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alex long

alex l.

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Find the Thevenin equivalent circuit at terminals $a-b$ for the circuit shown below, where $Z_c = -j81 \Omega$. $30 \Omega$ $j10 \Omega$ $120 \angle 45^\circ V$ $60 \Omega$ $a$ $C$ $b$ Please report your answer so the magnitude is positive. $Z_{th} = Z_1 \angle \theta_1 \Omega$, where: $Z_1 =$ (Calculate to 2 decimal places) $\theta_1 =$ deg (Calculate to 2 decimal places) $V_{th} = V_n \angle \theta_2 V$, where: $V_n =$ (Calculate to 2 decimal places) $\theta_2 =$ deg (Calculate to 2 decimal places)

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Use the method of cylindrical shells to find the volume of the solid generated by rotating the region bounded by $y = e^{-2x^2}$, $y = 0$, $x = 0$, and $x = 3$ about the $y$-axis. $V = $

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You are an IT administrator for a company maintaining operations in a cloud-hosted environment. You have used a public cloud provider for many years and although your needs have not significantly grown your costs have continued to climb over time. What aspect of lifecycle management needs to be examined to look for cost savings? Select one: a. Deprecations b. Upgrades c. New Versions d. On-Premises to cloud migration opportunities

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a. 1. The 25 HP motor is installed with the fan that is capable of delivering 15,000 CFM, but the fuse blows at 12,000 CFM. What HP motor should be installed? a. 12.00 HP b. 25.32 HP c. 31.25 HP d. 27.35 HP

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Only one of the two genes encodes a start codon. Identify this gene. Based on your identification, which gene encodes the ribosomal protein? The bottom gene (transcribed by a blue RNA polymerase) The top gene (transcribed by a green RNA polymerase)

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II. A survey of CPAs across the United States found that the average net income for sole-proprietor CPAs is $98,500. Because this survey is over two decades old, an accounting analyst wants to test this figure by taking a random sample of 112 sole-proprietor accountants in the United States to determine whether the net income figure has changed or not. It is assumed that the population standard deviation of net incomes for sole-proprietor CPAs is $14,530. 7. Summarize the hypothesis for this test. (what is the hypothesis test?) 8. What is the critical value? 9. Using $\alpha = .05$, What is the critical value? 10. Using the same $\alpha$, report p-value. 11. What is your decision about the test? 12. What is 95% confidence Interval for the test?

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You are given the graph of a function f. Determine the relative maxima and relative minima, if any. (If an answer does not exist, enter DNE.) y 15 10 5 -5 5 relative minimum smaller x-value (x, y) = relative minimum larger x-value (x, y) = relative maximum (x, y) =

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12. A car has initial velocity of 88 m/s, and then slows down to 28 m/s. During this time, the car travels a distance of 1470 m. A) What is the acceleration of the vehicle? B) How long does it take the vehicle to slow down?

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Consider a prism made of N-BK7 glass. As with other types of glass, the index of refraction depends on the wavelength of the incident light. This is called dispersion which leads to a separation of colors as shown in the figure below. The dependence of the index of refraction on the wavelength is shown in the graph below. What is the angular dispersion of visible light passing through a prism of apex angle 60.0\(^{\circ}\) if the angle of incidence is 50.0\(^{\circ}\)? (Recall that red light is near 700 nm and violet light is near 400 nm.) (Also note that you are looking at the angular dispersion after completely passing through both surfaces of the prism.)

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7. Convert 2.45 into a fraction in its simplest form.

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