Find z1z2. Express the answer in standard form.z1 = 3(cos 45° + i sin 45°)z2 = 2(cos 90° + i sin 90°)
A. 3
- 12i
B. 2
- i
C. -6
- 6i
D. -3
+ 3i
Answer: D
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Using determinants, solve the following for x, y, and z:
x + 2y + z = 3 2x + y + 4z = 10 3x + 4y - z = 7 a. 58 18 7 x = ÄÄ y = ÄÄ z = ÄÄ 16 16 16 b. 58 12 14 x = ÄÄ y = - ÄÄ z = ÄÄ 16 16 16 c. 29 11 14 x = ÄÄ y = - ÄÄ z = ÄÄ 16 16 16 d. 58 20 20 x = ÄÄ y = - ÄÄ z = ÄÄ 16 16 16 e. 29 18 14 x = ÄÄ y = ÄÄ z = ÄÄ 16 16 16
Solve the problem.Marianne is planning a shopping trip to buy birthday gifts for her son. She estimates that the total price of the items she plans to purchase will be between $350 and $400 inclusive. If sales are taxed at a rate of 8.375% in her area, what is the range of the amount of sales tax she should expect to pay on her purchases? If Marianne's budget for the shopping trip is $425, will she necessarily be able to buy all the gifts that she has planned?
A. $29.31 ? x ? $33.50, where x represents the amount of sales tax; Yes. B. $29.31 < x < $33.50, where x represents the amount of sales tax; Yes. C. $29.31 ? x ? $33.50, where x represents the amount of sales tax; No. D. $29.31 < x < $33.50, where x represents the amount of sales tax; No.
Use mathematical induction to prove that the statement is true for every positive integer n.1 ? 4 + 2 ? 4 + 3 ? 4 + . . . + 4n = 
What will be an ideal response?
Determine what fraction of the circumference of the unit circle the value represents.7?
A. 4
B. 
C. 3
D. 