answer:The vertical asymptotes of g(x) occur when the denominator is equal to zero: {eq}2x^4+1 = 0{/eq} This equation has no real solutions, so there are NONE vertical asymptotes. The horizontal asymptotes of g(x) are found by taking the limits as x approaches infinity: {eq}lim_{xtoinfty} g(x) = lim_{xtoinfty} frac{3x-5}{2x^4+1} = 0{/eq} {eq}lim_{xto-infty} g(x) = lim_{xto-infty} frac{3x-5}{2x^4+1} = 0{/eq} Therefore, the horizontal asymptote is y = 0.

answer:True. Explanation: A threat of violence, depending on the circumstances, may be illegal and/or subject to civil actions or intervention, investigation, and removal of the individual(s) who made the threat. This can include measures such as school lockdowns, summary suspensions, disciplinary action, transfer to a different worksite location, criminal charges, and referral to counseling.

answer:To determine if two numbers are relatively prime, we need to find their greatest common divisor (gcd). If the gcd is 1, then the numbers are relatively prime. begin{array}{l} text{Step 1: Find the prime factorizations of 289 and 360.} begin{array}{rl} 289 &= 17^2 360 &= 2^3 cdot 3^2 cdot 5 end{array} hline text{Step 2: Identify the common prime factors of 289 and 360.} text{There are no common prime factors.} hline text{Step 3: Calculate the gcd of 289 and 360.} begin{array}{rl} gcd(289, 360) &= gcd(17^2, 2^3 cdot 3^2 cdot 5) &= 1 end{array} hline text{Step 4: Conclusion.} text{Since the gcd of 289 and 360 is 1, we can conclude that 289 and 360 are relatively prime.} end{array} Therefore, the answer is: 289 and 360 are relatively prime.

answer:Equivalent Annual Cost (EAC) = Initial cost(A/P, cost of capital, useful life) + Annual cost of maintenance - Salvage value(A/F, Cost of capital, Year in which salvage received) EAC = 50,000(A/P, 8%, 10 Years) + 25,000 - 5,000(A/F, 8%, 10 years) Annuity factor for 8% 10 years = 6.7100814 Present Value of Salvage value = {eq}frac{mathrm{5,000} }{mathrm{(1+0.08)} ^10} {/eq} =2,315.9662 EAC = {eq}frac{mathrm{50,000} }{mathrm{6.7100814} }+25,000-frac{mathrm{2,315.9662} }{mathrm{6.7100814} } {/eq} =32,743.23