Numerade

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Which is not an accurate statement about otoacoustic emissions? The activity of the motor neurons enhances the movement of the basilar membrane to amplify the response of the inner hair cells to sound waves. The emissions are produced by the vibrations of the outer hair cells in response to signals from motor neurons that innervate the cochlea. The recording of otoacoustic emissions is used in screening newborn for hearing loss since the emissions are absent or diminished when a child is deaf. The emissions are recorded by surgically inserting electrodes into the cochlea to measure their electrical activity.

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Your city is planning a stormwater drainage improvement project to mitigate flooding in residential and commercial areas, which has a construction cost due at the end of the first year of $8 million, second year of $5 million, and third year of $3 million. It is completed at the end of the third year and thereafter incurs an annual operating cost of $451000 per year (due at the end of each year). Benefits from the project, such as traffic delay reduction and safety improvements, also begin during the fourth year and are valued at $2.3 million available at the end of that year, growing at a 2% compound rate of increase out to the service life (analysis period) of 27 years. The compounded annually interest rate is 5%. Compute the following: present worth cost, present worth benefit, and present worth net benefit of the project. Question 1 Calculate the present worth of the cost (in million $) (Round your answer to six decimal places.)

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In motivational interviewing, which technique involves helping clients identify discrepancies between their current and desired behaviors? Developing discrepancies Rolling with resistance Supporting self-efficacy Providing affirmations

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Refer to the weighted voting system [ 17: 9, 6, 4, 3, 2, 1 ]. According to Shapley – Shubik a. How many sequential coalitions exist? b. Which member(s) of the sequential coalition is pivotal?

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(1 point) Find y as a function of x if \newline $y''' - 8y'' - y' + 8y = 0$, \newline $y(0) = 9$, $y'(0) = 6$, $y''(0) = -117$. \newline $y(x) = $

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4.5 Derive the Black-Scholes solution given in Example 4.7 from the solution given for linear time-invariant models with multiplicative noise in Example 4.6.

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21. [6pts] A Pizza shop sells pizzas in four different sizes. If X denotes the size (diameter) of the pizza ordered, based on last year's sales, the following information was obtained: X 12" 14" 16" 18" P(x) .15 .25 .40 .20 a. Let F(x) denote the cdf of X. Find F(x) b. Calculate the expected value (mean) of X. $\text{mean} = \frac{x_1 + x_2 + ... + x_n}{n} = \frac{12 + 14 + 16 + 18}{4} = \frac{60}{4} = 15$

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nine the required value of the missing probability to make distribution a discrete probability distribution. P(4) = \boxed{} (Type an integer or a decimal.) \begin{array}{|c|c|} \hline x & P(x) \\ \hline 3 & 0.28 \\ \hline 4 & ? \\ \hline 5 & 0.47 \\ \hline 6 & 0.08 \\ \hline \end{array}

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5. Air enters a radial blower with zero angular momentum. It leaves with an absolute tangential velocity, $V_\theta$, of 200 ft/s. The rotor blade speed at rotor exit is 170 ft/s. If the stagnation pressure rise across the rotor is 0.4 psi, calculate the loss of available energy across the rotor and the rotor efficiency. [13 points] Note: this problem uses the modified Bernoulli equation as well as the moment-of-momentum equation.

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1. (30pts) A particle in three dimensions has Hamiltonian $H(\vec{r}, \vec{p}) = \frac{|\vec{p}|^2}{2m} + V(\vec{r})$, where $|\vec{p}|^2 = p_x^2 + p_y^2 + p_z^2 = p^2$ and $V(\vec{r}) = V(x, y, z)$. Find $\frac{d}{dt} \langle \vec{r} \cdot \vec{p} \rangle$. What is the relationship between the mean kinetic energy and mean potential energy in a stationary state when the potential energy has the form $V(r) = Cr^q$, where q is some power, $r = |\vec{r}|$, and C is some constant? You have just derived the Virial Theorem in quantum mechanics. Apply this theorem to the Coulomb problem q=-1 and to the 3D harmonic oscillator q=2.

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abigail n.