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Use the given information to find (a) $\sin (s+t)$, (b) $\tan (s+t)$, and (c) the quadrant of $s+t$ $\sin s=\frac{2}{7}$ and $\sin t=-\frac{4}{7}$, $s$ in quadrant II and $t$ in quadrant IV

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Which of the following should you do with passwords to defend against malware? Keep your account passwords short so they are easy to remember. Keep each of your accounts safe by using the same password, so you can always log in. Protect each of your accounts with a strong, unique password.

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If a line has a slope of 3 and contains the point (-1,4), what is its equation in point-slope form?

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_____ _____ is defined in CGL as not licensed for public roads. The CGL provides coverage for these items.

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Territory and Product Profitability Analysis Pipeline Surfboards Inc. manufactures and sells two styles of surfboards, Atlantic Wave and Pacific Pounder. These surfboards sold in two regions, East Coast and West Coast. Information about the two surfboards is as follows: Atlantic Wave Pacific Pounder Sales price $250 $200 Variable cost of goods sold per unit (93) (96) Manufacturing margin per unit $157 $104 Variable selling expense per unit (112) (48) Contribution margin per unit $45 $56 The sales unit volume for the sales territories and products for the period is as follows: East Coast West Coast Atlantic Wave 3,080 1,540 Pacific Pounder 0 1,540 a. Prepare a contribution margin by sales territory report. Compute the contribution margin ratio for each territory. Round contribution margin ratio answers to two decimal places. Pipeline Surfboards Inc. Contribution Margin by Territory Line Item Description East Coast West Coast Sales 770,000 693,000? Variable cost of goods sold 286,440 147,840 X Manufacturing margin Variable selling expenses 344,960 418,880 X Contribution margin Contribution margin ratio

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I have the solution. Please just explain properly what are α, β, and θ and graph them, and why θ = α + β? At time t = 0, the baseball player releases a ball with the initial conditions shown in the figure. Determine the quantities r, r', θ, and β, all relative to the x-y coordinate system shown at time t = 0.5 sec. y Vo = 100 ft/sec 1 - = 30 6' Problem 2/162

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True or false: A company cannot pay dividends in excess of the amount of its retained earnings.

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(4) Prove the following statement \(\forall (n, d) \in \mathbb{Z} \times \mathbb{N}, (q = \lfloor n/d \rfloor) \land (r = n - dq = n - d \lfloor n/d \rfloor) \implies (n = dq + r) \land (r \in \{0, 1, \dots, d - 1\})\)

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Text: Virial Expansions and Perturbations Consider the discrete energy levels of a quantum harmonic oscillator: En=ho(n+1/2) (3.1) Now, consider adding an oscillating discrete perturbation scaled by a parameter a: ΔE=aw (3.2) where n = 0, 1, 2, ..., h is the angular Planck constant and w is the oscillator frequency. a) 4P) For which states is the perturbation the most important? What are the units of a? b) 6P) Assuming that a < 1, show that the first order perturbation theory correction to the Helmholtz free energy for N non-interacting, distinguishable oscillators is given by: F=Na(1-e^(-βh)) cos(ωt) (3.3) You may find the following formula useful: (-1)^j cos(x) = ∑(j=0)^(∞) (2j)! (3.4) c) 8P) Derive the first order correction to E, the internal energy for the same system. You may find the following relation useful: ΔE = ∫(0)^(β) a^2 kT^2 dt (3.5)

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23. Calculate the wire diameter of a steel spring that could support a load of 50 kg. Allowable working stress is $427 \times 10^6$ N/m$^2$, the spring mean diameter is to be 44.45 mm and G = 79.3 Gpa. A. 0.2106 in B. 0.3028 in C. 0.3924 in D. 0.6931 in

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