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    Algebra

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    Groups: Conjugacy Classes

    2.99 (iii) Show that there are two conjugacy classes of 5-cycles in A5, each of which has 12 elements. See the attached file.

    Finding the nth term and Sum of a Geometric Series

    Use the geometric sequence of numbers 1,1/2,1/4,1/8,.... to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Please round your answer to 4 decimals.

    Arithmetic Sequences

    1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,...to find the following: a) What is d, the difference between any 2 terms? Answer: Show work in this space. b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer: Show work in this space. c) Using the formula

    Quadratic congruences

    8. Find all solutions to the quadratic congruences, if they exist. (a) x2 + x + 1 ≡ 0 (mod 7). (b) x2 ≡ 55 (mod 179)

    Logarithmic scale and 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. A. The formula for measuring sound. B. Pick a specific sound, give the decibels of the sound, and explain what this measurement means.

    Problem Set

    (See attached file for full problem description with proper symbols) --- 1. Given that s = 1.59t(1-3v), obtain the value of v when s = 3.52 and t = 21.56. 2. If y = x , calculate the value of p given that y = 2.65 and x = 0.745. 3. If x = (1 + 1nr), evaluate r when x =0.34, P = 1.08 and

    Formula for Measuring Sound and the 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. Using web resources, and other course material, research how sound is measured. Include the following items in your posting: The formula for measuring sound.

    Formula for sound

    What is the formula for measuring sound, and pick a specific sound, give the decibels of the sound and explain what this measurement means.

    Writing and solving word problems.

    For example: 1. What amount is left after ____ time? Equation to solve Solution 2. How much time will you take it for there to be _____ (amount)? Equation to solve Steps to solve (requires the use of logs) Solution

    Scatter Plot

    Question 6: House cat owners invest a lot of time and expense to find just the right cat food for their finicky, spoiled and pampered pets. Some house cat owners believe that the reaction of the house cat, in terms of how much time passes between the serving of the food and the point at which the finicky, spoiled and pampered

    Fundamental Theorem of Arithmetic

    Please show complete solution so that I may understand the reasoning behind each step. I will need a thorough understanding to complete future assignments. See attached file for full problem description.

    Cruise Compound Interest

    The current cost of a cruise you wish to take in 6 years is $4,250.00. You expect it will increase by 4% annually. I can earn 5% on my savings. How much do I need to save at the end of each month so I can afford to take the cruise in six years? Note: I understand that I need to consider the future amount. Future amount=

    Exponential Growth Rates

    Consider the following disaggregation of carbon emissions: Carbon emissions(kg C/yr)= Population x (Energy(kJ/yr)/Person) x (Carbon (kgC)/Energy(kJ)) Using the following estimates for the United States and assuming that growth rates remain constant, Population (kJ/yr)/Per

    Parallel and perpendicular lines

    Are the following lines parallel, perpendicular, or neither? L1 with equation x - 7y = 35 L2 with equation 7x + y = 7 A) Parallel B) Perpendicular C) Neither

    Word problem

    In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive? (Please show steps) I'm trying to figure out what the steps would be to come to this conclusion. The problem says "220 more votes". I understand that (I think) to be +200, but

    Description of a Geometric Series

    3) Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27... to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 7 significant figures. c) Using the for

    Geometric sequence

    2) Use the geometric sequence of numbers 1, 3, 9, 27, ... to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the nth term of a geometric sequence, what is the 10th term? c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?

    Arithmetic series

    1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any 2 terms? b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms? d)

    Vectors, Subspaces and Dimensions

    2 a) Find a base for the subspace W of spanned by What is the dimension of W? b) Let 1) Show that W is a subspace of 2) Find a base for W 3) Determine the dimension of W c) Let 1) Determine whether Y is a base for , the vector space of all 2 x 2 matrices. d) Find the two values of a for