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What is considered normal respiration/ventilation rate for adults? A) 5-10 breaths per minute B) 12-20 breaths per minute C 20-30 breaths per minutes D) 32-40 breaths per minute

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A 2.1 \times 10^3-kg car starts from rest at the top of a 5.2-m-long driveway that is inclined at 17^\circ with the horizontal. If an average friction force of 4.0 \times 10^3 N impedes the motion, find the speed of the car at the bottom of the driveway.

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How to solve three to the power of X equals four to the power of 2X -5

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When following the scientific method, what step comes after you have run your experiment and collected your data? O You consult a senior scientist and have them evaluate your work. O You develop a hypothesis based upon the data. O You redesign the experiment and collect more data. O You draw a conclusion based upon the data that you collected.

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9. $ 6 x^{2}=x^{2}+5 x $ $ \square $ 11. $ 3 x^{2}-5 x=14-4 x $ 12 $ \square $ 13. $ 4 x^{2}-6 x+1=6 $ 15. $ 16 x^{2}+7=16 $ 16 $ \square $

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Consider the following system of two interconnected tanks that each have inflow and outflow of a salt-water mixture: 3 gal/min water with 4 gol/min water with 1/2 48/801 solt 20 gallons 4 801/min of water; Q. kg solt 1801/min I gal/min ? 1 ng/gol sala 10 gallons of water; Q2 kg salt 16 gol/min 1. Derive a differential-equations model for the amounts Q1(t) and Q2(t) of salt in the left and right tank, respectively, in the form $\frac{dQ}{dt} = AQ + b = \begin{pmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{pmatrix} \begin{pmatrix} Q_1 \\ Q_2 \end{pmatrix} + \begin{pmatrix} b_1 \\ b_2 \end{pmatrix}$, $Q = \begin{pmatrix} Q_1 \\ Q_2 \end{pmatrix}$, (1) where $b \in \mathbb{R}^2$ and A is a 2 x 2 matrix. In particular, determine the value of all constants appearing in (1) based on the sketch above. Hint: Do not forget to check the water levels in each tank. 2. Show that Q(t) = Q* for all t is a solution of (1) for each Q* that satisfies AQ* + b = 0. 3. Find all Q* ? R2 for which AQ* + b = 0.

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Obtain the general solution to the equation.\\ $\frac{dy}{dx} = \frac{y}{x} + 3x + 4$\\ What is an integrating factor for the equation? Do not include arbitrary constants in the answer.\\ $\mu(x) = $\\ The general solution is $y(x) = $, ignoring lost solutions, if any.

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Consider the following circuit. Which results are true for the solution of the circuit if Is=5A, R1=10\Omega, R2=12\Omega, R3=8\Omega, L=3H, C=1/48F, Vs=6u(t)V Is R1 Select one or more: a. The value of Vc at t=0 is 20V b. Circuit reaches the steady state conditions in 1 second c. One of the coefficients of Vc is 2 d. Initial value of $i_L$ is 5/3A e. For t\to\infty the steady state value of Vc is 56V

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Circularly Polarized Patch Antenna For S-Band Satellite Applications S-Band Patch Antenna for Small Satellite Applications Lp Ls Ls Feed Point Ls LS Sloted Point Table 1. Proposed Antenna Specification with Different Parameters Parameters Values(mm) Description L 40 Length of ground plane Lp 26 Length of patch Ls 3 Length of area etched from patch (b) Bottom view h 1.6 Height of substrate Sh 1.15 Horizontal slot Sv 1.13 Vertical slot r 1.5 Radius of circle (a) Top View (c) Side view Figure 1. Geometry layout of presented antenna 13

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4.4 Trig Functions: Problem 4 (3 points) Find the reference number for each value of t. (a) If $t = \frac{2\pi}{3}$, the reference number is $\bar{t} = \[\]$ (b) If $t = \frac{3\pi}{4}$, the reference number is $\bar{t} = \[\]$ (c) If $t = -\frac{2\pi}{3}$, the reference number is $\bar{t} = \[\]$ (d) If $t = \frac{13\pi}{4}$, the reference number is $\bar{t} = \[\]$ (e) If $t = \frac{7\pi}{6}$, the reference number is $\bar{t} = \[\]$ (f) If $t = -\frac{11\pi}{3}$, the reference number is $\bar{t} = \[\]$

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francisca c.