Find the character of the roots.t2 - 6t + 9 = 0

A. Two different irrational solutions
B. Exactly one rational solution
C. Two different rational solutions
D. Two different imaginary solutions


Answer: B

Mathematics

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Solve the problem.The van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) =  - , where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the derivative of the function with respect to each variable.

A. PV = ; PT =  - 
B. PV = -  + ; PT = 
C. PV =  - ; PT = 
D. PV =  - ; PT = 

Mathematics

Evaluate the integral.dx

A.  - 3 tan-1 x +  ln(x2 + 1) + C
B.  - ln - 3 tan-1 x +  ln(x2 + 1) + C
C.  - ln  +  ln(x2 + 1) + C
D.  - ln - 5 tan-1 x + ln(x2 + 1) + C

Mathematics

Solve the problem. If necessary, round to the nearest tenth.On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 37 m long and the shadow is 31 m, how tall is the building?

A. 30.4 m B. 48.3 m C. 20.2 m D. 6.0 m

Mathematics

Using the exponential key of a calculator to find an approximation to the nearest thousandth.0.64.458

A. 0.103 B. 3.6 C. 2.675 D. 7849.471

Mathematics