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The eel has a certain amount of rotational kinetic energy when spinning at 7 rev/s. If it were to swim in a straight line instead, about how fast would the eel have to swim to have the same amount of kinetic energy as when it is spinning?

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A competition cyclist rides at a constant 10.5 m/sm/s around a curve that is banked at 42.0 ∘∘. The cyclist and her bicycle have a combined mass of 64.0 kgkg. What must be the radius of her turn if there is to be no friction force pushing her either up or down the banked curve? Express your answer with the appropriate units. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type RR = nothingnothing SubmitRequest Answer Part E What is the magnitude of her acceleration? Express your answer with the appropriate units. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type aradarad = nothingnothing SubmitRequest Answer Part F What is the magnitude of the normal force that the surface of the banked curve exerts on the bicycle? Express your answer with the appropriate units. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type nn = nothingnothing SubmitRequest Answer

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CONCEPT CHECK: ECU was one of the first universities to recognize the opportunities of online education. ECU took a risk by being one of the first to offer degrees completely online. Other NC institutions then followed our model. Which type of adaptive strategy did ECU use? CONCEPT CHECK: ECU was one of the first universities to recognize the opportunities of online education. ECU took a risk by being one of the first to offer degrees completely online. Other NC institutions then followed our model. Which type of adaptive strategy did ECU use? Calculator Reactor Prospector Analyzer

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Warren is an investor who started investing in the market a year ago. He invested $100,000 in XYZ stock, ABC stock for $300,000, and deposited $100,000 in a bank account. It has been a year and since then, the price of stock XYZ has appreciated by 10% and the return of stock ABC is 7%. The bank account has an annual interest rate of 4%. What is the return of his entire portfolio? Let's use two methods to calculate the portfolio return. Method 1: Using the definition of return. The portfolio ending value is $ . The return is % Please enter your answer on return as a percentage. Round your answer to two decimal places. For example, if your answer is that the portfolio return is 5.25%, please enter 5.25. Do not add the percentage symbol %. Method 2: Using the weighted-average method. The portfolio weights are , , Please remove all the trailing zeros. The return is %.

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Let H be the set of third degree polynomials H space equals space open curly brackets a x space plus thin space a x squared space plus thin space a x cubed space vertical line space a element of straight complex numbers close curly brackets Is H a subspace of P subscript 3 ? Why or why not? Select all correct answer choices (there may be more than one).

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Let \{u_1(x) = 9, u_2(x) = -12x, u_3(x) = -8x^2\} be a basis for a subspace of $P_2$. Use the Gram-Schmidt process to find an orthogonal basis under the integration inner product $(f, g) = \int_0^1 f(x)g(x) dx$ on $C[0, 1]$. Orthogonal basis: \{v_1(x) = 9, v_2(x) = -12x + a, v_3(x) = -8x^2 + bx + c\} a = b = c =

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2. A skydiver jump-off from an airplane at a height of \( 2300 \mathrm{~km} \). If the skydiver has a mass of \( 70 \mathrm{~kg} \), find the following neglecting the air friction: a. Time for the skydiver to reach the sea level. b. Energy the skydiver has from the airplane. c. Kinetic energy of the skydiver has at the height of \( 100 \mathrm{~m} \). d. Potential energy the skydiver has at the height of \( 100 \mathrm{~m} \).

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In order for documentation to provide benefits to your company, you must know which form of documentation to use. Which of the following best defines documenting processes and systems? Documenting processes and systems captures the people who work there or the state of its operations and internal controls. Documenting processes and systems creates programs used for moving data into and out of the database. Documenting processes and systems creates documentation that captures both the movement of data within the system and how data is stored in its database. Documenting processes and systems can be documented with a narrative description or a more complex flowchart, which can be costly to build and maintain.

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Data Table 1: Length Measurements Length (cm) CD or DVD Kay Spoon Fork Data Table 2: Temperature Measurements Hot from Tap Boiling Boiling for 5 minutes Cold from Tap Ice Water - 1 minute Ice Water - 5 minutes Length (mm) Length (m) Temperature (°C) Temperature (°F)

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(5 points) Find the Laplace transform $F(s) = \mathcal{L}\{f(t)\}$ of the function $f(t) = e^t - ^6h(t - 6)$, defined on the interval $t \ge 0$. $F(s) = \mathcal{L}\{e^t - ^6h(t - 6)\} = $ help (formulas) NOTE: WEBWork uses $h(t)$ (the Heaviside function) as the unit step function $u(t)$ as used in our text.

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