Rationalize the denominator.

A. 7 - 2
B. -7 - 2
C. 2 - 7
D. 7 + 2


Answer: C

Mathematics

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Compute the absolute value.|-10.8|

A. 21.6 B. -10.8 C. 0 D. 10.8

Mathematics

Evaluate the integral using the given substitution. dy , u = y6 + 3y3 + 2

A. (y6 + 3y3 + 2)4 + C
B. (y6 + 3y3 + 2)4(10y4 + 6y) + C
C. (y6 + 3y3 + 2)4 + C
D. 21(y6 + 3y3 + 2)2 + C

Mathematics

Find an equation for the line that passes through the given point and satisfies the given conditions.P = (-6, -7); parallel to v = -3i + 6j

A. -3x + 6y = -24
B. -3x + 6y = 45
C. y + 7 = (x + 3)
D. 6x + 3y = -57

Mathematics

Solve the problem. The enrollment at a certain college for women and men, W(t) and M(t), respectively, can be modeled by the system:W(t) = 92.6t + 3167M(t) = 62.3t + 4092where t is the number of years since 1992. Let P(t) be the percentage of students that are women at t years since 1992. By finding an equation of P, determine the year when 50.4% of students at the college will be women.

A. 2022 B. 2028 C. 2026 D. 2024

Mathematics