The fire department wants to send booklets on fire hazards to all teachers and homeowners in town. How many booklets does it need, using these statistics?
?
53,000 homeowners
5,000 teachers
3,000 teachers who own their own homes
?
__________ booklets
Fill in the blank(s) with the appropriate word(s).
55,000
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Solve the problem.A diving pool that is 6 m deep and full of water has a viewing window on one of its vertical walls. Find the force on a circular window, with a radius of 0.5 m, tangent to the bottom of the pool. Round to three decimal places when appropriate.
A. 48,866.294 N B. 42,332.961 N C. 6533.333 N D. 60,812.018 N
We have encoded a message by assigning the numbers 1 - 26 to the letters a - z of the alphabet, respectively, and assigning 27 to a blank space. We have further encoded it by using an encoding matrix. Decode this message by finding the inverse of the encoding matrix and multiplying it times the coded message.The encoding matrix is A = 
and the encoded message is 88, 103, 115, 84, 99, 104, 41, 43, 46, 40, 49, 45, 86, 91, 113, 52, 61, 65.
Fill in the blank(s) with the appropriate word(s).
A cargo container (in the shape of a rectangular solid) must have a volume of 420 cubic feet. The bottom will cost $8 per square foot to construct and the sides and the top will cost $2 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost. ?
A. 
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B. 
?
C. 
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D. 
?
E. 
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Multiply or divide as indicated. Write the answer in lowest terms.15 ÷ 
A. 
B. 4
C. 5
D. 3