Solve the problem.Let R ={(x, y): 1 ? x < 4, 0 ? y < 6}. Evaluate dA, where f is the function 

A. 192
B. 18
C. 87
D. 123


Answer: D

Mathematics

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Malia buys a chocolate-strawberry-vanilla cake in Figure(i) for $14.00 . She cuts the cake into six 60° wedges as shown in Figure (ii). Malia likes chocolate twice as much as vanilla and likes vanilla twice as much as strawberry. What is the value of piece 2 to Malia?

A. $1.00 B. $2.00 C. $1.50 D. $2.50 E. none of these

Mathematics

Solve the problem.There are 3 balls in a hat; one with the number 1 on it, one with the number 2 on it, and one with the number 5 on it. You pick a ball from the hat at random and then you roll a die. Using a tree diagram , obtain the sample space for the experiment. List the elements that make up the sample space.

A. 1 2 5 1, 1 2 5 2, 1 2 5 3, 1 2 5 4, 1 2 5 5, 1 2 5 6 B. 1 1, 1 2, 1 3, 1 4, 1 5, 1 6, 2 1, 2 2, 2 3, 2 4, 2 5, 2 6, 5 1, 5 2, 5 3, 5 4, 5 5, 5 6 C. 1 1, 1 2, 1 3, 1 4, 1 5, 1 6, 2 1, 2 2, 2 3, 2 4, 2 5, 2 6 , 5 1, 5 2, 5 3, 5 4, 5 5, 5 6, 3 1, 4 1, 6 1, 3 2, 4 2, 6 2, 3 5, 4 5, 6 5 D. 1 1, 1 2, 1 5, 2 1, 2 2, 2 5, 5 1, 5 2, 5 5

Mathematics

Factor completely.x3 - x2 - 56x

A. (x2 + 1)(x - 56) B. x(x + 7)(x - 8) C. Prime D. x(x + 8)(x - 7)

Mathematics

Set up the initial simplex tableau for the given linear programming problem.Minimize8x1?+ 4x2 subject to2x1?- x2? 126x1?+ 3x2? 14and x1 ? 0, x2 ? 0

A. x1  x2  x3  x4  M
 
B. x1  x2  x3  x4  M
 
C. x1  x2  x3  x4  M
 
D. x1  x2  x3  x4  M
 

Mathematics