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Make the indicated trigonometric substitution in the given algebraic expression and simplify (see Example 7). Assume that 0 < theta < /2. 25 x2 , x = 5 sin(theta) HELP PLEASE Debra deposits $90,000 into an account that pays 2% interest per year, compounded annually. Dan deposits $90,000 into an account that also pays 2% per year. But it is simple interest. Find the interest Debra and Dan earn during each of the first three years. Then decide who earns more interest for each year. Assume there are no withdrawals and no additional deposits what is the co efficient of x in(2.x+3) A cord of mass 0.65 kg is stretched between two supports 28 m apart. If the tension in the cord is 150 N, how long will it take a pulse to travel from one support to the other? Assume that you were to build a new 7Tesla MRI system. You currently had a 3Tesla MRI system.A) Which parts from the 3T could you use in the 7Tesla system? ExplainB) Could the same computer and analysis methods be used for the 7 Tesla system. Explain.Q4.Trace the steps involved in the reception of the MR signal beginning with the insertion of the patient into the magnet.Q9. Explain the behavior of relaxation times as the strength of the static magnetic field is increased. The release of carbon dioxide from the complete oxidation of pyruvate can pose problems for cells. What molecule can easily be formed from carbon dioxide that can serve as a one carbon donor and double as a biological buffer? A. Biotin B Acetate C. Glyceraldehyde 3-phosphate D. Glycine E. Bicarbonate in stage 13, ca. 32 days, the midgut begins to extend into the You are in your first month of a 12-month volunteer teaching position in the Pacific. You teach primary school children English and Social Science in a school where everything is taught in English and all the books and materials are in English. The children all speak another local language at home and none of their parents speak English well, although most of them have completed primary school education in English. Even though the children are asked to use English in the classroom, you notice that most of them use words and phrases from their own language when they speak to one another and when they talk about their culture. Explain this phenomenon in the context of code-switching A farmer wants to find the best time to take her hogs to market. the current price is 100 cents per pound and her hogs weigh an average of 100 pounds. the hogs gain 5 pounds per week and the market price for hogs is falling each week by 2 cents per pound. how many weeks should she wait before taking her hogs to market in order to receive as much money as possible?**please explain** Find f. f ''(x) = 4 + 6x + 24x^2, f(0) = 3, f (1) = 11 what is the most expensive pokemon card in the world Find the numerical solution for each of the following ODE's using the Forward Euler method and the scipy.integrate.odeint() function.a)ODE:y = e-y0 t 1inital conditiony(t = 0) = 1For the Forward Euler method, find the solution using the following At's: 0.5, 0.1, 0.05, 0.01. Please plot the solutions for the different At's and the odeint() function in the same plot and add labels, a grid and a legend to the plot. the integers and the natural numbers have the same cardinality (a) true (b) false 4.justify in ethical terms the application of drug tests to employees of the aircraft maker boeing. A power plant uses 54 million Joules of chemical energy to produce 17 million Joules of electrical energy. What is the efficiency of this process What is the value of 12 x superscript negative 3 baseline y superscript negative 1 baseline for x equals negative 1 and y = 5? What is the instantaneous rate of change at x=2 for the functionf(x)= 2x - 5 how large a sample is necessary for the bound on the error of estimation of the 90onfidence interval to be 3000? enter the minimum appropriate value. (give your answer as a whole number.) the nurse is caring for a 5-year-old patient admitted with gastroenteritis. prioritize the following nursing interventions beginning with the most important initial action. What is the best method to use to collect the stool specimen from this patient? which value of the following values of coefficients of correlation indicates the strongest correlation? group of answer choices a. -0.40 b. -0.60 c. 0.53 d. 0.58