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Basic Algebra

Algebra : Solving Equations, Word Problems and Base of Trapezoid

Please see the attached file for the fully formatted problems. 1.12x-6=11x 2. 5x+8+3x--x+5=6x-3 3. -3x=27 4. 5. Business and finance-Jose has savings accounts for each of his five children. They contain $215, $156, $318, $75, and $25. Find the median and the mean amount of money per account. 6. 9x+7=5x-3

Proofs by induction

I'm having a hard time comprehending how to write proofs by induction. I'm looking for answers to these problems so that I may have a better understanding of how they are done. --- All problems need to be proved using induction in proofs. 1. Consider n infinitely long straight lines, none of which are parallel and no th

Lagrangian for an Harmonic Oscillator

Write the Lagrangian for a one-dimensional particle moving along the x-axis and subject to a force F=-kx (with k possitive). Find the lagrange eqn of the motion and solve it. lagrange eqn 0=mX+Kx where X is the second erv with respect to T

Microsoft Word Equation

(See attached file for full problem description) --- 1. Access Microsoft Word. 2. To start the Equation Editor, use the menu choice Insert / Object; under the Create New tab, select Microsoft Equation 3.0. ? If you have Word's Equation Editor loaded, you will get a toolbar that has the graphics templates needed to create

Radicals (25 Problems)

Please see the attached file for the fully formatted problems. MAT 107 Week 6 Chapter 9 Cumulative Test 1. Determine whether is rational or irrational or both or none of the choices. A) Irrational B) Rational C) Both A and B D) None of the choices 2. Simplify. Assume all variables represent positi

Writing Equations from Formulas

An equation derived from an a.c. bridge circuit is given by Components R3,R4,C1 and C4 have known values. Determine expressions for Rx and Cx in terms of the known components. keywords: formulae

A town of population size 100,000 has 3 newspapers...

A town of population size 100,000 has 3 newspapers: A, B, and C. The proportion of people who read these people are as follows; Newspaper A: 25% Newspaper B: 27% Newspaper C: 33% Newspaper A and B: 12% Newspaper A and C: 8% Newspaper B and C: 10% Newspaper A and B and C: 5% (a) find the number of peopl

A system is composed of 5 components...

A system is composed of 5 components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector: (x_1, x_2, x_3, x_4, x_5) where x_i (note, the subscript is the letter " i ", not 1)

Algebra questions and word problems

(See attached file for full problem description) --- 5y -7 + y=7y + 21 -5y Clear fractions or decimals first. x - + x = + x 0.96y - 0.79 = 0.21y + 0.46 5(t + 3) + 9 = 3(t-2) + 6 13 - (2c + 2) = 2(c + 2) + 3c 46. 112 Ax + By = c, for y The number of calories K need

Algebra Calculator Approximation

(See attached file for full problem description with proper symbols) 75. Jennifer's calculator gives a decimal approximation for and that approximation is promptly squared, the result is 2. Yet, when that same approximation is entered by hand and then squared, the result is not exactly 2. Why do you suppose this happens?

Answer the following questions/provide detailed answers and show work

Mathematics, Algebra Year 2 Please see attachment for additional questionaires. Please ask DR> SHARMA to handle this. Thanks! -------------------------------------------------------------------------------- Q # 4. The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is rel

Advantage of rational exponents over the radical sign.

Q # 1. While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign. See attached for Q # 2: Using the quadratic

Sharpness of a Bound

Why is the sharpness of the bound in (a) [(n-1)/2]'=1/2.? What does this mean: sharpness?

Graph Theory : Connected Graphs and Disconnected Graphs

Using the theorems from Graph and Digraphs 4ed by G. Chartrand and L. Lesniak: 1 - (a) Let G a graph of order n such that deg v greater than or equal to (n-1)/2 for every v element of V(G). Prove that G is connected. (b) Examine the sharpness of the bound in (a). 2 - Prove the every graph G has a path of length sigma

Simplifying Expressions Presented

Remove Parentheses and simplify 1. (-8x + 5y - 12) - 6(2x - 4y -10) 2. [6(x + 4) - 12] - [5(x-8) + 14] 3 2 4 + 10 * 20 + 8 - 23 * it means dot but I couldn't fit on key. 3. 4 * (6 + 8)/(4 + 3) 4. -32 - 8 divide 4 - (-2) 2 3

Solving Equations by Substituting Values

Substitute t find values of the expressions in each of the following applied problems. 1. the simple interest I on a principal of P dollars at interest rate r for time t, in years, is given by I=Prt. Find the simple interest on a principal of $4800 at 9% for 2 years. I know that I would use the calculation as 9%= 0.09 2.

Nestle has two European manufacturing plants...

(See attached file for full problem description) Problem 11 Nestle has two European manufacturing plants (A and B) which produce 900000 and 1000000 pounds of chocolate per month. They distribute this product through three wholesalers (1, 2, and 3). For September, the wholesale demand for product is 500000, 8500

Dynamic Problem of a Consumer / Investor

10. Consider the Dynamic Problem of a Consumer/Investor: .... s.t. at = ? ... where ct is consumption at time t, at is assets at the beginning of period t; and the gross interest rate R > 1 are given. (a) Write down the above sequence problem as a functional equation problem. Which variable is the state? (b) Assuming the pr

Area

What is the area of the shaded region between the two squares One smaller square is inside a larger square. The remaining open area is the shaded region. What is the area of this shaded region? smaller square: each side is 3.2cm larger square: each side is 9.5cm

Equations

SOLVE THE EQUATION IF POSSIBLE 1. 2 + X = 8 2. 19 = a - 4 3. -3y = -8 4. x/4 = 5 5. 17 = 5 - 3p 6. -3/4x - 2 = -8 7. 5/3(9 - w) = 10 8. -3(x - 2) = x 9. -5r - 6 + 4r = -r +2 10. -4y - (5y + 6) + -7y + 3 SOLVE THE EQUATION. ROUND THE RESULT TO THE NEAREST HUNDREDTH 11. 13.2X + 4.3 = 2(2.7X - 3.6) 12. -4(2.5X + 8.