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Question 6 4 pts A parallel-plate capacitor has a capacitance of 8 $\mu F$ with air between the plates. The capacitor is connected to a 7.1-volt battery and charged. The battery is then removed. When a dielectric is placed between the plates, a potential difference of 2.2 V is measured across the plates. What is the dielectric constant of the material?

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What happens in the secondary market? A. already issued stocks or bonds are sold from one investor to another B. a corporate financial manager will raise funds for expansion of the firm C. newly issued bonds are sold by the borrowing firm to the initial buyer D. secondary inputs like electricity are sold

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How to solvea rectangular field is 3 times as long as it is wide If the perimeter is 420 yards, what are the fields dimentions?

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Sketch the following curve, indicating all relative extreme points and inflection points. y = 2x^3 - 3x^2 + 3 The relative extreme points are (Type an ordered pair. Simplify your answer. Use integers or fractions for any numbers in

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15. Steve files as a Single filer for 2022 with income from Self-employment of $40,000, he pays Health Insurance of $10,000 and has no other itemized deductions, which of the following is true about his estimated tax requirements?* Steve does not need to make estimated taxes because he is self-employed Steve's health insurance payments will create an itemized deduction that will stack on top of his standard deduction and eliminate all of his taxable income Steve must make quarterly estimated tax payments to cover his income and self-employment taxes Steve's estimated taxes are covered through withholding as part of his health insurance payments 16. Jack is self-employed as an Uber driver, where would he report this income on his tax return?* Schedule A - Itemized Deductions Schedule D - Capital Gains and Losses Schedule SE - Self Employment Tax Schedule C - Profit and Loss from a Business 17. Schedule C offers places to deduct all of the following except:* Car Expenses Inventory Expenses Health Insurance Expenses Supplies Expenses 18. Which of the following is true about owning stock in a corporation:* Corporate ownership never leads to income taxation Corporations pay taxes once and the shareholders get distributions of earnings tax free Corporation dividends are taxable to the shareholder Sale of Corporate stock is tax exempt

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2. (10 points) Suppose X has PDF $f_x(x) = \begin{cases} x^3/4, & 0 < x < 2 \\ 0, & o/w \end{cases}$ and Y has PDF $f_y(y) = \begin{cases} 5y^4/32, & 0 < y < 2 \\ 0, & o/w \end{cases}$. Assume X and Y are independent, and let Z = X + Y. Find the PDF of Z.

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Use the References to access important values if needed for this question. In the laboratory, a general chemistry student measured the pH of a 0.326 M aqueous solution of aniline, C$_6$H$_5$NH$_2$ to be 9.178. Use the information she obtained to determine the $K_b$ for this base. K$_b$(experiment) =

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Print Item Picture It Inc. manufactures customized wooden frames. The direct materials needed to construct the frames are wood, glass, and cardboard. Picture It has 16 employees who work for 40 hours in a work week and are each paid $12 per hour. The company produced and sold 800 frames in the month of September. During the month of September the following purchases were made to produce the 800 frames: Wood-5,000 ft. at $1.20/ft. Glass-400 pieces at $5.60/piece Cardboard-450 pieces at $0.50/piece Note: Round all values to 2-decimals and then use in subsequent calculations. 1. Calculate the total product cost for the month. Assume that all employees worked for 4 weeks in September and that the company incurred $62,120 as manufacturing overhead costs. Enter your answer to whole dollar. 101,305 X 2. Calculate the per unit cost. Enter your answer to two decimal places. 126.63 ? 3. Calculate the gross margin for the month of September assuming that the company sells each frame for $230. Enter your answer to whole dollar. 82,695 X

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Question 10 5 pts Determine the velocity (m/s) of point B at the instant shown in the figure. $V_A = 20$ m/s to the left. Use positive number for final answer B 1.5 m $\theta = 30^\circ$

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4. Offshore oil drilling model: A large portion of an offshore oil drill is a long cylinder (diameter D and length L) that lowers the drill head to the ocean bed. The water flow (velocity V) over the cylinder creates vortex shedding (eddies), which create an oscillatory force on the cylinder. The frequency of the oscillatory force is the same as the vortex shedding frequency ($f_v$). If $f_v$ is in resonance with the natural frequency of the structure ($f_n$), large amplitude oscillations of the cylinder will occur that can destabilize and even damage the drilling equipment. Such large amplitude oscillations are called vortex-induced vibrations (VIV). A team of engineers are required to examine the VIV of their new drill design before building the full-scale prototype. (a) How can they achieve full similarity between their model and the full-scale drilling prototype? (b) The flow current velocity at the drilling site is around 5 m/s. If the model is 10 times smaller than the prototype, and the natural frequency of the model is 10 times greater than the prototype, what should be the flow velocity for the model to achieve full similarity? Can the full similarity be achieved with the same fluid properties as the sea water for the full-scale prototype? What are the fluid properties for the model to achieve full similarity? (c) When the full similarity is achieved, the measured vibration amplitude in the model was 10 mm. Based on this measurement, what will be the vibration amplitude for the full-scale prototype?

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kimberly h.