The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in seconds, is $I(t)=220 \sin \left(60 \pi t-\frac{\pi}{6}\right) \quad t \geq 0.$ What is the period? What is the amplitude? What is the phase shift? Graph this function over two periods.

The function f is one-to-one. Find the inverse of each function and check your answer. $f(x)=\frac{2-x}{3+x}$

A company was contemplating the installation of a flextime schedule in which a worker schedules his or her work hours or compresses work weeks. The company estimates that it needs a minimum mean of 7 hours per day per assembly worker in order to operate effectively. Each of a random sample of 80 of the company's assemblers was asked to submit a tentative flextime schedule. If the mean number of hours per day for Monday was 6.7 hours and the standard deviation was 2.7 hours, do the data provide sufficient evidence to indicate the mean number of hours worked per day on Mondays, for all of the company's assemblers, will be less than 7 hours? Test using $\alpha$=.05.

What are three products or services that you enjoy having or using that depend on trade?

Two sound waves with different frequencies travel through a steel rod at the same speed. Explain by giving an operational definition of wave speed.

What role have mass extinctions played in the history of life?

Find: a. the diameter of a circular pond of perimeter 37.38 m b. the radius of a circular pond of perimeter 32.67 m.

a. Do you think the location of France and Germany relative to the rest of Europe is a geographic advantage or disadvantage? Explain. b. What geographic reason might account for the fact that Spain and Great Britain colonized much of the Americas?

How can you say 'Jorge Luis Borges is a famous Argentine writer.' in Spanish?

Find the GCF of $6, 8$ using prime factorisations.

The owner of a kitchen and bath store wants to combine $7.92-per-pound eucalyptus bath salts with 88 cents-per-pound Epsom salt to create 40 pounds of a$2.64-per-pound bath salt mix. How many pounds of each should be used?

Calculate the value of each slope m, if possible, by using the slope formula. $m=\frac{-2-(-2)}{4-(-3)}$

Hurricane Wilma of 2005 is the most intense hurricane on record in the Atlantic basin, with a low-pressure reading of 882 mbar (millibars). Convert this reading into inches of Hg.

Fill in each blank so that the resulting statement is true. In order to perform set operations such as $(A \cup B) \cap(A \cup C)$, begin by performing any set operations ____.