Write the statement in symbolic form.p: Manuel is Carmen's brother.q: Carmen is Manuel's sister. Manuel is not Carmen's brother if and only if Carmen is not Manuel's sister.
A. p ? ~ q
B. ~ p ? ~ q
C. ~ p ? ~ q
D. ~ p ? ~ q
Answer: D
Mathematics
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Write the partial fraction decomposition of the rational expression.
A. 
+ 
B. 
+ 
C. 
+ 
D. 
+ 
Mathematics
Determine if the given value is a solution to the equation.
- 4 = 
+ 5; - 108
A. No B. Yes
Mathematics
Find the missing length(s) in the right triangle. Give an exact answer and, where appropriate, an approximation to three decimal places.
A. a = 5 cm; b = 75 cm
B. a = 5 cm; b = 5
? 8.66 cm
C. a = 5
? 8.66 cm; b = 7.5 cm
D. a = 5
? 8.66 cm; b = 5 cm
Mathematics
Factor completely. If the polynomial cannot be factored, say it is prime.512x4 - x
A. x(8x + 1)(64x2 - 8x + 1) B. x(8x - 1)(64x2 + 1) C. x(512x - 1)(x2 + 8x + 1) D. x(8x - 1)(64x2 + 8x + 1)
Mathematics