The expected time (t,) of a PERT activity in terms of optimistic time (t), pessimistic time (t,) and most likely time (t,) is given by a) te + 4t, +lp (b) te to + 4t, + t, %3D %3D 6. to + 4t, + tp to + 4t, + t,
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- We are using simple exponential smoothing to predictmonthly electric shaver sales at Hook’s Drug Store. At theend of October 2006, our forecast for December 2006 saleswas 40. In November 50 shavers were sold, and duringDecember 45 shavers were sold. Suppose a 0.50. At theend of December, 2006, what is our prediction for the totalnumber of shavers that will be sold during March and Aprilof 2007?Energy of a Roller Coaster Car 500 450 400 350 --- 3 300 250 E 200 150 100 50 6 8 10 Time (s) Mechanical Energy ....... Potential Energy -- Kinetic Energy This graph shows different types of energy for a roller coaster car that starts at the top of a large hill and goes down to its lowest point at 6 s. According to the graph, what is the most likely relationship between height and potential energy? Your answer: They are directly related. They are inversely related. There is no relationship between the two. There is not enough information for a conclusion.yo 9:1V i %A LO äbä 20 A ladder 13 ft long is leaning against a wall. The bottom of the ladder is being pulled away from the wall at the constant rate of 6 ft/min. How fast is the top of the ladder moving down the wall when the bottom of the * ?ladder is5 ft from the wall 13 y 6 ft/min 2.5 3.5
- Q8): To find how much heat is required to bring a kettle of water to its boiling point, you are asked to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table below. Temperature, T Specific heat, C₂ (°C) J kg-°C 22 42 52 82 100 4181 4179 4186 4199 4217 Determine the value of the specific heat at 7=61°C using the direct T method of interpolation and a third order polynomial. Find the absolute relative approximate error for the third order polynomial approximation (Lagrange Method).A special case of a linear function occurs when we talk about direct variation. If the quantities x and y are related by an equation y − kx for some constant k ± 0, we say that y varies directly as x, or y is proportional to x. The constant k is called the constant of proportionality. Equivalently, we can write fsxd − kx, where f is a linear function whose graph has slope k and y-intercept 0. (a) As dry air moves upward, it expands and cools. If the ground temperature is 20°C and the temperature at a height of 1 km is 10°C, express the temperature T (in °C) as a function of the height h (in kilometers), assuming that a linear model is appropriate. (b) Draw the graph of the function in part (a). What does the slope represent?(c) What is the temperature at a height of 2.5 km?Parts for each product Homework 1 n produce dryer plant Can for each product castiens Then each product is assembled in its dedicated washing and dryer A machines. Difterent are manufactured by press and motor ly sechon. The the monthly capacity of different sections are: washing machine or looo dryer machine Press section: 100 - Motor section: 1600 washing machine or 7o00 drjer machine machine assembly line: goo0 machine washing druer machine assembly line: 5000 machine washing 1, profit for each unct of washing and dryer machines is 270 and 300 respectively. Formulate a linear programming problem for Find ing how many washing and dryer machines should be produced many washing to maximize total plant's profit. 2.A A Post Company need to transfer 30000 boxes with two each truck presented of olifferent trucks. Chavactenistics problem for The table below. Formulate a linear programming each truck to optimum nunber of minimIze total Cost.
- Example: bottled water at Kroger (Homework) = Month Actual Forecasted α = 0.3 Jan 1,325 1,370 Feb 1,353 1,361 Mar 1,305 1,359 Apr 1,275 1,349 May 1,210 1,334 Jun ? 1,309 solve the acutal sales in jun using Exponential smoothing: the method Assume that we are currently in period. We calculated the forecast for the last period (F) and we know the actual demand last period (4.) ... F₁=F₁₁+a(A₁-F₁) The smoothing constant a expresses how much our forecast will react to observed differences... If a is low: there is little reaction to differences. If a is high: there is a lot of reaction to differences.Here I'm finding final kinetic energy KE2, given initial kinetic energy, initial force, alpha N/m^3 and beta N representing F(x). I integrated F(x)dx though I'm not sure how to integrate Fo with respect to X. I tried just finding the integrand ouput of 7.5x10^4m and subtracting the initial force, since the initial force would count as x=0, or I assumed. I then followed the regular approach of adding over the initial KE1 to isolate the unknown KE2 which I keeo getting as 1.07x10^10 which seems to be off. Again, I suspect where I'm going wrong is integrating the initial force -3.5x10^6N with respect to x, but other than what I've already done, that doesn't make sense to me.3G 9:.. %79 Final 1st attem... F2 У - ахis Fs F4 F1 х - ахis X- axis y - axis F3 F2 F1 Figure (1) Figure (2) 250 N 36.87 D F2 60° 0.5 m 1 m o! 0.2 m 1 m 300 NE F1 1 m Figure (3) Figure (4) Q1] Answer the following questions: For figure (1): The object is subjected to two forces F1 = 25 N, and F2 = 50 N. Set x = 30°, 0 = 45° , and ß = 30°. 1- What is the magnitude of the resultant of these two forces? a) 39.4 N b) 80.1N c) 41.6 N d) 69.8 N e) 71.4 N f) 46.1 N g) None of them 2 - What is the direction of the resultant force measured counterclockwise from the positive x-axis? а) 14.30 b) 392.6° c) 9.2° d) 322.9° e) 6.8° f) 344.2° g) None of them For figure (2): The arm in is subjected to five forces as follows: F1 = 135 N, F2 = 98 N, F3 = 210 N, F4 = 56 N. If the y – direction resultant force is 144 N, and x = 40°, 0 = 50°, B = 70°: 3 – What is the magnitude of the force F5? a) 318.4 N b) 99.1N c) 151.6 N d) 36.5 N e) 111.2 N f) 18.8 N g) None of them 4 - What is the magnitude of the…
- An object is shot upward from the ground with an initial velocity of 640 ft/sec, and experiencés a constant deceleration of 32 ft/sec² due to gravity as well as a deceleration of (v(t) / 10) ft/sec due to air resistance, where v(t) is the object's velocity in ft/sec. (a) Set up and solve an initial-value problem to determine the object's velocity v(t) at time t. (b) At what time does the object reach its highest point?Need help with engineering problem. Match the RTT term with its explanation: A: ddt(∫CVβρdᏉ) B: ∫CSβρVcosθdAout C: ∫CSβρVcosθdAin A. B. C. Match one of the following answers below to each letter. A change within the control volume Outflow of B from the ontrol volume Inflow of B to the control volumeGiven: Consider an adiabatic steam turbine operating at steady-flow conditions. The known operating conditions are: Inlet conditions Exit (outlet) conditions Pressure (MPa) Temperature (°C) Velocity (m/s) Steam quality Mass flow rate (kg/s) Elevation (height) (m) 10 450 0.010 80.01 50.01 91.9 % 12.01 9.0 9.0 Required: Draw clear and consistent schematic for the problem representing the inlet and exit (outlet) conditions and label your schematic with the given conditions. Analyze the problem systematically using step-by-step CV energy and mass analyses, justify the equations, state your assumptions, and determine the following (circle your final answers): (a) The specific enthalpy values at inlet and exit of the turbine. (b) The mass flow rate of steam at exit. (c) The specific heat transfer. (d) The rate of change in the kinetic energy of the steam between inlet and exit. (e) The power output generated by the turbine. (f) The specific work output. (g) The specific volumes at inlet and…
