Solve the application.A 16-foot wire is to be cut into two pieces so that the longer piece is 3 times the length of the shorter piece. What is the length of the longer piece?
A. 12 feet
B. 8 feet
C. 4 feet
D. 20 feet
Answer: A
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Verify the identity.sin 4x = (4 sin x cos x)(2 cos2 x - 1)
What will be an ideal response?
Express the given trigonometric function in terms of the indicated function.cot ?, in terms of csc ?
A. cot ? = ±
B. cot ? = 
C. cot ? = 
D. cot ? = ±
Determine the domain and the equations of the asymptotes for the graph of the rational function.
A. (-?, -4) ? (-4, 4) ? (4, ?), y = 3, x = ±4 B. (-?, 3) ? (3, ?), y = ±4, x = 3 C. (-?, 3) ? (3, ?), y = 3, x = ±4 D. (-?, -4) ? (-4, 4) ? (4, ?), y = ±4, x = 3
Translate to a system of three equations; then solve.A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.45 per pound, almonds for $2.60 per pound, and cashews for $3.40 per pound. Suppose a specialty shop wants a mixture of 210 pounds that will cost $2.56 per pound. Find the number of pounds of each type of nut if the sum of the number of pounds of almonds and cashews is twice the number of pounds of peanuts. Round your answers to the nearest pound.
A. Peanuts: 90 lb., almonds: 70 lb., cashews: 50 lb. B. Peanuts: 50 lb., almonds: 90 lb., cashews: 70 lb. C. Peanuts: 70 lb., almonds: 50 lb., cashews: 90 lb. D. Peanuts: 80 lb., almonds: 50 lb., cashews: 80 lb.