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QUESTION 7-1 POINT Determine the magnitude and direction of the vertical shift and the phase shift for the function below. $$f(x) = \sin(x - \frac{\pi}{3}) - 3$$ Select the correct answer below: The vertical shift is 3 units up, and the phase shift is $\frac{\pi}{3}$ units left. The vertical shift is 3 units down, and the phase shift is $\frac{\pi}{3}$ units right. The vertical shift is $\frac{\pi}{3}$ units down, and the phase shift is 3 units right. The vertical shift is 3 units down, and the phase shift is $\frac{\pi}{3}$ units left. The vertical shift is 3 units up, and the phase shift is $\frac{\pi}{3}$ units right. The vertical shift is $\frac{\pi}{3}$ units up, and the phase shift is 3 units left.

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In a normal distribution, most (68.26%) of the scores fall within 1 SD of the mean. Group of answer choices True False

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"A company can borrow money at a preset rate from the bank at any time without seeking approval of the loan each time it needs funds" is a description of what type of loan? A. Discount loan B. Straight loan with preset payment schedule C. Line of credit D. Compensating balance loan

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III. Answer the following word-problem. 1. The math club wants to rent a mini bus for the club's yearly outing. The rent is \( P 5000.00 \) which will be divided among the members that agree to join. So far, only 5 have signed up. a. At this time, what is the cost for each member? b. By making a table, show what happens to the cost per member as additional members agree to join. c. Write the function for the cost per member related to the number of additional members that agree to join.

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1. You need to torque a fastener to 20 Newton-meters (Nm), and your wrench is calibrated in pound-feet (lb-ft). The fastener should be torqued at A. 58.6 lb-ft. B. 10.6 lb-ft. C. 14.7 lb-ft. D. 25.6 lb-ft.

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\[ \begin{array}{l} \frac{[25 \times N)-\left(W, N N+N H_{4}^{4} S(N)\right]}{1000} \times M_{r} \text { of } N_{a} \\ \frac{(25 \times 0,1)-(25 \times 0,1)}{1000} \times 23 \end{array} \] MOIStuRE CALCULATIONS SAMPLE 1 \[ w_{0}=37,71489 \] \( W_{0}=38,0457 \mathrm{~g} \)

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A baseball is hit almost straight up into the air with a speed of 23 m/s ..Estimate how long it is in the air.

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24. Convert the Babylonian approximation 1;24,51,10 to $\sqrt{2}$ to decimals and determine the accuracy of the approximation.

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18. Lately my cells have been having a lot of trouble with malfunctioning ribosomes. What might be wrong with me? A. I'm having problems with protein manufacture. B. I've been mutating a lot during reproduction. C. I'm having problems recycling cellular garbage and digesting cellular refuse. D. I'm unable to hold my organelles in place. E. I'm unable to use oxygen in aerobic respiration. 19 When we say that blood is hypotonic to seawater, this means that: A. There are fewer solutes dissolved in blood that in seawater. B. There are more ions dissolved in blood than in seawater. C. The concentration of water is greater in seawater. D. The concentration of salt is less in seawater. E. A and D are both correct. 20. Here's a question about the Q10 rule. Assume you are an ectothermic lizard (cold-blooded), which means your body temperature depends on the ambient (surrounding) air temperature. What would happen if, after crawling out of the lecture room where it's about 21°C, and your breathing rate was 6 breaths per/minute, you basked outside on a hot day and reached a new body temperature of 40°C? A. Your breathing rate would double. B. Your breathing rate would increase to well over 24 breaths per minute. C. Your breathing rate would increase to almost 24 breaths per minute. D. Your breathing rate would decrease to less than 1.5 breaths per minute. E. Your breathing rate would increase to almost 60 breaths per minute.

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PART C (20 marks) - Numerical Calculations Show all calculations 16. [20] Internal Pipe Flow A 10-m long pipe and 1cm-inner-diameter pipe made of commercial steel is used to heat a liquid in an industrial process. Liquid enters the pipe at $T_i = 25^\circ C$, $u = 0.8 m/s$. A uniform heat flux is applied over the surface by an electrical heater, so that the fluid exits the pipe at $T_e = 75^\circ C$. Assume fully developed flow and take the average fluid properties to be $\rho = 1000$ $kg/m^3$, $C_p = 4000 J/kgK$, $\mu = 1.6 \times 10^{-3} kg/ms$, $k = 0.48 W/mK$, and $Pr = 10$. Heat transfer to the surroundings is negligible. liquid 0.8m/s $T_i = 25^\circ C$ $D = 1 cm$ $L = 10 m$ Calculate the pipe inner pipe surface temperature at the exit? $T_e = 75^\circ C$

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