Solve the problem.Police use a formula s = S
, where S is the test-car speed and L is the test-skid length, to find the actual speed s in an accident which left a skid mark of l. Find the speed (nearest whole mph) when S = 54 mph,
L = 100 ft.
A. 66 mph
B. 81 mph
C. 44 mph
D. 104 mph
Answer: A
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Use implicit differentiation to find dy/dx and d2y/dx2.4 - y = 2x
A. =
- 2;
= -
B. =
;
=
C. =
;
=
D. =
;
=
Write the equation that results in the desired transformation.The graph of y = x2, vertically stretched by a factor of 6
A. y = 6x2 B. y = (x - 6)2 C. y = -6x2 D. y = 6(x - 6)x2
Solve the following quadratic application by factoring.If an object is thrown upward with an initial velocity of , its height after t sec is given by
. How high is the object after 0.5 sec? At what time will the object hit the ground? (Hint: The height is 0 on the ground.)
A. The object will be 4 ft high after 0.5 sec.; The object will hit the ground after 1 sec. B. The object will be -12 ft high after 0.5 sec.; The object will hit the ground after 9.5 sec. C. The object will be 0 ft high after 0.5 sec.; The object will hit the ground after 11 sec. D. The object will be 16 ft high after 0.5 sec.; The object will hit the ground after 9.5 sec.
Solve the problem.If there are x teams in a sports league and all the teams play each other twice, a total of N(x) games are played, where N(x) = x2 - x. A soccer league has 10 teams, each of which plays the others twice. If the league pays $46 per game for the field and officials, how much will it cost to play the entire schedule?
A. $5060 B. $4232 C. $4140 D. $4600