Solve the problem.Wind resistance or atmospheric drag tends to slow down moving objects. Atmospheric drag varies jointly as an object's surface area A and velocity v. If a car traveling at a speed of 30 mph with a surface area of 35 ft2 experiences a drag of 115.5 N (Newtons), how fast must a car with 40 ft2 of surface area travel in order to experience a drag force of 308 N?
A. 70 mph
B. 75 mph
C. 67 mph
D. 72 mph
Answer: A
Mathematics
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Use mathematical induction to prove the statement is true for all positive integers n.n(n + 6) < (n + 3)2
What will be an ideal response?
Mathematics
Factor out the greatest common factor. Simplify the factors, if possible.6x(3x + 4) - 5(3x + 4)
A. (18x - 5)(x + 4) B. (6x + 5)(3x - 4) C. (18x + 5)(x - 4) D. (6x - 5)(3x + 4)
Mathematics
Solve.81x2 + 4y2 = 3242y - 9x = 18
A. (0, -9), (2, 0) B. (0, 9), (-2,0) C. (0, -2), (9, 0) D. (0, 2), (0, -9)
Mathematics
Write the indicated event in set notation.When four coins are tossed, the last toss comes up heads.[Hint: when four coins are tossed, the following 16 outcomes are possible:HHHH HHHT HHTH HHTTHTHH HTHT HTTH HTTTTHHH THHT THTH THTTTTHH TTHT TTTH TTTT ]
A.
B.
C.
D.
Mathematics