenheit degrees to Celsius degrees , a well known formula is used: . Solve for . Simplify. Simplify. Simplify. Write your answer without parentheses. Rewrite the following without an exponen
Let beta be the Galois imaginary associated with the irreducible polynomial x^3 + x^2 + 1 over mod2. Solve the (systems of simultaneous) equations in GF(2, x^3+x^2+1). 1) (1+ beta)x + beta = 1 + beta^2 2) x + y = beta and x + beta*y = 1
Which of the following products is not equivalent to the others? Explain your answer. a) (2x-4)(x+3) b) (x-2)(2x+6) c) 2(x-2)(x+3) d) (2x-4)(2x+6) Please explain (in very elementary terms) and how you calculated the answer. Thank you. I need step by step to REALLY understand.
A number of high school/college algebra questions and solutions including factorization and solving simulataneous equations, 11 questions in total
The number of bacteria present in a certain culture at time t (measured in hours) is given by P(t)=P0* 2^(0.2t). Time t=0 corresponds to 8.00 A.M. on a particular day and P0 = 2000 is the initial number of bacteria. Find the number of bacteria present at noon the same day. How long does it take to have 20,000 bacteria pr
1) Find the local maximum and minimum values and saddle point(s). Here is the function: f(x,y) = x^3y + 12x^2 -8y 2) Use Lagrange multiplier to find the extreme values (i.e. the max and min) of: f(x,y) = 4x+6y subjected to the constraint x^2 + y^2 = 13
Application Assignment #4 (Quadratic Equations) Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Part 1 Mrs. Thom
Please see the attachment for details. Questions 1-3: Simplify Question 4: Perform Computations/Scientific Notations Questions 5,6: Evaluate Polynomials Questions 7,8: Find Product Question 9: Divide a Polynomial by a Monomial and find the Quotients Question 10: Find Quotient and Remainder.
Please give detailed explanation along with the computation. Light Bright Warehouse sells boxes of high efficiency light bulbs ($5 box) and switch plates ($10 each). In May, total sales were $42000. Customers bought 5 times as many boxes of light bulbs as switch plates. How many of each did Light Bright Warehouse sell?