Express as a single logarithm and, if possible, simplify.ln x - ln 4

A. ln( - 4)
B. ln
C. ln 
D. ln


Answer: D

Mathematics

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Multiply. Express the product in lowest terms. ? 

A.
B.  
C.  
D.  

Mathematics

Use the properties of the trigonometric functions to find the exact value of the expression. Do not use a calculator.sec2 40° - tan2 40°

A. 0 B. 2 C. -1 D. 1

Mathematics

The graph is a translation of one of the basic functions defined by y = x2, y = x3, y = , or y = . Find the equation that defines the function.

A. y = (x + 5)2 B. y = (x - 5)2 + 2 C. y = (x - 5)2 D. y = x2 - 5

Mathematics

Sixty liters of a 43% acid solution is obtained by mixing a 28% solution with a 42% solution.Use a graphing utility to graph the two given equations. Let x and y represent the amounts of the 28 % solution and 42% solution. As the amount of the 28% solution increases, how does the amount of the 42% solution change? ? ? ?

A. ?

?

Increases


B. ?

?

Decreases


C. ?

?

Decreases


D. ?

?

Decreases


E. ?


Increases


Mathematics