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[44-3] Exercise designed to see CP as a self-containedmodule:use CP to the get the 1st part of conjunction; use theconditional as a premise to get the 2nd part; & becareful not to take the 2nd part of conjunction from CPC: (H -> M) & ~F1: ~H V ~F2: ~M -> F3: (~H V M) -> ~F 3.50 moles of helium gas, initially at a pressure of 2.80 atm and a temperature of 180.0 C, expands at constant temperature until its volume has tripled. Constant-pressure compression then returns the gas to its initial volume. The gas is ideal, monatomic, and has a molar mass of 4.0026 g/mol. Construct a qualitatively accurate, fully labeled pV diagram representing these two processes, and evaluate the net heat transferred to the gas. The number of bacteria growing in an incubation culture increases with time according to n(t)=3,300(3)^t, where t is time in days. After how many says will the number if bacteria in the culture be 801,900.A. 5 daysB. 10 daysC. 1 daysD. 6 days In the Young's double slit experiment, interforence fringes are formed using Na-light of 589 nm and 589.5 nm. Obtain the region on the screen where the fringe pattern will disappear. You may assume d=0.5 mm and D= 100 cm sin theta = - 7/25 , tan theta > 0 & sec < 0Find cos (2 theta) A 220 g block on a 50.0 cm -long string swings in a circle on a horizontal, frictionless table at 90.0 rpm . You may want to review What is the speed of the block? What is the tension in the string? "Suppose a coil of wire lies in the plane of the page in a uniform magnetic field that is directed into the page. The coil originally has an area of 0.25 m^2. It is stretched to have an area of 0.3 m^2" A car is traveling at a speed of 30 m/s on wet pavement. The driver sees an obstacle ahead and decides to stop. Once the brakes are applied, the car experiences an acceleration of 6.0 m/s2. How far does the car travel from the instant the driver notices the obstacle until stopping? 75 m 22.5 m 98 m 105.5 m Complete a Creative Thinking question and draft at a paragraph(5 - 7) sentences. Select the most appropriate answer for the following questions: (1) If a variable which can assume all values within a certain interval and is divisible into smaller and smaller fractional units is known as (A) Categorical variable (B) Nominal variable (C) Continuous variable (D) Discrete variable (2) On which scale the weight of students is measured? (A) Nominal (B) Ordinal (C) Interval (D) Ratio (3) Categorizing individuals based on socio-economic status is an example of (A) Nominal variable (B) Ordinal variable (C) Interval variable (D) Ratio variable (4) On which type of data, multiplication and division can be carried out directly? (A) Nominal data (B) Ordinal data (C) Ratio data (D) Interval data Prove that \( \sum_{k=0}^{n} r^{k}=\frac{1-r^{n+1}}{1-r} \) using induction. BOTH questions pleaseOur solar system formed from a nebula, the remnants of a past exploding star. When did this process complete for our solar system and the planets all form? In other words, what is the age of the Earth UNIQLO has had strong demand for its products and it entered the growth stage quickly. Which of the following chalienges is most common during this stage? Degleting did leveritories Conducilig new product research Lowering prices Maneging inventeries 1. A refrigerator operates between a hot reservoir that has a temperature of 627 C and a cold reservoir that operates at a temperature of 50.0 C. The refrigerator has a coefficient of performance of 14.5 and pumps 2500 J of heat into the refrigerator to cool the inside. a) [2 pts] create a diagram for the refrigerator? b) [6pts] determine the work done by the refrigerator. c) [5pts] Determine the heat exhausted out of the refrigerator. When it comes to the OODA Loop Model, Decide Model, and Wickens \& Flach Model, please compare an contrast the different models. Which model is more approachable in today's aviation industry. Please elaborate, be detailed, and thorough with your responses. Supporting Trade Restrictions As with any type of policy, Section 5 explains the tradeoffs that we may experience with a free trade policy. Through this, we see that the economy behaves like a web with many interactions and relationships. For this discussion, your task is to: 1. Describe a scenario where a market moves towards free trade. Which groups benefit, and how do they benefit? 2. Explain how some people may be harmed from this market moving towards free trade; does this harm justify enacting protectionist policies? What can we do to mitigate that harm? Learning Objective: 34.5.1 - Assess the complexity of international trade; 34.5.3 - Explain disruptive market change On January 1, 2018, you purchased 1,000 shares of a fund for $20.00 per share. During the year, you received $2.00 in dividends, half of which were from dividends on stock the fund held and half of which was from interest earned on bonds in the fund portfolio. Assuming you are a single taxpayer with income of $100,000, which means that your federal marginal tax rate in 2018 is 24%, how much will you owe in federal taxes on the distributions you received this year?The amount of taxes owed on the distributions you received this year is $ ? A sound wave in air has a pressure amplitude equal to 4.18 10-3 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.5 kHz. (Note: Use the following values, as needed. The equilibrium density of air is = 1.20 kg/m3; the speed of sound in air is v = 343 m/s. Pressure variations P are measured relative to atmospheric pressure, 1.013 105 Pa.) _______________ m? Consider the Taylor polynomial T_n(x) centered at x=24 for all n for the function f(x)=1/x-1, where i is the index of summation. Find the i th term of T_n(x). (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form (1)^i in your answer.)ith term of T-n(x) = _______ An angry rhino with a mass of 3200 kg charges directly toward you with a speed of 4.00 m/s. Before you start running, as a distraction, you throw a 0.180 kg rubber ball directly at the thino with a speed of 6.95 m/s. Determine the speed of the ball (in m/s ) after it bounces back elastically toward you. m/s