Name the property illustrated.(6 + 5) + 9 = (5 + 6) + 9

A. commutative property of addition
B. distributive property
C. inverse property of addition
D. associative property of addition


Answer: A

Mathematics

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Solve the initial value problem for x as a function of t.(2t3 - 2t2 + t - 1)  = 3, x(2) = 0

A. x = ln   -  tan-1  t +  tan-1 2 
B. x = ln   - tan-1  t - ln  + tan-1 2 + ln 4.5
C. x = ln   -  tan-1  t -  ln  +  tan-1 2 +  ln 4.5
D. x = ln  -  ln  +  ln 4.5

Mathematics

Provide an appropriate response.The ratio of water to alcohol is 7.5 to 1. To the nearest tenth, how many ounces of water are needed for 25 oz of alcohol?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Simplify the expression. Assume that all variables are positive when they appear.

A. 147x
B. 7
C. 7x
D. 3x2

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Find the equation of the tangent line to the curve when x has the given value.f(x) = x -  ; x = 1

A. y =  - 
B. y = -7x + 28  
C. y =  + 1
D. y = -7x - 9  

Mathematics