Add or subtract and write answer in lowest terms.
- 
A. 
B. 
C. 
D. 
Answer: C
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Determine which, if any, of the three statements are equivalent.I) A check was mailed to you on Friday, or the check was not mailed to you on Thursday but the check arrived late.II) If the check was not mailed to you on Friday, then the check was not mailed to you on Thursday but the check arrived late.III) The check arrived late, if and only if it was mailed to you on Friday or it was not mailed to you on Thursday.
A. I and III are equivalent B. I, II and III are equivalent C. I and II are equivalent D. None are equivalent
Solve the problem.Find equations of all tangents to the curve f(x) = 
that have slope -1.
A. y = -x - 23, y = -x - 27 B. y = -x + 27 C. y = -x + 27, y = -x - 23 D. y = -x - 23
Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers.
A. 
B. - 
C. 
D. 
Two chemical solutions, one containing N molecules of chemical A and another containing M molecules of chemical B, are mixed together at time t = 0. The molecules from the two chemicals combine to form another chemical solution containing y (AB) molecules. The rate at which the AB molecules are formed, 
, is called the reaction rate and is jointly proportional to
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. Thus,
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where k is a constant (we assume the temperature of the chemical mixture remains constant during the interaction). Solve this differential equation with the side condition 
assuming that 
and 
.
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Hint: Use the identity
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What will be an ideal response?