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bego-a meadows

bego-a m.

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Two dice are rolled simultaneously. A) use the grid method to show the sample space. B) find the probability of getting: A1) a double 5? 2) at least one 4? 3) a sum greater than 9? 4) a sum of 7 or 11? C) if the dice was rolled 900 times, on how many occasions would you expect the sum of the rolls to be prime?

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How does mechanical engineering contribute to the development of advanced manufacturing processes?

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\( 6-3 x \geq-42 \)

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Q1 A spherical shell has an inner radius $R_a = 10$ cm and an outer radius $R_b = 20$ cm. It has a variable charge density $\rho(r) = \frac{0.02 \text{ C/m}^2}{r}$. What is the total charge of the shell? Give the answer in the unit mC. Q2 Two dipoles are separated from each other by a center-to-center distance $a = 1$ cm. Both have a dipole charge $q = 2 \mu C$, the distance between the charges is $d = 0.01$ cm. $d$ $a$ Calculate the magnitude of the force exerted by one dipole on the other. Give the answer in the unit N.

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A young man is the beneficiary of a trust fund established for him 16 years ago at his birth. If the original amount placed in trust was $20,000, how much will he receive if the money has earned interest at the rate of 7%/year compounded annually? Compounded quarterly? Compounded monthly? (Round your answers to the nearest cent.) compounded annually compounded quarterly compounded monthly Need Help? 33. [-/1 Points] DETAILS TANAPMATH7 4.1.040. MY NOTES PRACTICE ANOTHER Jennifer was awarded damages of $150,000 in a successful lawsuit she brought against her employer 2 years ago. Simple interest on the judgment accrues at the rate of 13%/year from the date of filing. If the case were settled today, how much would Jennifer receive in the final judgment? Need Help? 34. [-/1 Points] DETAILS TANAPMATH7 4.1.032. MY NOTES PRACTICE ANOTHER Use logarithms to solve the problem. How long will it take $13,000 to grow to $18,000 if the investment earns interest at the rate of 5%/year compounded monthly? (Round your answer to two decimal places.) Need Help?

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Calculate the leading corrections to the energy eigenvalues of the 3 lowest lying states in an infinite square well with the perturbation in the figure. Consider two-electron wavefunctions (spin and space). In the absence of the perturbation what are the energies $S_{total}$ for the lowest 4 states. What are the energies and $S_{total}$'s in the presence of the perturbation?.

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$f_1 = We \frac{a}{L} \left[ 1 - \frac{b}{W} \right]$ $f_2 = We \left[ 1 - \frac{a}{L} \right] \left[ 1 - \frac{b}{W} \right]$

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Give an $\epsilon$-$\delta$ proof of the limit fact.\\ $\lim_{x\to 0} (4x+5) = 5$\\ Let $\epsilon > 0$ be given. Choose the correct answer below.\\ A. Choose $\delta = \frac{\epsilon}{5}$. Then $0 < |x - 0| < \delta \implies |(4x + 5) - 4x| = |5x| = 5|x| < 5\delta = \epsilon$.\\ B. Choose $\delta = \frac{\epsilon}{4}$. Then $0 < |x - 0| < \delta \implies |(4x + 5) - 5| = |4x| = 4|x| < 4\delta = \epsilon$.\\ C. Choose $\delta = 4\epsilon$. Then $0 < |x - 0| < \delta \implies |(4x + 5) - 5| = |4x| = 4|x| < \frac{\delta}{4} = \epsilon$.\\ D. Choose $\delta = \epsilon$. Then $0 < |x - 0| < \delta \implies |(4x + 5) - 5| = |4x| < \delta = \epsilon$.

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1. Consider the circuit shown in Fig 1, where $v(t) = 20 \cos(1000t - 45^\circ)$.\\ 2? 1F\\ WHE\\ 2?\\ 2 ?\\ v(t) (+\\ +\\ 1 F\\ 2 H\\ VL(t)\\ Figure 1: Circuit for Question 1\\ (a) Determine the phasor representation of $V_L(t)$\\ (b) For each element in the circuit, calculate the real and reactive power associated with it.\\ (c) Determine the complex power supplied by the source.\\ 2. An inductor is connected in series with three parallel loads with the following specifications\\ • The impedance of the inductor is $Z_L = j0.1$\\ • Load 1 is absorbing an average power of 6 kW and delivering reactive power of 8 kvars\\ • Load 2 is absorbing an average power of 9 kW and reactive power of 3 kvars\\ • Load 3 is a 25 ? resistor in parallel with a 1 mF capacitor.\\ • the voltage across the three parallel loads is 250 sin(200t)\\ (a) Determine the overall supplied voltage\\ (b) Is the inductor absorbing or delivering reactive power?\\ (c) Is there a way to correct the power factor of the loads to 1? If yes, explain what should\\ be done; if no, indicate why not.

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What would be the effect on operational income? A) It would increase by $3,000 B) It would decline by $1,200 C) It would increase by $3,000 D) It would decline by $800 What would be the effect on operational income? A) It would decline by $750 B) It would increase by $50 C) It would increase by $300 D) It would decline by $800 When considering additional processing for sales revenues, they must consider all of the following factors EXCEPT: A) Will the additional processing produce any environmental toxins? B) How much incremental revenue can be earned if processed further? C) How much additional costs are necessary to process further? D) How much cost is required to produce the basic product, before processing further? A company produces 1,000 packs of chicken feed per month. Sales price is $4.00 per pack. Variable cost is $1.50 per unit, and fixed costs are $1,800 per month. Management is considering adding a vitamin supplement to improve the value of the product. The variable cost will go up from $1.50 to $1.90 per unit, and fixed costs will go up by 20%. The CEO wishes to price the new product at a level which will bring operational income up to $1,000 per month. What price is needed? A) $5.06 B) $4.76 C) $5.00 D) $4.00

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