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    Algebra

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    Arithmetic and Geometric Series and Sequences

    Using the index "n" of the partial sums of a series as the domain, and the value of the corresponding partial sums of the series "Sn" as the range, is a series a function? Please include in your answer: - Which of the basic functions, (i.e. - linear, quadratic, rational, exponential), is related to the arithmetic series? -

    Arithmetic and Geometric Sequences and Series

    Please provide some guidance and references to develop the homework. Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any two consecutive terms? Answer: Show work in this space. b) Using the formula for the nth term of an arithmetic sequence,

    Fibonacci Series

    What is the connection between rabbit farming, sun-flowers and pine cones? Hint: It's related to "Fibonacci Series."

    'Together and Alone' Word Problems

    Winston can mow his dad's lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone? I know that I need to use a quadratic equations but I'm lost on which way to set it up?

    Solving equations, difference between relation and function

    Please see the attached file for full description Find all real or imaginary solutions to each equation: 98. X - 1 = 2x - 3 X + 2 x + 4 Find exact and approximate solutions to each problem 106. One on one. Find two positive real numbers that differ by 1 and have a product of 1. 115. Decathlon champion. For

    Linear Programming: Maximization and Transportation

    39. Max Z = $0.30x + $0.90y Subject to : 2x + 3.2y <= 160 4x + 2y <= 240 y <= 40 x, y >= 0. Solve for the quantities of x and y which will maximize Z. What is the value of the slack variable associated with constraint 2? 45. Consider the following transportation problem: 1 2 Supply 1 5 6 100

    Writing Equations from Word Problems

    12) You have exactly $537 to spend on parting gifts for your rich uncle's birthday party. You decide to get watches for the ladies (at $27.98 each), and beepers for the men (at $23.46 each). You know that the number of watches required will be 3 times as much as the number of beepers. How many of each item do you buy?

    Writing an Equation From a Word Problem

    The width of a rectangular playground is 2x - 5 feet, and the length is 3x + 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.

    Linear Relationships, Slope and Intercept

    1. The following data shows the relationship between the total average amount of student study time in an Online course and their corresponding average grades. Hours Studied 50 57 69 112 120 88 96 Grade 60 63.5 69.5 91 95 79 83 Is this relationship linear? Explain why or why not 2. Line 1 passes through the points

    Small Stage Efficiency of a Gas Turbine and Rearranging Equations

    6. The overall efficiency of a gas turbine can be calculated from the formula ..... where is the small stage efficiency and E =..., where r is the expansion pressure ratio and gamma is the ratio of the specific heats. Given that the overall efficiency nf is 76%, r = 4.6 and that y = 1.333, calculate the value of the small sta

    Solution Sets and Interval Notation

    Please see the attached file for the fully formatted problems. 4. Solve |4x - 7| > 11 and write set notation for the solution set. A. B. C. D. 5. For f(x) = x4 - x3 - 5, use the Intermediate Value Theorem to determine which interval contains a zero of f. A. Between 1 and 2 B. Between 2 and 3 C. B

    Quadratic Equations and Interval Notation

    1. Consider the quadratic function f(x) = - x2 + 8x - 10. Determine whether there is a maximum or minimum value and find that value. A. Minimum is - 6 B. Minimum is - 26 C. Maximum is - 26 D. Maximum is 6 2. Solve |9 - 2x| < 5 and write interval notation for the solution set. A. (2, 7) B. (- 7, -2) C. (-∞, -7

    Loudness of Sound

    The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear. Research how sound is measured. Include the following items in your posting: The formula for measuring sound. Pick a specific sound, give the decibels of

    Discriminants

    When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx +

    Discriminants

    When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx +

    Continuously Compounding Interest..

    1. A woman deposits $50,000 in a savings account with 4% continuously compounded interest. How many years must she wait until the balance has doubled? Use the Compounding continuously formula and show the steps involved in getting the solution. 2. True or false: The function " f(x) = 3^x " grows three times faster than the fu

    Solving Various Equations

    Solve each equation and problem below. 1. sqrt(1/5) + 4 = 14 2. sqrt(3a/2) - 1 =5 3. sqrt(8y) = 1/2 4. sqrt(3n) = 2/5 5. The square root of one fourth of a number is 6. Find the number. 6. sqrt(5k + 2) + 8 = 11 7. sqrt(7d - 9) = sqrt(2d + 21) 8. sqrt(x^2 + 3x) = 2 9. sqrt(3w + 10) - w = 0 10. When 11 is subtracted

    Annihilators and Ideals

    Let R be a commutative ring and let A be any subset of R. The annihilator of A, denoted by Ann(A), is the set {r in R:r(a)=0 for all a in A}. Show that Ann(A) is an ideal of R. See attached file for full problem description.