Which of the following trigonometric equations is false for x?
a) sin x = 2 /√5
b) cos x = -0.1439
c) cos² x + sin² x = 1
d) sec x = √3 / 4
e) tan x = -100

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Define multiplicative inverse. give an example of a number and its multiplicative inverse.