Numerade

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code class="asciimath">what is the total payment required to pay off a promissory note issued for $450.00 at 8% ordinary interest and a 90 day term

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Find the following limit without using a graphing calculator or making a table.\\ $\lim_{x \to 2} (5x^2 - 4x + 9)$

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III. Throwing Apples - Describing Velocity and Acceleration for Projectile Motion A. Now let's think about a different scenario. Two sisters are tossing an apple back and forth between them. The sketch below shows the path the apple followed when watched by an observer looking on from the side. The apple is moving from the left to the right. Five points are marked on the path. Ignore air resistance.

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Find the domain of the function. \frac{x}{x^2 + 10x + 21} What is the domain of the function $g(x)$? A. \{x \mid x \neq 0\} B. \{x \mid x \neq 3\} C. \{x \mid x \text{ is a real number}\} D. \{x \mid x \neq -3 \text{ and } x \neq -7\}

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Problem 3 - Bonding (15 points) For a hypothetical $X^+ - Y^-$ ion pair, the bonding energy equation is given as follows: $E_N = - \frac{2.39}{r} + \frac{1.88 \times 10^{-5}}{r^{10}}$ (eV); (r is in nm) (a) Find the equilibrium distance and energy. (b) Determine the attractive and repulsive forces at the equilibrium distance.

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How many different ways can the letters of \"recommend\" be arranged? If the letters of \"recommend\" are arranged in a random order, what is the probability that the result will be \"recommend\"? The number of different ways that the letters of \"recommend\" can be arranged is (Type an integer or a simplified fraction.)

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Read the following narrative and submit the requested diagrams below. Patrons at an amusement park are able to load credits onto their wristbands to pay for games and food while in the park. When a patron wishes to reload the wristband, they enter their wristband ID and PIN into the "load credits" webpage and then the system retrieves and displays their current account information. The patron then adds their payment and amount details and confirms to save credits to their account. Once saved, the system displays the new balance of their account. 1. Write the Flow of Events for the "Load Credits" use case described above, including one alternate path. Use Visual Paradigm to store the flow of events (you will need to create a use case diagram first with one use case for "Load Credits"). Submit a picture of your steps completed in Visual Paradigm or equivalent (5 marks) Label it with your name and the question number (for example 1.1). 2. Create the wireframe for just the first screen of the load credits webpage. Your Wireframe will be evaluated along the UI design criteria discussed in class. Submit a picture of the wireframe to the DropBox. Label it with your name and the question number (for example 1.2) (5 marks) 3. Create the domain class diagram showing relationships amongst only the classes used in your use case. Include multiplicities and associations. Label it with your name and the question number (for example 1.3) (5 marks)

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3-Find DC gain, natural frequency, damping coefficient and damped-natural frequency (if applicable) for the following 2nd order transfer functions. Also, comment by stating which one is under-damped, over-damped and critically damped.\\ \\ $\bullet$ $G1(s) = \frac{s}{0.2s^2+1+3s}$\\ $\bullet$ $G2(s) = \frac{s+2}{s^2+0.1s+5}$\\ $\bullet$ $G3(s) = \frac{s}{0.2s^2+1}$

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JAVA question [5 points] Write a recursive algorithm for reversing a singly linked list L, so that the ordering of the nodes becomes the opposite of what it was before.

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(c) Sharifah cut out two quadrants from the two corners of a piece of rectangular shape cardboard as shown in the diagram below. wcm kcm +7 cm (i) Construct a formula for the perimeter, P cm, of the remaining cardboard. 22 (Use $\pi = \frac{22}{7}$) (ii) Find the value of P when $k = 15$ and $w = 12$. [2 marks] [1 mark]

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brett k.