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Let \theta be an angle in guadrant II such that cos\theta =-(5)/(8). Find the exact values of csc\theta and cot\theta . csc\theta = ◻ \sqrt() ◻ ◻ ◻ cot\theta = ◻

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A scientist wants to determine whether or not the height of cacti, in feet, in Africa is significantly higher than the height of Mexican cacti. He selects random samples from both regions and obtains the following data. Africa: Mean = 12.1 Sample size = 201 Mexico: Mean = 11.2 Sample size = 238 (a) Which of the following would be the correct hypothesis test procedure to determine if the height of cacti, in feet, in Africa is significantly higher than the height of Mexican cacti? Paired t-testTwo-sample test for proportions Two-sample t-test (b) What is the value analogous to the sample statistic to test those hypotheses? (2 decimal places) (c) If the T test statistic is 2.169, and df = 202, find the p-value.

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8. Draw the product(s) for each of the following reactions. Be sure to include stereochemistry if relevant (i.e. you do not need to draw both enantiomers, but you must draw relative stereochemistry and any diastereomers). HO Ph TSOH (cat) OH Dean Stark

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A Trillion Dollars of Student Loans (1) It was estimated that, in the United States, the total student loan debt surpassed total credit card debt and auto loans for the first time in 2011, with total student loan debt reaching the $1 trillion mark. (a) Write this total loan amount in standard form (written out with all the zeros). $ I don't know 2 attempts Hint

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Growth and Development are the main focus of the US Economy in the current situation. To develop the government can borrow money from the world bank, IMF and IBRD, or any other international Banks like ADB. The money so taken as a loan can be focused on both the development of infrastructure and urbanization plans. If we talk about the sectoral contribution on the growth of the GDP of an economy, we can see that the Tertiary sector plays a very important part, but as the tertiary sector doesn’t lead to much employment and does not create as many jobs as the secondary and primary sector, California is experiencing a condition called Jobless Growth. Development of industries and technology needs to be done in California so that there is more employment generation, and the economy develops with a long-term perspective. What do you mean by the term “Jobless Growth”? If economic growth is driven by obsolete technology but there is an improvement in the rate of participation in the economy, such growth is called ‘Jobless Growth’. Economy cannot develop without employment growth. Why and why not?

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(1 point) Find the second-degree Taylor polynomial for $f(x) = 5x^2 - 6x + 7$ about $x = 0$. $P_2(x) = $ What do you notice about your polynomial?

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HW 15: Linear Systems Theory (LST) Score: 0.25/10 0/10 answered Question 6 Expert: Use substitution to solve a system of two equations. Find parallel and perpendicular lines to a given line. Use elimination to solve this system of linear equations. $5x + 4y = 45$ $3x - 5y = -10$ Select the correct choice below and, if necessary, enter an ordered pair $(x, y)$ to complete your answer. No solution Infinite number of solutions Question Help: Video Submit Question

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12.A medication is available as 100 ma/2mL.The physician ordered 0.5 g.The nurse would give .mL. 13.The physician ordered 1.5 mg of a drug to be given before breakfast.The medication was available as 0.003 g /tablet,The nurse would give tablet(s). 14.A medication ls available as 0.04 g/2 mL.The physician ordered 20 mg with dinner.The nurse would advise the patient to take mL. 15.The physician ordered 0.6 g of a medication 1-hour before meals.The medication was available as 300 mg/5 mL.The nurse would give 16.A medication is avallable as 2.5 mg/5 mLThe physician ordered a 5 mg oral suspension.The nurse would give teaspoons. 17.The physician ordered 60 mg of a drug,twice daily.The medication was available as 0.03-mg tablets.The nurse would give tablet(s),twice daily. 18.An oral suspension is available as 125 mg/2.5 mL.The physician ordered 375 mg.The nurse should give mL 19.An elixir is available as 5 mEq/10 mL.The physician ordered 15 mEq,three times daily.The nurse would give ounce(sper dose 20.The physician ordered 0.06 g of a medication that is available as 30-mg capsules.The nurse would give capsule(s). 21.A medication is available as 15 mg/5 mL.The physician ordered 30 mg in the morning before breakfast. The nurse would advise the patient to take teaspoon(s). 22.The physician ordered 450 mg of a medication that was available in scored 300-mg tablets.The nurse would give tablet(s). 23.An elxir is labeled 125mg/5 mL.The physician ordered 0.25 g once daily. The nurse would give mL. 24.The physician ordered 0.3 g of a diuretic.The medication was avallable as 150-mg tablets.The nurse would give tablet(s).

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Question No.1: Let $\vec{p} = 12t^2 + t^3$ and $\vec{q} = 2t - 1$ be the polynomial vectors. Show that whether they are orthogonal to each other or not. Also construct the orthonormal vectors of $\vec{p}$ and $\vec{q}$. Question No.2: For vectors $\vec{u} = (u_1, u_2)$ and $\vec{v} = (v_1, v_2)$ in $\mathbb{R}^2$. Show that the following forms an inner product in $\mathbb{R}^2$ $< \vec{u}, \vec{v} > = 4u_1v_1 + 5u_2v_2

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Q) [Marks 100] A) [20 Marks]: Modelling and open loop analysis Briefly discuss (step by step) how to find the average model of duty-to-output voltage ($G_{dv}$) for DC-DC converter in equation 1. [5 Marks] Assume the converter has the following values: $V_{in} = 24$ V, $V_o = 5$ V, $f_s = 60$ kHz, $R_o = 12$ ?, $L = 120$ ?H, $C = 500$ ?F. $\frac{v_o(s)}{d(s)} = \frac{V_{in}}{LC} \left\{\frac{1}{s^2 + s\left(\frac{1}{R_o C} + \frac{1}{LC}\right)}\right\}$ (1) 1- Plot the step response of $G_{dv}$ at duty ratio ($d = \frac{V_o}{V_{in}}$). [5 Marks] 2- Record the time domain characteristics of $G_{dv}$ in terms of maximum overshoot, type of the response, settling time, and steady-state error. Support your answer numerically. [5 Marks] 3- Is the converter stable? Justify your answer based on bode plot analysis. [5 Marks]

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