Solve the indicated equation analytically.The weekly sales in thousands of items of a product has a seasonal sales record approximated by
where t is the time in weeks with t = 1 referring to the first week in the year. During which week(s) will the sales equal 99,650 items?
A. week 4, week 20, and week 52
B. week 21 and week 30
C. week 30 and week 47
D. week 4 and week 47
Answer: A
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Name the conic or limiting form represented by the given equation.3x2 + 42x + 7y2 - 28y + 147 = -28
A. Hyperbola B. Point C. Ellipse D. Empty set
Find the constant of proportionality for the stated conditions: z is directly proportional to t, and when
.
Fill in the blank(s) with the appropriate word(s).
Solve the problem.A biologist controls the humidity H (as a percentage) inside a terrarium. From an initial humidity level of 0%, she allows the humidity in the terrarium to increase by 1% per hour for the next 6 hours. After the 6th hour, she allows the terrarium to dry out (lose humidity) at the rate of 10% per hour. The humidity function H is defined byH(t) = Find k such that H is continuous at t = 24. Then explain why H must be continuous at t = 6 hours.
A. k = 186; H must be continuous at t = 6 hours because time changes continuously. B. k = 66; H must be continuous at t = 6 hours because the humidity level changes continuously. C. k = 54; H must be continuous at t = 6 hours because the humidity level changes continuously. D. k = 174; H must be continuous at t = 6 hours because time changes continuously.
Find u×v.
A. ?
B.
C.
D. ?
E.