Write the numbers in order of increasing size.
, 
, 
, 0.95
A. 0.95, 
, 
, 
B. 
, 
, 
, 0.95
C. 
, 
, 
, 0.95
D. 
, 
, 
, 0.95
Answer: D
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Solve the problem.A 2,000-L tank is initially filled with a copper sulfate solution with a concentration of 50 g/L. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 8 L/min. The thoroughly mixed solution is drained from the tank at a rate of 8 L/min.(a) Write an initial value problem for the mass of the copper sulfate.(b) Solve the initial value problem.
A. (a) m'(t) = 0.004m + 160, m(0) = 50 (b) m = -39,950e0.004t + 320,000 B. (a) m'(t) = -0.004m + 20, m(0) = 50 (b) m = -39,950e-0.004t + 40,000 C. (a) m'(t) = -250m + 160, m(0) = 100,000 (b) m = 60,000e-0.004t + 320,000 D. (a) m'(t) = -0.004m + 160, m(0) = 100,000 (b) m = 60,000e-0.004t + 40,000
Solve the problem.The outfield wall in a baseball park is in the shape of a quarter circle. If the radius of the circle is 7 feet, how long is the wall? Use 3.14 for ?. Round your answer to the nearest tenth.
A. 5.5 ft B. 22.0 ft C. 9.0 ft D. 11.0 ft
Find the vertex, focus, and directrix of the parabola with the given equation.(y - 2)2 = 20(x + 1)
A. vertex: (1, -2) focus: (6, -2) directrix: x = -4 B. vertex: (-1, 2) focus: (4, 2) directrix: x = -6 C. vertex: (2, -1) focus: (7, -1) directrix: x = -3 D. vertex: (-1, 2) focus: (-6, 2) directrix: x = 4
Provide an appropriate response.Decide if the system has one solution, no solution, or an infinite number of solutions. 6x - y = 33 x + 6y = 24
A. An infinite number of solutions B. No solution C. One solution