Numerade

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Show that squares are the only rectangles with perpendicular diagonals. D C Place a rectangle with sides AB, BC, DC, and AD so that A is located at the origin with vector AB lying on the x-axis. Let AD = BC and AB = DC. Notice that AC and DB are the two vectors representing the diagonals of the rectangle. What must be true if the diagonals are perpendicular?

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When curved arrows form a sigma bond and points to a distant atom, the sigma bond breaks and a new sigma bond is formed.

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The following items appeared on the financial statements of Washington Company. Accounts receivable, January 1 $14,233 Accounts receivable, December 31 8,889 Accounts payable, January 1 5,495 Accounts payable, December 31 8,792 Inventory, January 1 9,089 Inventory, December 31 14,910 Sales 73,939 Cost of goods sold 30,287 Washington Company uses the direct method to report cash flows from (used for) operating activities. Assume that all accounts payable are owed to merchandise suppliers. Cash payments for merchandise were a. $29,810 b. $32,811 c. $30,287 d. $32,334

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Health insurers will cover setting and splinting a child’s broken arm. Which concept from the chapter does this kind of treatment best represent? cure, prevention, care, or rehabilitation

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The position of the mass that oscillating on the spring is given by X equals 17.4 cm cosine 5.46 seconds in -1 power T. What is the angular frequency for this motion

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To say that the central bank of a country or region is "independent" means that: the central bank generates its own profits and is not dependent on government subsidies the governors of the central bank are not elected by the general population the governors of the central bank are not allowed to be a member of a political party the governors of the central bank are free from political influence

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Mohamad's approach is called a multiple study design.

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A) Consider the vector field $F(x, y, z) = (5yz, xz, -4xy)$. Find the divergence and curl of $F$. div$(F) = \nabla \cdot F = $ curl(F) = \nabla \times F = ( B) Consider the vector field $F(x, y, z) = (7x^2, (x + y)^2, -6(x + y + z)^2)$. Find the divergence and curl of $F$. div$(F) = \nabla \cdot F = $ curl$(F) = \nabla \times F = ($

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A firm is considering replacing the existing industrial air conditioning unit. They will pick one of two units. The first, the AC360, costs $26,475.00 to install, $5,140.00 to operate per year for 7 years at which time it will be sold for $6,878.00 The second, RayCool 8, costs $41,968.00 to install, $2,192.00 to operate per year for 5 years at which time it will be sold for $8,933.00. The firm's cost of capital is 6.63%. What is the equivalent annual cost of the RayCool8? Assume that there are no taxes

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Please confim that your test consists of 7 pages. There are 4 problems (partial/full credit). Questions 5-13 are multiple choice (no partial credit). Some constants, equations, and a periodic table are given on page 7. 2. (A) (6 pts) The electrical resistivity of copper (Cu) at room temperature is $17.2 \times 10^{-9}$ ?-m. Suppose a copper cable 1 m long consists of three strands of wire each 250 µm in diameter. What is the room-temperature resistance of the cable? (B) (3 pts) In use, the temperature of the wire increases to 50 °C. Would you expect that the resistance of the cable will increase, decrease, or stay the same as at room temperature? Briefly justify your answer. (C) (3 pts) To slightly increase the yield strength, suppose the copper cable is alloyed with 5 at% Ag. The electrical resistivity of silver (Ag) at room temperature is $15.9 \times 10^{-9}$ ?-m. Would you expect that the resistance of the cable will increase, decrease, or stay the same relative to the pure copper cable? Briefly justify your answer.

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kelly b.