1. The overall efficiency of a gas turbine can be calculated from the formula where is the small stage efficiency and , where r is the expansion pressure ratio and is the ratio of the specific heats. Given that the overall efficiency is 76%, r = 4.6 and that y = 1.333 , calculate the value of the small-stage efficiency
(iv) Prove that the conjugacy classes in A5 have sizes 1, 12, 12, 15, and 20.
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.
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.
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
8. Find all solutions to the quadratic congruences, if they exist. (a) x2 + x + 1 ≡ 0 (mod 7). (b) x2 ≡ 55 (mod 179)
Classify every integer a, 1<=a<11 as to whether it is a quadratic residue or nonresidue modulo 11.
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.
(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
What are the quadratic residues modulo 19?
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.
What is the formula for measuring sound, and pick a specific sound, give the decibels of the sound and explain what this measurement means.
Solve dy/dx = -2 -y+y^2 knowing that y1= 2 is a solution.
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
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
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 for the
Consider the congruence ax ≡ b mod m When (a,m)=d. Show that ax ≡ b mod m has a solution if and only if d | b.
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.
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=
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
4 σ (-2)^i i=1 See the attachment.
Please see the attached file for the fully formatted problems.
5 σ (8i-1) i=1 See the attached file.
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
5x-3y=13 4x-3y=11
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? 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 for the
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
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
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?
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)