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Show that sin^2x+cos^2x=1 by using the unit circle.Hint:start with the equation of the circle and finish labeled the circle Calculate the molar mass of (NH4)2SO4A) 114.11 g/mol D) 63.09 g/molB) 228.22 g/mol E) 132.15 g/molC) 118.14 g/mol (352-60) An equipment grounding conductor is not required in the conduit if the grounded (neutral) conductor is used to ground equipment as permitted in Section 250-142.(True/False) In this diagram, AT = 2x + 3, CT = 3x - 1, BT = x + 5,DT = 4x + 1, and mLATD = 41x + 8. If x = 2,which segment is the perpendicular bisector of the other? Explain your reasoning. In 1828, the diameter of the U.S. dime was changed to approximately 18 mm. What isthis diameter when expressed in nanometers?A) 1.8 109 nm D) 1.8 10-5 nmB) 1.8 107 nm E) 1.8 10-10 nmC) 1.8 101 nm Question 04: Describe and evaluate multiple methods of collecting job analysis information. Answer: What kind of environments do disulfide bonds stabilize proteins? Polygraph tests: a. are extraordinarily accurate, producing virtually no false positives. b. cannot be beaten when properly administered. c. can produce false positives. d. are reliable because lying always triggers an involuntary response that truth telling does not. e. Both (a) and (b). A stretched string is supported by two bridges a distance L apart. You are driving the string with an inductive coil and find the lowest resonance frequency at 100 Hz. Now you move the bridges a little so that the distance between them is 10% larger than before. The new resonant frequency:A. may be larger or smaller; one needs more information to decide.B. is smaller than it was before.C. is larger than it was before.D. is the same as it was before. At what rates do the following variables grow, if at all, in the steady state for the Solow Growth Model with population growth but without technological progress? Production is defined here by Y = F(K, L) with constant returns to scale. Also, s > 0, >0, n > 0, and g = 0. . - capital per worker- capital- output per worker - output 20 points8. Is ecological succession best described as a progression of small changes, or one large change? Explain. Describe and compare the solution sets of x 1 plus 3 x 2 minus 2 x 3equals0 and x 1 plus 3 x 2 minus 2 x 3equalsminus6.Question content area bottomPart 1Describe the solution set, xequalsleft bracket Start 3 By 1 Matrix 1st Row 1st Column x 1 2nd Row 1st Column x 2 3rd Row 1st Column x 3 EndMatrix right bracket, of x 1 plus 3 x 2 minus 2 x 3equals0 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice.(Type an integer or fraction for each matrix element.) According to US v Ramsey (1977), searches at international borders are:A. reasonable even without a warrant or probable causeB. reasonable only with a warrantC. reasonable without a warrant, if there is probable causeD. require probable cause, followed by a warrant Aqua Cool is a distributor of bottled water. For each of the items, compute the amount of cash receipts or payments Agua Cool will budget for Septe (Click the icon to view the items.) a. Management expects to sell equipment that cost $15,000 at a gain of $6,000. Accumulated depreciation on this equipment is $8.000. The model presents a general theory that is applicable to metropolitan areas that were first settled in the eraof postcolonial independence.b. Management expects to sell 7,500 cases of water in Augustand 9,100 cases in September Each case sells for $16. Cash sales average 40% of c. The company pays rent and property taxes of 54,400 each month Commissions and other selling expenses average 10% of sales. Agua Coolpay understanding a group leader's personal qualities, those characteristics of personality that influence the group, is advocated by which of the following approaches to group leadership? UTILIZATION MANAGEMNT PROGRAMS ARE MEASURESD ___________ TERMS, DOLLAR SAVINGS, OR ROI A chemical that is frequently applied just prior to filtration is Regarding psychotherapy treatment outcome, research suggests all of the following except:a.therapy techniques are the key component of successful treatmentb.both the therapy methods and the therapy relationship make contributions to treatment outcome.c.the therapist as a person is an integral part of successful treatment.d.the therapeutic relationship is an essential component of effective treatment. GUYS I NEED HELP ASAP IF YOU HELP I WILL GIVE 15 POINTSShelley invested some money in an account that will mature in one year. If Shelley withdraws the money after the maturity date, she will receive her initial investment plus 15%, but if she withdraws her money now, she will only be able to withdraw 80% of what she put into the account.Shelley put $317 into the account initially. How much of her initial investment will she lose if she withdraws her money now? 21 is 28% of what number? Enter your answer in the box. HELPPP ME PLEASE!!! (40 POINTS)