Expand, where i2 = -1.(1 + 7i)3
A. -322 - 146i
B. 364 + 148i
C. -146 - 322i
D. 148 + 364i
Answer: C
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Solve using a system of three linear equations.A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A tree takes 17 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 13 hours to paint, and 7 hours to fire. If the workshop has 115 hours for prep time, 66 hours for painting, and 89 hours for firing, How many of each can be made?
A. 5 wreaths, 3 trees, 6 sleighs B. 7 wreaths, 6 trees, 4 sleighs C. 6 wreaths, 5 trees, 3 sleighs D. 3 wreaths, 6 trees, 5 sleighs
Simplify the expression. If any variables exist, assume that they are positive.-15 + 17
A. 2
B. 33
C. -3
D. -32
Write the symbolic statement that follows from the given statement.To qualify for a loan, the applicant must have a gross income of at least $35,000 if single or combined income of $50,000 if married. Let
?
q: You qualify for a loan.
m: You are married.
i: You have an income of at least $35,000.
b: Your spouse has an income of at least $35,000.
?
?
What will be an ideal response?
Solve the problem.Ron takes two hr more time than Paul to mow the lawn. Working together they can mow the lawn in . How long does it take each of them working alone?
A. Paul: 10 hr; Ron: 12 hr B. Paul: 8.3 hr; Ron: 10.3 hr C. Paul: 9.1 hr; Ron: 11.1 hr D. Paul: 8 hr; Ron: 10 hr