Algebra : Lowest Terms, Solve for X and Word Problems (10 Problems)
Please see the attached file for the fully formatted problems.
Please see the attached file for the fully formatted problems.
Modern Algebra Group Theory (XXVII) Subgroups of a Group Cosets of Su
Modern Algebra Group Theory (XXVII) Subgroups of a Group Cosets of S
The minimum value of z = 5x + 15y, subject to 4x + 3y > 72 6x + 10y < 174 x > 0, y > 0 occurs at: A. (0, 17.4) B. (9, 12) C. (18, 0) D. (29,0)
Select the point which is in the feasible region of the system of inequalities: 4x + y < 8 2x + 5y < 18 x > 0, y > 0 A. (2,4) B. (-1,2) C. (1,3) D. (4,1)
Modern Algebra Logic (XXII) Tautologies The Laws of Logic
Modern Algebra Logic (XIX) Tautologies The Laws of Logic
Modern Algebra Logic (XV) Tautologies The Laws of Logic
Modern Algebra Logic (X) Tautologies The Laws of Logic The Basic Logical Laws The Laws of Addition (I) To prove that p => pVq is a tautology. The fully formatted problem is in the attached file.
1. Convert the following equations into logarithmic form: a. 9 = 4^x b. 3 = 6^y c. 5 = 7^y d. X = 9^y 2. Convert the following equations into exponential form: a. X = log36 b. -5 = log3Y c. X= log4Y d. 1000 = log5Z 3. Simplify the following expressions: a. X5 * X7 b. Z10/Z11
The product of two consecutive even numbers is 1088. Find the numbers.
17. Solve the equation 3 x^2 + 5x = -2 for x. 18. Solve the equations x^2 + 5x + 2 = 0 for x.
Find inverse f(x)= 1/X-1 Convert to an expression involving exponent Loga 4=3 Laws of exponents. 5^3 /5^(3-1) Solve x^3 -6x^2 +8x=0 Find x, y intercepts 2x^2-4x+1
4^(1-2x) =2^(1-2x) 4^x-2^x=0 4^x=8^x
Given an example of squared roots: Let x be a real number such that x > 0. Then there is a positive real number y such that y2 = y?y = x Let S = {s є R: s>0 and s2<x} The S is not empty since x/2 є S, if x<2 and 1 є S otherwise. S is also bounded above since, x+1 is an upper bound for S. Let y be the l
1. Show that if A and > are denumerable disjoint sets then A u > is denumerable 2. Show that every set of cardinalty c contains a denumerable subset 3. Show by induction that 6 divides n^3 - n for all n in N
If m and n are odd integers with n>1, given the sum of n consecutive odd integers, starting with m, is 18,079. Find all possible values of m and n.
Prove that lebesque measurable sets in R^n form sigma algebra. ( Please use basic definition when you talk about the lebesgue measurable sets in R^n). The def we have is: (k_1)^(m)={ -1/2 + m_i =< x_i =< 1/2+ m} m=(m_1,m_2,...,m_n) m belongs to z^d Now we say that A in R^n is Lebesque measurable set in R^n if
Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If Pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?
Janet drove 120 miles at x mph before 6:00 a.m. After 6:00 a.m., she increased her speed by 5 mph and drove 195 additional miles. Write a rational expression for her total traveling time. Evaluate the expression for x = 60.
A point x of a measurable subset A of the reals is called a density point if m( A intersection [x-h, x+h] ) / 2h goes to 1 as h goes to 0 where m is the Lebesgue measure. Prove that if A is a set of positive, finite Lebesgue measure, then almost every point of A is a density point. I would like to note that I can use
Modern Algebra Set Theory (XVIII) Laws of Algebra of Sets
Thank you for taking the time to look at my problem. I cannot make math symbols, thus, I will let ^ denote "raised to the power." For example, a^2 is a squared or a "raised to the power" of 2. Also, I will use the symbol * to denote multiplication. For example, 2*7=14. Okay, here is my problem: Show that the language L={ a
5. Let (A, *) be an algebraic structure, and suppose that A is associative, has an identity, e, and that a Є A has an inverse. Show that if ax = ay, then x = y. 8. Let G be a finite group with identity e, and let . Show that there is an n Є N with a^n = e (Hint: Consider the set {e, a, a2 , ..., am }, where m
___ __ _ ___ 5√18 - √12 + 3√2 - 5√75 ___ ___ √27 - √3
12. Simplify: 10 t^6 3 ---- - --- -:- ---- t^2 2 t^5 13. Add: 4 7 ---- + ---- X x^2 14. Sandra can paint a kitchen in 5 hours and James can paint the same kitchen in 6 hours. How long would it take them working toget
Find the two singular points and the residue for each : exp(tz)/(z2 + 2z +17) (t>0) Rearranging equations (1st attachment)
Show that 2x^5-10x+5 is irreducible over Q using Eisenstein's Criteria and show it is not solvable by radicals using typical results/theorems in Galois Theory/Solvability of Radicals in Galois Theory.
A football player attempts a field goal by kicking the football. The ball follows the path modelled by the equation h=-4.9t2(means t squared)+10t+3, where h is the height of the ball above the ground in metres, and t is the time sincethe ball was kicked in seconds. 1. Describe the path of the ball. 2. After how many sec
Let an, n>= 1 be an increasing sequence of positive real numbers. Prove that 1/a1 + 2/(a1 + a2) + .... + n/(a1 +... + an) < 4(1/a1 + 1/a2 + ... + 1/an) Can anything be said about the constant 4? ---