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What area did we discuss the following interventions to be used in: training judges and prosecutors to reduce bias, hide the racial description of a defendant, and engage in shooter bias training? Group of answer choices Education context Workplace context Housing context None of these are correct

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The Sun has a radius of 6.957 x 10$^8$ m and an average surface temperature of 5777 K. The Earth has a radius of 6371 km and an average surface temperature of 288 K. Assume the Sun and Earth can be approximated as perfect blackbodies. a) Calculate the bolometric (all wavelengths combined) power emitted by the Sun. b) Calculate the peak wavelength emitted by the Sun and circle which band of the electromagnetic spectrum this wavelength is in. ultraviolet \ visible \ infrared c) Calculate the bolometric (all wavelengths combined) power emitted by the Earth. d) Calculate the peak wavelength emitted by the Earth and circle which band of the electromagnetic spectrum this wavelength is in. ultraviolet \ visible \ infrared

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A client with chronic gouty arthritis takes allopurinol and experiences an acute attack of gouty arthritis. The healthcare provider preseribes concurrent low-dose colchicine. Which information should the nurse provide the client that best explains the action of the colchicine? A client with chronic gouty arthritis takes allopurinol and experiences an acute attack of gouty arthritis. The healthcare provider prescribes concurrent low-dose colchicine. Which information should the nurse provide the client that best explains the action of the colchicine?

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Given the original price and quantity along the demand curve at, respectively, $75 and 100 units, the firm decided to raise the price to $95 and consequently quantity demanded lowers to 80 units. The firm's price elasticity of demand is Cross elasticity between Starbucks and Coffee Beans is 2.5. If Starbucks chooses to raise the price level by 1.5%, it is expected that sales at Coffee Beans would (increase or decrease) by _... %. It is expected that Income Elasticity of a normal good to be (positive or negative or 0) and an inferior good to be (positive or negative or 0). If Cross Elasticity between two products is 0, it means there is no relationship or connection between the two products in question. True or False? The longer the time period, the (greater or smaller) the price elasticity of demand. It is expected that the price elasticity of demand for a good with no close substitutes to be (elastic or inelastic or 0). If a product's income elasticity of demand is -0.75, it means that it is a/an (normal or inferior) good. It further means that if income were to go up by 2%, sales are expected to go down by %. On the other hand, if the product's income elasticity of demand is 0.75, it means that it is a/an (normal or inferior) good. It further means that if income were to go down by 2%, sales are expected to go (up or down) by %. Given the price elasticity of demand at -0.25 and a firm decides to lower the average price level by 1.5%, sales are expected to (increase or decrease or remain the same) by %. Given the price elasticity of demand at -1.75 and a firm decides to raise the average price level by 2%, sales are expected to (increase or decrease or remain the same) by

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PROBLEM 2.1: A linear time-invariant system has the impulse response: $h(t) = e^{0.3(t-1)} [u(t - 1) - u(t - 8)]$ (a) Plot $h(t - \tau)$ as a function of $\tau$ for $t = -1, 2$, and 15. (b) Find the output $y(t)$ when the input is $x(t) = \delta(t - 4)$. This shouldn't require much work! (c) Use the convolution integral to determine the output $y(t)$ when the input is $x(t) = e^{-0.25t} [u(t) - u(t - 5)]$ This will require a bit of work. For this part, let $h(t)$ be the function that you "flip- and-shift." Write the answer for $y(t)$ as separate cases over five different regions of the time axis. For the non-zero cases, there may be several ways of writing the result of the definite integrals. You should try to simplify the results as much as you can, but it may not be the case that one particular way of writing the answers is obviously the "simplest."

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24. A house and lot can be acquired by a down payment of P 500,000 and a yearly payment of P 100,000 at the end of each year for a period of 10 years, starting at the end of 5 years from the date of purchase. If money is worth 14% compounded annually, what is the cash price of the property? a. P 806.899.93 b. P 807,100.12 c. P 807,778.12 d. P 808,835.92 25. A man purchased on monthly installment of P 100,000 worth of land. The interest rate is 12% nominal and payable in 20 years. What is the monthly amortization? a. P 1,101.08 b. P 1,202.08 c. P 1,303.08 d. P 1,404.08 26. Engr. Sison borrows P100,000 at 10% effective annual interest. He must pay back the loan over 30 years with uniform monthly payment due on the first day of each month. What does Engr. Sison pay each month? a. P 838.86 b. P 849.12 c. P 850.12 d. P 840.21 27. A debt of P 12,000 with interest of 20% compounded quarterly is to be amortized by equal semi-annual payment over the next three years, the first is due in 6 months. How much is the semi-annual payments? a. P 2,775.50 b. P 2,662.89 c. P 2,590.04 d. P 2,409.78 28. An engineer bought an equipment for P 500,000. He psent an additional amount of P 30,000 for installation and other expenses. The estimated useful life of the equipment is 10 years. The salvage value is x% of the first cost. Using straight line method of depreciation, the book value at end of 5 years will be P 291,500. What is the value of x? a. 0.2 b. 0.4 c. 0.3 d. 0.1 29. An asset is purchased for P 9,000. Its estimated economic life is 10 years after which it will be sold for P 1,000.00. Find the depreciation in the first three years using sum-of-years digit method. a. P 3,279.27 b. P 3,927.27 c. P 3,729.27 d. P 3,792.27 30. A machine initially worth P 50,000 depreciates in value each year by 20% of its value at the beginning of that year. Find its book value when it is 9 years old. a. P 6,710.89 b. P 6,400.89 c. P 6,666.89 d. P 6,512.78

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Question.2 (15 points) Given the signal: $x(t) = 2 + cos(100\pi t) + sin(100\pi t) + 3 sin(500\pi t)$ a) (2 pts) Find its fundamental frequency $\omega_0$ and period T? b) (5 pts) Find the Fourier series Coefficients of $x(t)$ by comparing to the Trigonometric Fourier series. Hint: (Find $a_0, a_n, b_n$) c) (5 pts) Sketch the amplitude and phase spectra. (Sketch $A_n$ and $\theta_n$ vs $n\omega_0$). d) (3 pts) Find the total signal power.

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Question 14 10 Points Vp = 350 V 3 + j2 Ω Ia VAB Ib 30 - j24 Ω 3 + j2 VA 30 - j24 Ω B 30 - j24 Ω 3 + j2 Ω Ic Figure 4 Round your answer to 2 decimal places Add your answer Question 15 5 Points In Question 14, if Vp = 440 V, what is the magnitude of the voltage VA? Round your answer to 2 decimal places Add your answer

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Problem 6.1 The received signal in a digital communication system is given by y(t) = \begin{cases} s(t) + n(t) & \text{1 sent} \\ n(t) & \text{0 sent} \end{cases} where n is AWGN with PSD $\sigma^2 = N_0/2$ and s(t) is as shown below. The received signal is passed s(t) 0 2 t=t_0 h(t) ML decision rule Figure 6.30: Set-up for Problem 6.1 through a filter, and the output is sampled to yield a decision statistic. An ML decision rule is employed based on the decision statistic. The set-up is shown in Figure 6.30. (a) For h(t) = s(-t), find the error probability as a function of $E_b/N_0$ if $t_0 = 1$. (b) Can the error probability in (a) be improved by choosing the sampling time $t_0$ differently? (c) Now, find the error probability as a function of $E_b/N_0$ for h(t) = $I_{[0,2]}$ and the best possible choice of sampling time. (d) Finally, comment on whether you can improve the performance in (c) by using a linear com- bination of two samples as a decision statistic, rather than just using one sample.

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Problem # 6 (15 points) In the circuit shown the 5 Amp. Current source consumes 6 watts of power. Find all branch voltages and currents and show conservation of power. ?5A ?3A

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