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dennis williams

dennis w.

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5. Suppose Neo makes a $8M Series A investment in Matrix for 1M shares at $8 per share. One year later, Matrix fell on hard times and received $6M Series B financing from Trinity Ventures for 6M shares at $1 per share. The founders and the stock pools have claims on 3M shares of common stock. Consider the following cases: Case I: Series A has no anti-dilution protection. Case II: Series A has full-ratchet anti-dilution protection. Case III: Series A has broad-based weighted-average anti-dilution protection. For each case, what percentage of the Matrix (fully diluted) would be controlled by Neo following the Series B investment? What would be the post-money valuations?

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d) Dependence on Elastic Modulus Now, we are trying to indent the plastic with a tip that is not made from steel, but also from a plastic, albeit a stiffer one, Nylon ($E_p$=3 GPa). In cases like this, we need to consider the deformation of both the indenter and the surface. This can be handled by using an "effective modulus" $E_T$ of the system instead, defined as follows. This modulus considers both the modulus of the sample ($E_S$) and the modulus of the probe ($E_P$). In [87]: EqE=Eq(1/ET,1/EP 1/ES) EqE Out [87]: $\frac{1}{E_T} = \frac{1}{E_S} + \frac{1}{E_P}$ What is the effective modulus $E_T$ in this situation? What will be the total deformation $D$ now if 1 N of force is applied? Can you guess which component (tip vs substrate) will deform by how much? e) Scaling Behavior If you double the indentation force by how much will the contact area change? By how much will the indentation depth change? Please rationalize your findings.

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María Fernanda wonders if all four classes in her grade are the same size, so she decides to do a Goodness of Fit test with $\alpha = 0.05$. After looking at the four classes, she finds there are total of 118 students, broken down as shown here. Complete the table. Round your answers to the nearest hundredth. Observed Classroom Number of Expected Number of Students Students 1 28 29.5 2 30 29.5 3 31 29.5 4 29 29.5 What is the null hypothesis? What is the alternative hypothesis? Complete the Goodness of Fit Test. Find either $\chi^2$ or the p-value and enter them below (state which you're giving).

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If I were a school principal, I would implement a flexible approach that takes into account the individual characteristics and interests of students. For example, you can organize extra classes or hobby clubs, as well as apply flexible teaching methods so that each student develops at his own pace. This will help to increase interest in learning and improve academic performance. Secondly, you should eliminate useless administrative tasks, unnecessary paperwork and inefficient use of time. Optimizing processes would ensure that both teachers and students have more time for learning and teaching. Thirdly, respect and loyalty to people is a main principle of Lean, so I would create a collaborative environment in which teachers will have great opportunity to share with each other different practices and learn from each other. Finally, I would involve students in the improvement process, helping them see how Lean principles are applied not only in the classroom but also in everyday life. Such a comprehensive

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(a) Find the polarization of the following fields: (i) \( \quad \vec{E}=(j \vec{x}+\vec{y}) e^{-j k} \) (ii) \( \vec{E}=((1+j) \vec{y}+(1-j) \vec{z}) e^{-j k x} \) (iii) \( \vec{E}=((2+j) \vec{x}+(3-j) \vec{z}) e^{-j \vec{k}} \) (iv) \( \quad \vec{E}=(j \vec{x}+j 2 \vec{y}) e^{+p k} \) \( \vec{x}, \vec{y} \) and \( z \) are the unit vectors in \( x, y \) and \( z \) directions. Find the corresponding \( \vec{H} \) fields for the \( \vec{E} \) fields given in part (a). Assume that the fields exist in free space.

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Assume you have said to a group of your peers that amylase is capable of starch hydrolysis to maltose. If you had not done control tube 1A, what objection to your statement could be raised? What if you had not done tube 2A? 10. In the exercise concerning trypsin function, why was an enzyme assay such as Benedict's or Lugol's iodine (IKI), which test fo the presence of a reaction product, not necessary? Why was tube 1T necessary? Why was tube 2T necessary? Trypsin is a protease similar to pepsin, the protein-digesting enzyme in the stomach. Would trypsin work well in stomach? Why or why not?

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Why must we say \"ceteris paribus\" when stating the law of demand? constant. We cannot truly analyze the relationship between any two variables without first determining whether we will allow other variables to fluctuate or hold them We cannot truly analyze the relationship between any two variables without holding all other variables constant. The use of ceteris paribus is a tradition within the field of economics. We cannot truly analyze the relationship between any two variables without letting all other potential variables fluctuate.

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Write the polar equation $r = -10 \sec \theta$ in rectangular form.

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10. Consider a one period model of an economy with a representative consumer and representative leisure, and a is a positive parameter. The firm's production function is Y = z K2 N2, where Y is output, K is capital, z is total factor productivity, and N is labor. The household time constraint is h = N + l. For simplicity, assume there is no government in this economy. a) What is the equation of the consumer's budget constraint? b) Use the Lagrange method to solve for optimal C, l, and Ns. c) How does N change when w increases? Does the substitution effect dominate or does the income effect dominate? (p What is the equation for the firm's profit function? e) Solve the firm's maximization problem to get Nd. f) How does N" change when (i) w increases? (ii) Z increases? (iii) K increases? g) Solve for the equilibrium wage, w. h) How does the equilibrium wage change when z increases? Draw the graph of the labor market and show the effect of an increase in z. i) How does the equilibrium wage change when a increases? Draw the graph of the labor market and show the effect of an increase in a.

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Chapter 3, Problem 3/066 GO Tutorial The center of gravity of the 52.0-lb door is in the center of the panel. If the weight of the door is supported entirely by the lower hinge A, calculate the magnitude of the total force supported by the hinge at B. 3" 14" 69" 52.0 lb 55" Answer: B = Ib The number of significant digits is set to 3; the tolerance is +/-1 in the 3rd significant digit Click if you would like to Show Work for this question: Open Show Work

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