Numerade

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Suppose you own an ice cream shop named Ave and Dandy, an ice cream shop which offers 5 ice cream flavors. To ensure your customer can enjoy diversity of flavor, you enforce the rule that every ice cream bowl must consist of at least two ice cream flavors. A customer wants to order a bowl of ice cream consisting of 4 scoops. How many different bowls of ice cream can they order?

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25. In passionflower plants, In passionflower plants, long petals (P) are dominant over short petals (p) and green sepals (G) are dominant to white sepals (g). A plant with the genotype PpGg is crossed with a plant with the genotype ppgg. The offspring are described in the table on the right. Which genetic arrangement accounts for these observations? Phenotype Number of offspring Long petals and green sepals 40 Long petals and white sepals 10 Short petals and green sepals 5 Short petals and white sepals 45 A. Petal length and sepal color genes are located on separate chromosomes. B. Petal length and sepal color genes are located close together on the same chromosome. C. Petal length and sepal color genes are located far apart from each other on the same chromosome. D. Petal length and sepal color genes are located on sister chromatids. Commented [25]: Answer: B Explanation: The traits show a violation of the law of independent assortment, since the alleles of two different genes are linked together. Linkage occurs when genes are locate close together on the same chromosome.

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Trigonal bipyramid

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200 California drivers were randomly sampled and it was discovered that 25 of these drivers were illegally talking on their cell phones without the use of a hands-free device. Find the point estimator for the proportion of drivers who are using their cell phones illegally and construct a 99% confidence interval.

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Consider a crossbow that fires a bolt straight upward from the ground with an initial velocity of 51 m/s. Because of linear air resistance with a drag coefficient p = 0.05, its velocity function v = dy/dt satisfies the following initial value problem.\\ $\frac{dv}{dt} = f(t,v) = -0.05v - 9.8, v(0) = 51$\ This problem has an exact solution $v(t) = 247e^{-\frac{t}{20}} - 196$. Answer parts (a) through (c) below.\ (a) Use a calculator or computer implementation of the Runge-Kutta method to approximate v(t) for 0 ? t ? 10 using both n = 100 and n = 200 subintervals.\ (Round to four decimal places as needed.)\ $\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \hline t_n & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline v_n, n = 100 & & & & & & & & & & \\ \hline \end{array}$

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12. Two particles of mass m? and m? respectively are located at positions labeled by cylindrical coordinates (r?, ??, z?) and (r?, ??, z?). (These subscripts are particle labels, not tensor indices). For notational convenience, define: ? = m?/(m? + m?), \bar{z} = (z? + z?)/2 (the unweighted arithmetic mean); ?z = z? - z?; \bar{r} = \sqrt{r?r?} (the geometric mean); ?r = r?/r? (radial ratio); \bar{?} = (?? + ??)/2 (unweighted arithmetic mean); and ?? = ?? - ??. In cylindrical coordinates, find in simplest terms: (a) the vertical (z) coordinate of the center of mass, as a function of ?, \bar{z}, and ?z. (b) the radial coordinate of the center of mass, as a function of ?, ?r, \bar{r}, and ??. (c) the azimuthal angular coordinate of the center of mass, as a function of ?, ?r, ??, and \bar{?}. Now you can appreciate why we usually use Cartesian coordinates to calculate the center of mass....

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The main disadvantage of organizing an entity as a corporation is: there are no disadvantages of organizing a corporation unlimited liability of the owners it is easy to start up (form) the inability to raise large sums of capital the double taxation of dividends

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Falcon Clothing Inc. is considering a project that has the following cash flow and WACC data. What is the project's discounted payback period (in years with two decimals) WACC: 10.00% Year 0 1 2 3 Cash flows -$900 $500 $500 $500

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A 480V, 200kVA, 50Hz, 2 pole, Y-connected SG was tested to get $V_{Toc}$=500V and $I_{sc}$=240A at rated field current and $I_{dc}$=30A at $V_{dc}$=50V. If the machine is operating at rated conditions and PF=0.8 lagging. 1. Find Armature Resistance ($R_A$) and Synchronous Reactance ($X_s$) 2. Calculate the armature current, and the internal induced voltage $E_A$ 3. Find the full load Voltage Regulation.

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Question 2 [Total marks 6] A disk flywheel J of mass 16.2 Kg and radius 0.5 m is driven by a programmed torque source that produces a torque profile as shown in Fig.Q2. The shaft bearings may be modeled as viscous rotary dampers with a damping coefficient of BR = 0.92 N-m-s/rad. It is required to: a) Describe the applied torque profile in time domain. [1 mark] b) Compute and plot the variation in speed of the flywheel. [3 marks] c) Find the maximum angular velocity. [2 marks]

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russell r.