The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana.AlabamaArkansasLouisianasoybeans (s)soybeans (s)soybeans (s) peanuts (p)rice (r)sugarcane (n)corn (c)cotton (t)rice (r)hay (h)hay (h)corn (c)wheat (w)wheat (w)cotton (t)Let U be the smallest possible universal set that includes all of the crops listed; and let A, K, and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find the indicated set.K ? L
A. {c, h, n, r, s, t, w}
B. {n, r, t}
C. {r, s, t}
D. {c, h, n, w}
Answer: A
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Perform the indicated operation
Solve the problem.In one study the maximum heart rates of conditioned athletes were examined. A group of athletes was exercised to exhaustion. Let x represent an athlete's heart rate five seconds after stopping exercise and y represent an athlete's heart rate ten seconds after stopping exercise. It was found that the maximum heart rate H for these athletes satisfied the following two equations. H = 0.491 x + 0.468 y + 11.2 H = -0.981 x + 1.872y + 26.4If an athlete had a maximum heart rate of H = 158, determine the value of y graphically to the tenths place.
A. y = 152.1 B. y = 151.4 C. y = 151.8 D. y = 147.7
Solve.A football team lost 7 yards on each of two consecutive plays. Represent the total loss as product of signed numbers and find the total loss.
A. 2 ? (-7) = -16 yds; 16 yard loss B. 7 - 2 = 5 yds; 5 yard loss C. 2 + (-7) = -5 yds; 5 yard loss D. 2 ? (-7) = -14 yds; 14 yard loss
Verify the identity.
= 1 - tan y cot x
What will be an ideal response?