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A plane leaves airport A and travels 590 miles to airport B on a bearing of Upper N 35 degrees Upper EN35°E. The plane later leaves airport B and travels to airport C 410 miles away on a bearing of Upper S 72 degrees Upper ES72°E. Find the distance from airport A to airport C to the nearest tenth of a mile.

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Ten years ago, a corporation purchased a building for $180,000. At that time, the corporation felt that the building was worth $205,000. The current market value of the building is $410,000. The building has been assessed at $385,000 for property tax purposes. At which amount should the corporation record the building in its accounting records? A. $180,000 B. $410,000 C. $205,000 D. $385,000

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If you have Type O blood, you can safely receive transfusions of:

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Find the average cost per item only required number of items are produced c(x) = 13x + 1800, 1000 items

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The wave function of a particle moving in one dimension is given by $\psi(x) = \begin{cases} B \exp(\beta x) & \text{for } x < 0\\ B \exp(-2\beta x) & \text{for } x \ge 0 \end{cases}$ where $\beta$ is a real and positive constant. Hint: You can calculate the integrals you need by expressing powers of x through (repeated) differentiation with respect to the parameter in the exponential, for example, $\int_a^b x \exp(\gamma x) dx = \frac{\partial}{\partial \gamma} \int_a^b \exp(\gamma x) dx$ $\int_a^b x^2 \exp(\gamma x) dx = \frac{\partial^2}{\partial \gamma^2} \int_a^b \exp(\gamma x) dx$ and so on. What is the probability density for finding the particle along the x- axis? Sketch the probability density function.

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A 3-bit parity checker counts the number of 1's in a sequence of 3 bits and outputs 1 if odd, 0 if even. (Example: If the input is 101, output is 0, but if the input is 001, output is 1). Knowing that: VTn = 0.53 V VTp = -0.51 V $\mu_n$Cox = 98.2 A/V2 $\mu_p$Cox = 46 A/V2 V$_{DD}$ = 1.2 V Ec,nLn= 0.45 Ec,pLp = 1.2 and the output load capacitance is 30fF: a) Draw the CMOS transistor-level of the complex logic gate. b) Compute the (W/L)$_{n}$ of the nMOS transistors such that the equivalent inverter of the complex logic gate has $\tau_{PHL}$ =20ps using the average method. c) Draw the pseudo-nMOS transistor-level of the complex logic gate. d) Compute the worst-case V$_{OL}$ of the equivalent inverter if (W/L)$_{p}$ = 4 and (W/L)$_{n}$ = 1.

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Question Q.1 A sinusoidally modulated full AM waveform, v(t) is illustrated in Fig. P.1. The associated parameters are as follows: Modulating frequency: $f_m$, and Carrier frequency: $f_c$ ($>> f_m$); and, $|A|$ and $|B|$ denote maximum and minimum swings of the modulated waveform as shown. (7 Marks) A B 0 Fig. P.1 Assume the amplitudes of the carrier and the baseband signal as $a_c$ volt and $a_m$ volt respectively. (a) Modulation index, m and phasor diagram of carrier and LSB and USB components of v(t) shown in Fig. P.1. (b) (c) (d) Scanned with CamScanner $\sin(X \pm Y) = \sin(X)\cos(Y) \pm \cos(X)\sin(Y)$ $\cos(X \pm Y) = \cos(X)\cos(Y) (-) \text{or} (+) \sin(X)\sin(Y)$ Percentage modulation efficiency associated with v(t) in terms of A and B Peak carrier amplitude of the signal in Fig. P.1., Sketch the spectrum of, v(t) Sketch the waveform of v(t), if m = 1 and m = 1.2. (e) Data supplied: $|A|$ volt $|B|$ volt $f_m$ Hz $f_c$ kHz 3.0 1.0 1000 2000 (a) m and phasor diagram Required Answers for Questions (a) thru (e) (b) Percentage (c) Carrier peak (c) Spectrum (e) Waveform of v(t) if modulation amplitude, ($a_c$) of v(t) m = 1 and m = 1.2 2

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A company has a $300 million portfolio which mimics the S&P 500 index, with a beta of 0.75. The futures price for a contract on an index of 1200 points. The S&P futures contracts on $250 times the index. What trade is necessary to increase beta to 1.5? A. Short 750 contracts B. Long 750 contracts C. Short 1500 contracts D. Long 1500 contracts

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Question 4 4 points Save Answer Sales (Y) and advertising expenditures (X) has a linear relationship and the correlation coefficient is 0.90. When a linear regression analysis has sales (Y) as dependent and advertising expenditures (X) as independent variable, which of the following is the closest value to the predictive power of the analysis? A. not enough information to determine B. 0.81 C. 0.99 D. 0.91

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Problem: Using theorem 4 in section 1.4 prove that: Span\{v1, v2, v3\} = \mathbb{R}^3 where $v_1 = \begin{bmatrix} 1 \\ 2 \\ 4 \end{bmatrix}$, $v_2 = \begin{bmatrix} 1 \\ 3 \\ 5 \end{bmatrix}$, $v_3 = \begin{bmatrix} 1 \\ 4 \\ 6 \end{bmatrix}$. You may upload your solution in pdf format, and show all the steps.

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nicholas t.