I am having trouble with the type of question listed below and any help would be greatly appreciated. I have attached a diagram also. A block P of mass m is attached to three springs whose other ends are attached to fixed points A, B and C. I have listed the stiffnesses of the three springs and their natural lengths below. Th
I'm currently working on this problem and I know that P(1) = 0, P(2) = 1, P(3) = 3, P(4) = 6 so P(i+1) = P(i) + i but I'm kind of confused how to structure it... Here is the complete question: Consider a 1-player game using a bag of n marbles. The player starts by dividing the bag of marbles into two groups (so that each g
Using the approximation e^x=1+x for small x, find a simple algebraic relationship between FKM(t) and FNA(t) . Comment briefly on the relationship you have found.
Please see the attached file for the complete solution. (1) The table gives the values of the functions f and g. Use the table to evaluate the expressions below. If there is not enough information given, state the information you would need to evaluate the expression. x 0 1 2 3 4 5 3 5 0 2 1 4 2 7 1 5 3 0 a.] g(f
The zero factor property: A) p^2 - p = 42 B) 16x - x^3 = 0 C) (x + 2)(x + 3) = 20 Solve each equation for y. Assume a and b are positive numbers: D) y^2 + ay + by + ab = 0 Applications: E) Tennis court dimensions. In singles competition, each player plays on a rectangular area of 117 square yards.
Given (x+3)(x-2)=12 Jerry did the following: X+3=12 X-2=12 X=9 X=14 x={9,14} Why is Jerry's solution incorrect and how would you explain his error to him so that he could redo the problem correctly? [Use words and math sentences to give a clear explanation] You must explain: 1. The flaw in his reasoning.
Let x be an element of the set of extended real numbers, and prove that if a sequence of extended real numbers is such that each of its subsequences has a subsequence that converges to x, then that sequence (itself) converges to x.
Solving equations: Solve the linear expession, show your work and check your answer #26. 5x + 7 = 0 #32. 14 = -5x - 21 Solving a variable: Solve each formula for the specified variable #18. d = rt for r The language of functions: For each formula express y as a function of x. #22. y - x = 6 Solve each compound ineq
Factor each polynomial completely 1. 2a^4 - 32 2. 2m^3 - 250n^3 Factor each polynomial 3. 2y^2 - 17y + 21 Factoring by substitution 4. x^13 - 6x^7 + 9x Factor each polynomial completely. The variables used in exponents represent positive integers. #66 -4b^7 + 4b^4 + 3b How do you work out each problem, I
Problem 1. Prove that Z / <n> ≈ Z_n , where n ∈ Z and n > 1. Problem 2. Prove that θ : g --> a^{-1} ga for a fixed a ∈ G and all g ∈ G defines an automorphism of G. Problem 3. Prove if H is the only subgroup of order n in a group G, then H is a normal subgroup of G. ** Please see the attachment for formatted q
1. Define (C_G)(H) = {g is a number in G: g h = h g for all h is a number in H), where H is a subgroup of the group G. Prove that (C_G)(H) is a subgroup of G. Note: (C_G)(H) is called the centralizer of H in G. 2. Define (N_G)(H) = {g is a number in G: gH = Hg], where H is a subgroup of the Group G. Prove that (N_G)(H) is a s
1. Prove that is a is a number in G, a group, and ab = b for some b of G, then a = e, the identity element of the group. 2. Consider the set of polynomials with real coefficients. Define two elements of this set to be related if their derivatives are equal. Prove that this defines an equivalence relation. 3. Let H be a s
Please refer to the attached document for the full problem set. 20. Consider the polynomial P(x), shown in both standard form and factored form. P(x) = (1/10)x^4 - (1/2)x^2 + (41/10)x - 3 = (1/10)(x+3)(x-1)(x-2)(x-5) (a) Which sketch illustrates the end of behaviour of the polynomial function? (b) State the y-intercept.
An ordered partition of [n]={1,...,n} is a partition (B_1,...B_k), where the order of the blocks matter. (Thus ({1,2},{3}) and ({3},{1,2}) are different ordered partitions of [3].) Let OS(n,3) be the numbered partitions of [n] into 3 nonempty blocks. Thus OS(n,3)=3! S(n,3). a) Find an explicit formula for the exponential gene
Definition Let me define the influence of an independent variable on the dependent variable as the change in the dependent variable due to the independent variable. Background Suppose that your company has a nationwide hiring program, and you have determined with data consisting of SALES ($M) in the first year on the job, u
Abstracts should not be duplicates of the question. Show that if n is a positive integer, then [see the attached file for the equation) a) using a combinatorial argument. b) by algebraic manipulation.
Questions: 1. A hockey puck is hit on a frozen lake and starts moving with a speed of 13.1 m/s. Five seconds later, its speed is 6.9 m/s. What is its average acceleration? The acceleration of gravity is 9.8 m/s. Answer in units of m/s/s. 2. What is the average value of the coefficient of kinetic friction between puck and ice
Hi, I need some assistance completing the following algebra questions. Questions: 1. Find the amount of interest and monthly payment for the loan. Purchase a car for $42,500 at 2.9% add-on rate for 5 years. (round your answers to the nearest cents). 2. Convert the following credit card rate to the APR. Nebraska, 0.03014% d
Write a statement reflecting on your appreciation for algebra and how it can be applied to a real situation to your chosen career (accounting & finance). Support your statement with examples of applications.
Hi, I need assistance answering the following question: An athlete swings a 2.26 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.59 m at an angular speed of 0.56 rev/s. What is the tangential speed of the ball? Answer in units of m/s.
I need a suitable way to solve these equations with algebra only, not by charts or diagram. - 42.45= 1516 ln ( R) + 5.307 *10^-3 / R , I want to get R value. T^4 = .564 - .876T , I want to get T value.
Question 1: The capacitance between two parallel wires in space is given by the formula C = 1 / {3.6 ln [(d-r)/r] where d is the spacing between wire centers in centimeters, r is the wire radius in centimeters, and C is in picofarads per centimeter of wire length. Find the capacitance per meter of length for two 0.2-cm-rad
I am taking an advanced math course next semester that will involve using summation notation extensively and am somewhat anxious about it. Could you give me a primer on using Σ single, ΣΣ double, and triple sums with examples?
Use mathematical induction to show that a rectangular checkerboard with an even number of cells and two cells missing, one white and one black, can be covered by dominoes.
The attenuation constant of a transmission line, measured in nepers, is defined as the natural logarithm of the ratio of the input current to the line to the output current from the line. If the input current is 240 mA, what is the output current if the line has a 0.35-neper loss? (1) 55 mA (2) 84 mA (3) 169 mA (4) 265 mA
A city reported 49,779 births in a year with a population of about 2.6 million people. City B reported 13,892 births in a year with a population of about 1.3 million people. Assume that there are 365 days in a year. Use this data to answer a & b. A. How many people were born per day in city A? ____(round to nearest integer
Use multiplication, division, addition and subtraction and at least one set of parentheses to write an expression that simplifies to 7, 13, or 17. Do your work step by step and explain each step as you simplify the expression. Demonstrate the consequences of not using the proper order of operations by showing that other orders
1. Find the flaw with the following "prof" that a^n = 1 for all non negative integers n, whenever a is a nonzero real number. Basis Step: a^0 = 1 is true by the definition of a^0. Inductive Step: Assume that a^j = 1 for all non negative integers j with j <= k. Then note that a^(k+1) = (a^k*a^k)/(a^k-1) = 1*1/1 = 1
Using mathematical induction, prove or disprove that all checkerboards of these shapes can be completely covered using right triominoes whenever n is a positive integer. a) 3 x 2^n b) 6 x 2^n c) 3^n x 3^n d) 6^n x 6^n
What are the steps for calculating the correlation between two variables?