Use the following notations: r = radius of a circle, v = linear velocity, ? = angular velocity. Find the missing quantity. Round to the nearest tenth if necessary.v = 11 cm/sec, r = 1.3 cm, ? = ?
A. 12.3 rad/sec
B. 9.7 rad/sec
C. 14.3 rad/sec
D. 8.5 rad/sec
Answer: D
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If Z = ûXC + XL, find Z when Xc = 30 ê and XL = 40 ê.
ÚÄÄÄÄÄÄÄÄ ³ 2 2 a. 8.4 ê b. 120 ê c. 70 ê d. 50 ê e. 100 ê
Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.12y2 + 54y - 30
A. 6(2y - 1)(y + 5) B. (12y - 6)(y + 5) C. prime D. 6(2y + 1)(y - 5)
Solve the problem.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. Find the equation of the least-squares regression line that models the data. Entering GPA Current GPA 3.5 3.6 3.8 3.7 3.6 3.9 3.6 3.6 3.5 3.9 3.9 3.8 4.0 3.7 3.9 3.9 3.5 3.8 3.7 4.0
A. y ? 3.67 + 0.0313x B. y ? 2.51 + 0.329x C. y ? 4.91 + 0.0212x D. y ? 5.81 + 0.497x
In the figure, a || b and transversal t. If 
and 
, find x.
What will be an ideal response?