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Class: SS1 Subject: FURTHER MATHS Solve the following questions: 1. $x^x = 9^x + 81$ $9^x - 9^{-x}$ 2. $\frac{9^x - 9^{-x}}{3^x + 3^{-x}} = -81 \times 3^x$ 3. If $x \sqrt{\frac{2}{x - 1}} = (x - 1)^{x - 2}$ 4. If $x^{x^2} = (\frac{1}{\sqrt{2}})^\frac{1}{4}$ find x

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13. [-/1.33 Points] DETAILS MY NOTES LARAT11 1.4.108. PRACTICE ANOTHER Use the position equation given below, where s represents the height of the object (in feet), $v_0$ represents the initial velocity of the object (in feet per second), $s_0$ represents the initial height of the object (in feet), and t represents the time (in seconds), as the model for the problem. $s = -16t^2 + v_0t + s_0$ An aircraft flying at 400 feet over level terrain drops a supply package. (a) How long does it take until the supply package to strike the ground? (Round your answer to three decimal places.) t = sec (b) The aircraft is flying at 142 miles per hour. How far does the supply package travel horizontally during its descent? (Round your answer to one decimal place.) ft Need Help? Submit Answer

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What’s the most efficient method for managing permissions for multiple IAM users? Group of answer choices Assign users requiring similar permissions to IAM roles. Create roles based on IAM policies and assign them to IAM users. Assign users requiring similar permissions to IAM groups. Assign IAM users permissions common to others with similar administration responsibilities.

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A uniform, solid cylinder of mass $ m_{\mathrm{c}}=4.43 \mathrm{~kg} $ and radius $ R=0.4 \mathrm{~m} $ with $ I_{\mathrm{cm}}=\frac{1}{2} M R^{2} $ is attached at its axle to a string. The string is wrapped around a small "ideal" pulley (negligible friction, $ I_{\mathrm{cm}} \approx 0 $ ) and is attached to a hanging block of mass $ m_{\mathrm{b}}=2.45 \mathrm{~kg} $ as indicated in the above figure. You release the objects from rest and the cylinder rolls without slipping. Acceleration of Block What is the magnitude of the acceleration of the block? Click here for a hint \[ a=2.642 \mathrm{~m} / \mathrm{s}^{\wedge} 2 \]

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Which of these is a tool that automatically distributes incoming traffic across multiple network paths to reduce bottlenecks? Load balancer Uninterruptible Power Supply (UPS) Storage Area Network (SAN) Managed power distribution unit (PDU)

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Thinking back to what you know about the central dogma and the processes of transcription and translation. If you were to carry out in vitro transcription and translation, list all of the components that you think you would need to put in that test tube along with your plasmid.

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Application Section The objective of this section of the assignment is to compare and contrast the Canadian Federal Labour Code and the Nova Scotia Labour Code. By examining the key provisions, regulations, and rights within these codes, you will gain an understanding of the similarities and differences between federal and provincial labor laws in Canada. Instructions 1. Research • Conduct research to understand the Canadian Federal Labour Code and the Nova Scotia Labour Code. • Familiarize yourself with the key provisions and regulations within each code. 2. Comparison Chart Create a comparison chart highlighting the similarities and differences between the two codes. Include the following elements: a. Scope: Describe the jurisdiction and coverage of each code (e.g., federal jurisdiction vs. provincial jurisdiction). b. Employment Standards: Compare the provisions related to minimum wage, hours of work, overtime, holiday and vacation entitlements. c. Leaves and Absences: Compare the provisions regarding sick leave, maternity/paternity leave, bereavement leave, and other types of leaves available to employees. d. Termination and Severance: Compare the regulations surrounding termination notice, severance pay, and the circumstances under which an employer can terminate an employee. e. Unionization and Collective Bargaining: Compare the rules and processes related to unionization, certification, and collective bargaining rights for employees. f. Enforcement and Penalties: Compare the enforcement procedures and penalties for non-compliance with the labor laws in each jurisdiction. 3. Conclusion Summarize your findings and conclude the assignment by identifying any potential areas for improvement in either code and offering your insights on the importance of effective labor laws in promoting fair and safe workplaces.

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What are the slope and y-value at the y-intercept of the line: y=3x-5 ?

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? $Q_H$ Steam generator Turbine ? Pump Condenser $-W_f$ $-Q_L$ $P_1 = P_4 = 20 \text{ MPa}$ $T_1 = 1273 \text{ K}$ $P_2 = P_3 = 15 \text{ kPa}$ $T_3 = 30 ^\circ \text{C}$ $W_T$

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Calculate the approximate number of firms in the long run (round down to the nearest integer). 37 pizza delivery firms + points Banerjee Econ1 9.R.003. In the market for a product, there are 50 identical competitive firms, each firm having the cost function $c(q) = 32 + 4q + 0.5q^2$ where $q$ is the quantity of output in tons produced by each firm. The market demand curve is given by $Q = 780 - 20p$. (a) Find the market equilibrium price $p^*$ and quantity produced by each firm, $q^*$. p = $ $q^* = $tons (b) A permanent increase in demand shifts the market demand to $Q^d = 850 - 20p$. What will be the approximate price p** (up to two decimal places) in this market in the short run? p** = $ (c) Given the permanent increase in demand, how many firms will there be in this market in the long run after entry or exit? (Round your answer down to the nearest integer) firms -18 points Banerjee Econ1 9.R.004. My Notes Ask Your Teacher In the market for manhole covers, there are 120 identical firms, each firm having the cost function $c(q) = 0.5q^2 + 4q + 32$ where $q$ is the number of manhole covers produced by each firm. The market demand curve is given by $Q(p) = 2160 - 100p$ (a) Find a firm's individual supply curve $q^s(p)$ and the market supply curve $Q(p)$.

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morgan m.