Find the prime factorization of the number.48

A. 2 ? 2 ? 2 ? 2 ? 3
B. 2 ? 2 ? 2 ? 2
C. 2 ? 2 ? 2 ? 2 ? 2 ? 3
D. 2 ? 2 ? 2 ? 2 ? 5


Answer: A

Mathematics

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Write the conjugate  of the complex number z. Then find z.z = 1 - 9i

A.  = 1 + 9i, z = 82
B.  = 1 + 9i, z = -80
C.  = 1 + 9i, z = 1 - 81i
D.  = 1 + 9i, z = 1 - 81i2

Mathematics

Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.log4 4-2

A. -8 B. 4 C. -2 D. 1

Mathematics

Solve the problem.You drive 93 miles along a scenic highway and then take a 25-mile bike ride. Your driving rate is 3 times your cycling rate. Suppose you have no more than a total of 5 hours for driving and cycling. Let x represent your cycling rate in miles per hour. Use a rational inequality to determine the possible values of x.

A. x ? 11.2 mph B. x ? 20.3 mph C. x ? 11.2 mph D. x ? 69.2 mph

Mathematics

Write the number in scientific notation.0.00000013907

A. 1.3907 × 106 B. 1.3907 × 10-7 C. 1.3907 × 10-6 D. 1.3907 × 107

Mathematics