Solve the problem.Two radio transmitters are located 300 miles apart on a shore and send simultaneous signals to a ship that is 150 miles offshore. The signal from transmitter T arrives at the ship 400 microseconds after the signal from transmitter S. The signals travel at the speed of 0.186 miles per microsecond. Find the equation of the hyperbola with foci S and T on which the ship is located. Let the center point between the transmitters correspond to the point (0, 0) and let the x-axis be oriented such that it contains the two transmitters. (Hint: For any point along the hyperbola, the absolute value of the difference of its distances from the foci is 2a.)
A. -
= 1
B. -
= 1
C. -
= 1
D. -
= 1
Answer: A
Mathematics
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Integrate the given expression. dx
A. x7/3 -
x7/2 + C
B. x7/3 -
x7/2 + C
C. x7/3 -
x7/2 + C
D. x7/3 -
x7/2 + C
Mathematics
Solve the problem.32° Fahrenheit = 0° Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is Fahrenheit. Find a formula for the inverse of this function.
A. f-1(x) = (x + 32)
B. f-1(x) = x + 32
C. f-1(x) = (x - 32)
D. f-1(x) = x + 32
Mathematics
Solve the equation. - x = 6
A. x = -7, -3 B. x = -7 C. x = -3 D. No solution
Mathematics
Determine which value(s), if any, must be excluded from the domain of the variable in the expression.
A. x = 0, x = 6, x = -5, x = -4 B. x = -5, x = -4 C. x = 0, x = 6 D. x = 6
Mathematics