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Write a program to reduce the number of features in scikit's digits dataset, while retaining the variance in the data. You can use scikit's PCA. The firefighters' smoke control station (FSCS) should provide:manual override switches to shut down the operation of any smoke-control equipment. Click to see additional instructions Use the following to compute the actual unemployment rate (U%) and the labor force participation rate (LFP%). # employed =140 # unemployed =15 Not in labor force =81 Actual unemployment rate (U%)= Labor Force Participation Rate ( LFP%) = Let = {x | 1 < x < 1} = (1, 1). Show , is agroup where x y = (x + y) / (xy + 1).Abstract Algebra. Even-Flo Hydraulics enters into a contract to repair valves and fittings in Fiesta Company's plant. If Even-Flo breaches the contract, Fiesta cana. do nothing but make a deal with .a different service provider.b. do nothing but temporarily suspend operations and wait.c. file a criminal complaint against Even-Flo.d. sue Even-Flo for damages. Use the data belowf(21)=6,9(21)=4f'(21)=-3g'(21)=7to find the value of h'(21) for the given function h(x).a) h(x) =-5f(x)-8g(x)h'(21)=b) h(x) = f(x)g(x)h'(21)=c) h(x) = f(x)/g(x)h'(21)= suppose the firm pays each worker a wage of 160 and that the price of the firms output is 10 per unit what is the value of the marginal product of labor for the third worker the kilauea class t-aes main mission is to provide underway replenishment of which class of supplies? Company XYZ reports the following information on its Balance Sheet in the beginning of 2020 Assets 4000 Liabilities 2000 Contributed Equity 1500 Retained Earnings 500 Owner's Equity 2000 Total Liab + Equity 4000 Income Statement end of 2020 Revenue 1000 Op Expenses 350 Depreciation 60 Interest Paid 50 Taxes Paid 75 Taxes Deferred 25 Net Income ??? Dividends 50 Retained Earnings ??? End of 2020 Cumulative Retained Earnings ?? Additional Equity Capital Raised during Yr 202 New Debt Raised during Yr 2020800 Old Debt Repaid during Yr 2020300 Operating Cash Flow at End of 2020 ??? Financing Cash Flow at End of 2020 ??? Net Free Cash Flow at the end of 2020 ??? End of 2020 Owner's Equity ??? End of 2020 Assets ??? Which one of the following basic technology groups relies heavily on the human operator and is not highly mechanized?a. Large-batch productionb. Assembly line productionc. Continuous-process productiond. Small-batch production a client is admitted to the hospital with a diagnosis of malnutrition. the nurse is told that blood will be drawn to determine whether the client has a protein deficiency. which laboratory data indicate that the client is experiencing a protein deficiency? select all that apply. Describe the algorithm for the Merge Sort and explain each step using the data set below. Discuss the time and space complexity analysis for this sort. 214476.9.3215.6.88.56.33.17.2 Case Study New York City CouncilNew York City (NYC) Council is one of the largest councils in the world. Consisting of 51 districts, the NYC Council is responsible for the creation of local laws that enable the council to respond to issues and community needs within NYC. The council has more than 294,000 employees that work in the many skyscraper buildings within the borough of Manhattan. Recently New York City Hall, home to the Mayor of New York and over 1000 staff, has undergone a renovation, to the interior and exterior of the 17th Century building, and as a result the cost of this renovation exceeded the planned cost by 50 million US dollars, and ended up costing 150 million US dollars. Unfortunately, the council also now needs to spend a considerable amount of money on the ageing IT equipment at City Hall, but due to the over expenditure on the renovation, minimal budget remains for IT expenditure.As a result, the Mayor of New York has approached your consulting firm and asked for assistance in budgeting for the new IT equipment. The Mayor has raised some interesting concerns as detailed below.Concern 1: The council currently has more than 1000 desktop personal computers running Windows 8 operating system, spread across the departments and locations within City Hall. The Mayor feels this is far too many personal computers and understands that reducing the number of required PCs will also reduce energy consumption.Concern 2: The desktop personal computers within City Hall currently use the following hardware specifications.- 550 Desktop PCs (1GHZ CPU, 1GB RAM, 16GB HDD)- 300 Desktop PCs (1.4GHZ CPU, 2GB RAM, 64GB HDD)- 200 Desktop PCs (2.4GHZ CPU, 8 GB RAM, 128GB HDD)The Mayor would like to understand if any of the current PC devices can be salvaged and used for at least the next three years.Concern 3: The Mayor is security conscious and is very concerned about the security implications that may be present since the Council is running an operating system that is seven years old.Concern 4: The Mayor has indicated that all documentation recorded electronically in council meetings needs to be securely backed up in a location that all councillors can access at any time of the day.Case Study RequirementsTo address the Case Study, provide a report to the Mayor that includes the following:1. Advise and justify an Operating System to use as the councils Standard Operating Environment (SOE) given the difficulties the council is facing with IT expenditure. (ULO 2, ULO 3)2. Advise the council on what hardware is required to support the SOE identified in the previous question, and explain how it may or may not be possible to re-use existing hardware. (ULO 2) A key to effective leadership is communication. There are many communication models that a leader can take advantage of, though some of these models can also create barriers of communication for employees.Cant do an assignment? Get it done by a trustworthy essay writing service Solution of the IVP \( y^{\prime}=x^{2} y, y(0)=3 \) is given by (suppose \( y \) is positive) \[ y=e^{x^{3} / 3}+3 \] \( y=3 e^{x^{3} / 3} \) \( y=3 e^{x^{2} / 2} \) \( y=2 e^{x^{3} / 3} \) Consider the system of equations x^5 * v^2 + 2y^3u = 3, 3yu xuv^3 = 2. Show that near the point (x, y, u, v) = (1, 1, 1, 1), this system defines u and v implicitly as functions of x and y. For such local functions u and v, define the local function f by f(x, y) = u(x, y), v(x, y) . Find df(1, 1) The desplacement (in feet) of a particle moveng in a strooght line is given by s=(1/2)t^26t+23, what t is mease red in seconds.a') Find the average velocity over the [4,8]. b) Find the instantaneaus velocetry at t=8 Answer the following: [2+2+2=6 Marks ] 1. Differentiate attack resistance and attack resilience. 2. List approaches to software architecture for enhancing security. 3. How are attack resistance/resilience impacted by approaches listed above? determine if the given ordered pairs are solutions to the equation (1)/(3)x+3y=10 for each point. The Phelps Company's common stock is currently trading for $25. 50 per share. The stock is expected to pay a $2. 80 dividend at the end of the year and the Phelps Company's equity cost of capital is 10%. If the dividend payout rate is expected to remain constant, then the expected growth rate in the Phelps Company's earnings is closest to _________A. -1. 96% B. -1. 47% C. 0. 98% D. 0. 49%