A computer password is made up of five characters. Each character can be a capital letter (A through Z) or a digit (0 through 9).How many passwords consist entirely of letters?
A. 26 × 25 × 24 × 23 × 22
B. 526
C. 265
D. 26 × 5
E. none of these
Answer: C
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Solve the problem.A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 6 soft drinks for $31.36. The second group bought 6 slices of pizza and 7 soft drinks for $26.72. How much does one slice of pizza cost?
A. $2.46 per slice of pizza B. $1.78 per slice of pizza C. $2.96 per slice of pizza D. $1.28 per slice of pizza
Solve the problem.Find the centroid of the region enclosed between the cone with equation and the plane with equation
A. (,
,
) =
B. (,
,
) =
C. (,
,
) =
D. (,
,
) =
Solve the problem.Using the numerals 0 through 9, how many 5-digit serial numbers can be made if the first digit must be 0 or 1 and numerals may be repeated?
A. 20,000 B. 100,000 C. 80 D. 13,122
Determine the vertex, focus, and directrix of the parabola and sketch its graph.y2 = 12x
A. vertex: (0, 0)
focus: (3, 0)
directrix: x = -3
B. vertex: (0, 0)
focus: (-3, 0)
directrix: x = 3
C. vertex: (0, 0)
focus: (0, 3)
directrix: y = -3
D. vertex: (0, 0)
focus: (0, 3)
directrix: y = -3