Numerade

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Older people find which of the following memory tasks to be virtually impossible? memorizing something while simultaneously monitoring something else recognizing faces memorizing names following directions

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Convert the angle 60° to radians. Give the exact value and use pi for $\pi$.

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Let $A = \begin{bmatrix} 7 & 8 & 1 \ 4 & 8 & -6 \ 8 & 1 & -5 \end{bmatrix}$ Define the linear transformation $T: \mathbb{R}^3 \to \mathbb{R}^3$ by $T(\vec{x}) = A\vec{x}$. Find the images of $\vec{u} = \begin{bmatrix} 1 \ 1 \ -4 \end{bmatrix}$ and $\vec{v} = \begin{bmatrix} a \ b \ c \end{bmatrix}$ under $T$. $T(\vec{u}) = \begin{bmatrix} \\ \\ \end{bmatrix}$ $T(\vec{v}) = \begin{bmatrix} \\ \\ \end{bmatrix}$

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Quis 05 1. Let's use some modern techniques to explore the circumscription of a hexagon about a circle. The goal is to find the length of one side of the hexagon. We'll assume the equation of the circle is $x^2 + y^2 = 1$, a circle of radius 1 centered at the origin. For each part, you must use a skill from the class listed in parentheses even though there are perhaps alternative methods. (a) What is $\theta$? State your answer in radians.(Geometry) (b) Point D is on the circle. And the measure of $\angle ABD$ is half the measure of $\angle ABC$. What are the (Cartesian) coordinates of D? (Trigonometry) (c) What is the slope of the line tangent to the circle which passes through point D? (Calculus 1) (d) What is the equation of that line? (Algebra I) (e) What are the coordinates of point F? (Algebra I) (f) What is the distance between D and F? (Geometry) (g) What is the length of EF? (h) What is the perimeter of the hexagon and how does it compare to the circumference of the circle? (i) What could you do to get a more accurate estimate for the circum- ference of the circle? One short sentence is fine.

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Lee, Inc. acquired 30% of Polk Corp's voting stock on January 1, year 1, for $100,000. During year 1, Polk earned $40,000 and paid dividends of $25,000. Lee's 30% interest in Polk gives Lee the ability to exercise significant influence over Polk's operating and financial policies. During year 2, Polk earned $50,000 and paid dividends of $15,000 on April 1 and $15,000 on October 1. On July 1, year 2, Lee sold half of its stock in Polk for $66,000 cash. The carrying amount of this investment in Lee's December 31, year 1 Balance Sheet should be $112,000. $115,000. $104,500. $100,000.

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What is the initial cost of a machine with a life of 7 years that has a salvage value of $105,000 and a capital recovery cost of $70,000 per year? The firm uses a rate of 6% per year compounded monthly. A. -$442,465 B. -$457,509 C. -$719,566 D. -$355,826

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Problem (12): For the Unsymmetric bending of a rectangular cross section. The couple M = 330 N-m is applied to a beam of the cross section shown in a plane forming an angle $\beta$ with the vertical. Determine the stress at points A, B, and D. (Round the final answer to two decimal places.)

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What will be the output for the following Java program segment? (2 marks) int a = 8; int b = 2; int c= 5; int d = --a; a = (c -- a) % (b * a); System.out.println("a" + a); System.out.println("d" + (d + a)); Explain why local variables in a method cannot be used in other methods. (2 marks)

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2. The chilled-water piping for a 40-ton air-conditioning system consists of 120 ft of straight pipe, two gate valves, twelve 90-deg elbows, and one check valve. Use a 6-ft loss of head per 100 ft and determine the size of pipe to be used and the line loss.

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2. (a) What is the total number of branches in the circuit? (b) What is the total number of branches with unknown currents (?)? (c) What is the total number of nodes in the circuit? (d) What is the minimal number of equations to solve with the Node Voltage Method? Be sure to take into account supernodes. (e) What is the minimal number of equations to solve with the Mesh Current Method? Be sure to take into account supermeshes. (f) Write all required Node Voltage equations, including constraint equations. (g) Write all required Mesh Current equations, including constraint equations. (h) Numberically solve using the method requiring the least number of equations. $i_x$ 2.5 ? $i_x$ 1? 7.5 ? 10 ? 2.5 ? + V 12 V 4.8 A ?

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jerry a.