A state Motor Vehicle Department requires learners to pass a written test on the motor vehicle laws of the state. The exam consists of fourteen true-or-false questions, of which twelve must be answered correctly to qualify for a permit. In how many different ways can a learner who answers all the questions on the exam qualify for a permit?
a. 106
b. 113
c. 104
d. 112
e. 105
a. 106
Mathematics
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Determine whether the given function satisfies a Laplace equation.f(x, y) = cos(x) sin(-y)
A. Yes B. No
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Translate the word phrase into an algebraic expression.His salary x increased by $250
A. x - 250 B. 250 C. x + 250 D. 250x
Mathematics
Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree: 3; zeros: -2 and 3 + i.
A. f(x) = x3 - 6x2 - 10x + 20 B. f(x) = x3 - 8x2 + 2x + 20 C. f(x) = x3 - 4x2 - 10x + 20 D. f(x) = x3 - 4x2 - 2x + 20
Mathematics
Use interval notation to describe the set of numbers.Salary raises at Clemson University will average between 3.5% and 5.5%.
A. [5.5, 3.5] B. [3.5, 5.5] C. (3.5, 5.5) D. [3.5, 5.5)
Mathematics