Solve the problem.Ken and Kara are 30 miles apart on a calm lake paddling toward each other. Ken paddles at 4 miles per hour, while Kara paddles at 7 miles per hour. How long will it take them to meet?
A. 2
hr
B. 2
hr
C. 10 hr
D. 19 hr
Answer: B
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Use the two steps for solving a linear programming problem to solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?
A. 35 counselors and 10 aides B. 12 counselors and 18 aides C. 18 counselors and 12 aides D. 27 counselors and 18 aides
Solve the equation.y + 
= -7
A. - 
B. 
C. -33
D. - 
Solve the problem.A product of two oscillations with different frequencies such as f(t) = sin(10t) sin(t)is important in acoustics. The result is an oscillation with "oscillating amplitude." src="https://sciemce.com/media/4/ppg__tttt0506191043__f1q58g4.jpg" alt="" style="vertical-align: -4.0px;" /> last two functions constitute an "envelope" for the function g(t). For certain values of t, the two cosine functions in g(t) cancel each other out and near-silence occurs; between these values, the two functions combine in varying degrees. The phenomenon is known (and heard) as "beats." For what values of t do the functions cancel each other?
What will be an ideal response?
the product f(t) of the two oscillations as a sum of two cosines and call it g(t).
a graphing utility, graph the function g(t) on the interval 0 ? t ? 2?.
the same system as your graph, graph y = sin t and y = -sin t.
Graph the inequality.y < -4x + 1
A. 
B. 
C. 
D. 