Use natural logarithms to solve the exponential equation symbolically.5-x = 

A. x = ln 
B. x = - 
C. x = - ln 5
D. x =  


Answer: D

Mathematics

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Write a polynomial in two variables that describes the total area of the shaded region. Express the polynomial as the sum or difference of terms. 5x + 3y  

A. 5x2 + 8xy + 3y2 B. 5x2 + 15xy + 3y2 C. 5x2 + 3y2 D. 5x2 + 5xy + 3y2

Mathematics

Solve the problem.The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 4 sec when the length is 64 inches, what is the period when L = 2.25 inches?

A. 4.5 sec B. 4.75 sec C. 0.75 sec D. 4.25 sec

Mathematics

Find the real solutions, if any, of the equation. Use the quadratic formula.x2 + 5x + 1 = 0

A.
B.
C.
D.

Mathematics

Simplify the expression. ? ? ??

A.
B.
C.
D.
E.

Mathematics