Concept explainers
Decoding a Message Use a software or a graphing utility to decode the cryptogram.
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Elementary Linear Algebra (MindTap Course List)
- Application Pile of logs Several logs are stored in pile with 20 logs on the bottom layer, 19 on the second layer, 18 on the third layer, and so on. If the top layer has one log, how many logs are in the pile?arrow_forwardDecoding a Message: Use the inverse of A to decode the cryptogram. A=122113114 231334313463251761241437411782029403856116131112236415385283216arrow_forwardProof Prove the property. |1+a1111+b1111+c|=abc(1+1a+1b+1c)a0,b0,c0arrow_forward
- APPLICATIONS Manufacturing FurnitureA furniture factory makes wooden tables, chairs, and armoires. Each piece of furniture requires three operation: cutting the wood, assembling, and finishing. Each operation requires the number of hours given in the table. The workers in the factory can provide 300 h of cutting. 400 h or assembling, and 590 h of finishing each work week. How many tables, chairs, and armoires should he produced so that all available labor-hours are used? Or is this impossible? Table Chair Armoire Cutting h 12 1 1 Assembling h 12 112 1 Finishing h 1 112 2arrow_forwardPoles in a Pile Telephone poles are being stored in a pile with 25 poles in the first layer, 24 in the second, and so on. If there are 12 layers, how may telephone poles does the pile contain?arrow_forwardCutting up a Wire A piece of wire is bent as shown in the figure. You can see that one cut through the wire produces four pieces and two parallel cuts produce seven pieces. How many pieces will be produced by 142 parallel cuts? Write a formula for the number of pieces produced by n parallel cuts.arrow_forward
- Cube A 333 cube is made up of 27 unit cubes (a unit cube has a length, width, and height of 1 unit), and only the faces of each cube that are visible are painted blue, as shown in the figure. (a) Determine how many unit cubes of the 333 cube have 0 blue faces, 1 blue face, 2 blue faces, and 3 blue faces. (b) Repeat part (a) for a 444 cube, a 555 cube, and a 666 cube. (c) Write formulas you could use to repeat part (a) for an nnn cube.arrow_forwardCoffee and Cream A spoonful of cream is taken from a pitcher of cream and put into a cup of coffee. The coffee is stirred. Then a spoonful of this mixture is put into the pitcher of cream. Is there now more cream in the coffee cup or more coffee in the pitcher of cream?arrow_forward
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