Determine the natural logarithm of the number. Round to the nearest ten-thousandth.0.000202

A. -3.6946
B. 3.6946
C. 8.5072
D. -8.5072


Answer: D

Mathematics

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Write the compound statement in words.Let r = "The puppy is trained."   p = "The puppy behaves well."  q = "His owners are happy."~(p ? q)

A. If the puppy does not behave well then his owners are not happy. B. The puppy behaves well or his owners are happy. C. The puppy behaves well and his owners are happy. D. It is not the case that if the puppy behaves well then his owners are happy.

Mathematics

Solve the problem.When a tow truck is called, the cost of the service is given by the linear function , where y is in dollars and x is the number of miles the car is towed. Find and interpret the slope and y-intercept of the linear equation.

A. m = 3; The cost of the service increases $3 every mile the car is towed.  ; The cost of the service is $50 if the car is not towed.
B. m = 3; The number of miles the car is towed increases 3 miles for every dollar spent on the service.  ; The tow truck will tow the car 50 miles for no cost.
C. m = 50; The number of miles the car is towed increases 50 miles for every dollar spent on the service.  ; The tow truck will tow the car 3 miles for no cost.
D. m = 50; The cost of the service increases $50 every mile the car is towed.  ; The cost of the service is $3 if the car is not towed.

Mathematics

Determine the domain and the range of the function.f(x) = x2 + 12x

A. domain: {x|x ? -6} range: {y|y ? -36} B. domain: all real numbers range: {y|y ? 36} C. domain: {x|x ? 6} range: {y|y ? 36} D. domain: all real numbers range: {y|y ? -36}

Mathematics

Find a set of parametric equations for the conic section or the line.Ellipse: Center: (5, -3); Vertices: 6 units above and below the center; Endpoints of Minor Axis: 2 units left and right of the center.

A. x = 2 + 5 cos t, y = 6 - 3 sin t B. x = 5 - 2 cos t, y = -3 - 6 sin t C. x = 5 + 6 cos t, y = -3 + 2 sin t D. x = 5 + 2 cos t, y = -3 + 6 sin t

Mathematics