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the volume of gas measured at 25\deg C and 1.0 ATM pressure is 10.0 L what must the final temperature be in order for the gas to have the final volume of 7.3 L and A 1.0 ATM

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\[ \begin{array}{l} P=\sigma A \\ \text { where: } \\ P=400 \mathrm{kN}=400000 \mathrm{~N} \\ \sigma=120 \mathrm{MPa} \\ A=\frac{1}{4} \pi D^{2}-\frac{1}{4} \pi\left(100^{2}\right) \\ A=\frac{1}{4} \pi\left(D^{2}-10000\right) \end{array} \] Thus, \[ \begin{array}{l} 400000=120\left[\frac{1}{4} \pi\left(D^{2}-10000\right)\right] \\ 400000=30 \pi D^{2}-300000 \pi \\ D^{2}=\frac{400000+300000 \pi}{30 \pi} \\ D=119.35 \mathrm{~mm} \quad \text { answer } \end{array} \]

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light. Light therapy is commonly used in physical therapy. Please describe in what forms this light therapy could be produced and for what types of conditions is it indicated?

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Network Design Main Office (Pretoria)  Network Topology: Star topology with a central switch/router  Internet Connection: Fiber-optic connection with a minimum speed of 1 Gbps  Wireless Network: Multiple Wireless Access Points (WAPs) to ensure full coverage and handle high user density  Security: WPA3 encryption, VLAN segmentation, firewall, and intrusion detection/prevention systems  Redundancy: Dual internet connections and backup power supplies (UPS)

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Actual Math for Liberal Arts Summer 2024 8 ? Test: Exam 3 - This test: 39 point(s) Chapters $ 9,13,14 $ Question 22 of 39 possible This question: Submit test 1 point(s) possible Question list If the odds against event $ E $ are 3 to 1 , what is the probability of $ E $ ? Question 22 The probability of event $ E $ is $ \square $ (Simplify your answer.) Next

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Calculate the root-mean-square (rms) speed (in m/s) of ethane (C2H6) gas molecules at a temperature of 510 K.

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22. These laws passed in the late 1600s were designed to regulate a slave's life and formalized race-based slavery in the colonies. Jim Crow Laws. Slave Codes. Black Codes. Planter Codes.

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The aggregate demand curve will shift to the right ____ the initial decrease in taxes. A. by the same amount B. sometimes by more than and other times by less than C. by less than D. by more than

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Consider the following options. The interest rate is 12%. A. $500,000 today B. A 15-year annuity of $77,000 C. A lump sum of $3,000,000 in 15 years Which option would you choose to pay? Support your answer by providing the PV for each option. Round your answers to the nearest dollar. Use commas if necessary, but do NOT use dollar signs.

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QUESTION 2 (%20): Considering the strong form of the boundary value problem below, derive the weak formulation. (20%) $x^2 \frac{d^2y}{dx^2} + y + 1 = 0$, $1 < x < 2$, y(1) = 2, y'(2) = 3.

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carol r.