Express the value of the inverse hyperbolic function in terms of natural logarithms.sech-1 
A. Undefined
B. ln 
C. ln 
D. ln 
Answer: C
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Use limits to find the derivative function f' for the given function f. Then evaluate f'(a) for the given values of a.f(x) = 2x3 - 4x; a = -2, 3
A. f'(x) = 6x2-4; f'(-2) = 20, f'(3) = 50 B. f'(x) = 3x2-4x; f'(-2) = 4, f'(3) = 15 C. f'(x) = 3x2-4x; f'(-2) = 20, f'(3) = 15 D. f'(x) = 6x2-4; f'(-2) = -28, f'(3) = 50
A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.The governor of a state claims that since his tax cuts have taken effect, the unemployment rate has dropped. The unemployment rate in the state had been 6.3% prior to the tax cuts.The hypotheses are as follows:Null hypothesis: unemployment rate = 6.3% Alternative hypothesis: unemployment rate < 6.3%
A. Rejecting the null hypothesis means there is insufficient evidence that the unemployment rate is equal to 6.3%. Failing to reject the null hypothesis means there is insufficient evidence to conclude that the unemployment rate is equal to 6.3%. B. Rejecting the null hypothesis means there is evidence that the unemployment rate is less than 6.3%. Failing to reject the null hypothesis means there is insufficient evidence to conclude that the unemployment rate is less than 6.3%. C. Rejecting the null hypothesis means there is evidence that the unemployment rate is not equal to 6.3%. Accepting the null hypothesis means there is evidence to conclude that the unemployment rate is equal to 6.3%. D. Rejecting the null hypothesis means there is evidence that the unemployment rate is less than 6.3%. Accepting the null hypothesis means there is evidence to conclude that the unemployment rate is equal to 6.3%.
Find the mode of the list of data.144 cm, 150 cm, 156 cm, 144 cm, 188 cm, 199 cm, 162 cm
A. 144 cm B. 156 cm C. 150 cm D. 96 cm
Factor the polynomial by removing any common monomial factor.3x2 + 15x
A. 3(x2 + 5x) B. 3x(x + 5) C. x(3x + 15) D. 3x(x + 5x)