Write the complex number in the form a + bi.8(cos 30° + i sin 30°)
A. 4
+ 4i
B. 4 + 4
i
C. 
+ 
i
D. 
+ 
i
Answer: A
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Solve the problem.If a satellite reaches a speed of 7.91 kilometers per second, it will attain a circular orbit. If a satellite is placed in an orbit of 370 kilometers above the Earth, what is the equation of the path of the satellite if the origin is placed at the center of the Earth (the diameter of the Earth is approximately 12,740 kilometers)?
A. x2 + y2 = 136,900 B. x2 + y2 = 45,427,600 C. x2 + y2 = 171,872,100 D. x2 + y2 = 40,576,900
Describe the indicated set in words and find the set.(P ? L) - S' , given the following information:The table gives the approximate nutritional value per serving of foods at a certain restaurant.
Let:C = {m : m provides 251 or more calories}P = {m : m provides 20 or more grams of protein}F = {m : m provides 10 or more grams of fat}L = {m : m provides 150 or more mg of calcium} S = {m : m provides 1000 or more mg of sodium}A = {m : m provides 1000 or more A.U. of vitamin A}
A. Foods that provide both 20 or more grams of protein and 150 or more mg of calcium, but have less than 1000 mg of sodium; ? B. Foods that provide either 20 or more grams of protein or 150 or more mg of calcium, but have less than 1000 mg of sodium; {Pizza, Pea Soup, Chicken Salad} C. Foods that provide either 20 or more grams of protein or 150 or more mg of calcium, and have 1000 or more mg of sodium; {Chop Suey, Bean Burrito} D. Foods that provide both 20 or more grams of protein and 150 or more mg of calcium, and have 1000 or more mg of sodium; {Chop Suey, Bean Burrito}
Solve the problem.A carpet company charges $4.00 per square yard of carpet, plus $50 for labor. Let L and W denote the length and width of the carpet, given in feet. Give an expression for the cost, in dollars, to purchase and install carpet.
A. Total cost = $0.48(LW) + $50 B. Total cost = $0.40(LW) + $40 C. Total cost = $0.44(LW) + $50 D. Total cost = $0.54(LW) + $50
Find the intercepts of the circle. Round to the nearest hundredth, when necessary.(x + 3)2 + (y - 1)2 = 28
A. The two x-intercepts are x ? 2.39 and x ? -8.39, and the two y-intercepts are y ? 7.08 and y ? -5.08. B. The two x-intercepts are x ? 8.2 and x ? -2.2, and the two y-intercepts are y ? 3.36 and y ? -5.36. C. There are no intercepts. D. The two x-intercepts are x ? 2.2 and x ? -8.2, and the two y-intercepts are y ? 5.36 and y ? -3.36.