Simplify.
A. 64k5
B. -4k5
C. 4k5
D. 4k18
Answer: C
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Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 1Density: ? = 
A. Iz = 
?
B. Iz = 
?
C. Iz = 16?
D. Iz = 2?
Solve the problem.To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $1 for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. What is the probability that a person with one combination of five numbers will win? What is the probability of winning if 100 different lottery tickets are purchased?
A. 
; 
B. 
; 
C. 
; 
D. 
; 
Multiply the complex numbers and simplify powers of i.(9 - 3i)(2 + 4i)
A. 30 - 30i B. -12i2 + 30i + 18 C. 6 - 42i D. 30 + 30i
Determine whether the ordered pairs given are solutions of the linear inequality in two variables.2x + 3y ? 6:(6, 3)
A. Yes B. No