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A square right pyramid has a base measuring 3.2 m by 3.2 m. Its top is cut off parallel to its base exposing a new smaller pyramid with base edges of 2.8 m by 2.8 m. Determine the ratio of the total surface area of the original large pyramid to the total surface area of the small pyramid. Express your answer to 3 sig figs. 2.8 m 3.2 m 1. Ratio Total Surface Area Big: Small =

Question 2: = Given, x,(n) = u(n) - u(n - 12) x,(n) = x( n + 5) Generate a function which will add x, (n) and X, (n). The function will work even if the dimensions of x, (n) and x (n) are changed.

 

QUESTION 4 75mm 75mm 100mm Figure 4 - Composite Beam The composite beam shown in Figure 1 is made up of a Ti-Al-V bar (A) attached to a 2024 T4 aluminium bar (B) (See Appendix A for material properties). If neither of the beams is allowed to yield, determine the maximum moment that may be applied to the beam. [16]

A random sample of size 150 is selected from a normal population. The population standard deviation is known. Assume the null hypothesis indicates a two-tailed test and the researcher decided to use the 0.10 significance level. For what values of z will the null hypothesis not be rejected?

Exercise 7-16 Comprehensive Activity-Based Costing Exercise (LO2, LO3, L04) Cancico Communications has supplied the following data for use in its ABC system Overhead Costs Wages and salaries Other overhead costs Total overhead costs $265,000 151,000 $416,000 Activity Cost Pool Direct labour support Order processing Customer support other Activity Measure Number of direct labour-hours Number of orders Number of customers These costs are not allocated to products or customers Total Activity 7,565 DLHS 450 orders 140 customers NA Distribution of Resource Consumption across Activity Cost Pools Direct Labour Order Customer Support Processing Support Other Total 20% 35% 30% 15% 100% 15% 25% 25% 35% 100% Wages and salaries Other overhead costs During the year, Cancico Communications completed in order for special telephone equipment for a new customer Huntel. This customer did not order any other products during the year Data concerning that order follow Selling price units ordered Direct materials Direct labour-hours Direct labour rate $221 per unit 120 units $196 per unit 2.6 DLH per unit 523 per DH Required: 1. Prepare a report showing the first stage allocations of overhead costs to the activity cost pools. Direct Labour Support Order Processing Customer Support Other Totals Wages and salanes Other overhead costs Total cost 2. Compute the activity rates for the activity cost pools. (Round your answers to 2 decimal places.) Activity Cost Pools Direct labour support Order processing Customer support Activity Rate per DLH per order per customer 3. Prepare a report showing the overhead costs for the order from HurnTel, including customer support costs. (Round your answers to 2 decimal places.) ABC Cost Activity Cost Pool Direct labour support Order processing Customer support Total Activity Rate per DLH per order per customer Activity DLHS orders customer 4. Prepare a report showing the customer margin for HurnTel. (Round your answers to 2 decimal places.) Sales Costs Direct materials Direct labour Direct labour support overhead Order processing overhead Customer support overhead Customer margin

a 3) For NMOS 1 um technology: k.Cox = 100 A/V, Vi=0.5 V, 2 = 0.1 V-1 Let a NMOS cascode current mirror with a reference current of 120 MA and a supply voltage of 5 V. Assume the overdrive voltages of mirror transistor and cascode transistor are 150 mV and 100 mV, respectively. Identify the following: a) Minimum headroom voltage required for the above current mirror acts as current source b) Aspect ratios of the transistors c) Output impedance of the current source

QUESTION 19 Phase angle is the difference in phase between the applied voltage and the circuit current True False QUESTION 20 For parallel ac circuits containing resistance and inductive reactance, total current can only be found using right-triangle methods True False

Consider a charged sphere of uniform (free) charge Q and radius R made from a dielectric material with permittivity e. Use the answer to the previous question to show that the potential just inside the surface of the sphere is: 4 R 4MER Q 4MER

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A particle moves in a straight line so that at time t its displacement from a fixed origin is x and its velocity is v. Its acceleration is 1 – 3t2 m/s- at any time t. The body is initially at x = 7 and its initial velocity is 11 m/s. Find the displacement of the particle at any time t. 15 marks]

 

Find a solution to the recurrence relation an 3an 1 2an 2. C( 1)" + C2 (2) o = 4,=G()-4x 2 2 3- O None of these 3 an = a1 ( c()