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Question: problem 5116 suppose that the cost of paving a parking...

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Problem (5.1.16) Suppose that the cost of paving a parking lot is related to the area paved by a linear equation. If the cost of paving 1000 square feet is $1200 and the cost of paving 1500 square feet is $1600, find the cost of paving 1800 square feet.
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乂ニ乙 blem (5.2.24) a? For what numbers a and b is this system of equations satisfied for a- b and y- x-3y = a 2x + 7y 5
Problem (5.3.4) Raskins and Bobbins Ice Cream Shop makes three kinds of ice cream using skim milk, cream, vanilla, and cacao. Each gallon of Deluxe Vanilla uses 3 quarts of milk, 1 quart of cream, and 2 ounces of vanilla. Each gallon of Regular Vanilla uses 3.5 quarts of milk, 0.5 quart of cream, and 1 ounce of vanilla. Each gallon of Deluxe Chocolate uses 3.25 quarts of milk, 0.75 quarts of cream, and 2 ounces of cacao. How many gallons of each type of ice cream should be made in order to use up 100 gallons of milk, 25 gallons of cream, 5 pounds of vanilla, and 10 pounds of cacao?
Find all solutions (if any) of the given system of equations. 2x + y+ z 4 4-y2z4
(a) Find all solutions of h tem 2x + y-z=6 - 3y +w 2 (b) Find all solutions with w0. (c) Find all solutions with y 0.
Robin makes bows and arrows using wood, string, and leathets Each bow uses 5 feet of wood and 4 feet of string, while each arrow uses 3 feet of wood and 4 feathers. If Robin has 100 Teet of wood and 32 feet of string, how many feathers does he need so that he can use up all the wood, string, and feathers making bows and arrows?
blem (6.1.16) Let matrices A, B, and C be [2 0 -3 B 1 4 3 C-13 1 A=1146 Also let Y= Now decide which of the following are defined, and evaluate those which are. (a) 2X - Y (b) AX (c) AX +CY (d) CAX
Problem (6.1.24) 5 0 Using the definition A AA A, find 2, Pi, and Ps n factors
blem (6.2.10) Let A= 12 3 8 Find the inverse of A and use it to solve the systems of equations 2 AX = and AX =
Problem (6.2.36) Examine the following matrices. 1 A=[1 0 1] 2 C=[x 1 Is there any value of z such that (ABC)-1 exists?
oblem (8.1.22) A not-so-enthusiastic student often misses class on Friday afternoon. If he attends class on a certain Friday, then the next Friday he is twice as likely to be absent as to attend. On the other hand, if he misses on a certain Friday, then the next week he is 3 times as likely to attend as to miss class again. Formulate this situation as a Markov chain, find the transition matrix, and draw the transition diagram
Problem (8.1.26) As the semester progresses, the not-so-ent husiastic student acquires another habit: at- tending class and reading a newspaper. Suppose that he attends class and pays at- tention, attends class and reads a newspaper, or misses class. If he attends and pays attention one Friday, then the next Friday he is equally likely to attend and pay at- tention, to attend and read a newspaper, and to miss class. If he attends and reads a newspaper one Friday, then the next Friday he is twice as likely to attend and pay at- tention as to miss, and he never attends and reads a newspaper two consecutive weeks If he misses one week, then he attends the next week and he is 3 times as likely to pay attention as to read a newspaper. Formulate this situation as a Markov chain, find the transition matrix, and draw the transition diagram.
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