Given that p and q each represents a simple statement, write the indicated compound statement in its symbolic form.p: The outside humidity is low.q: The central humidifier is running.r: The air in the house is getting dry.The air in the house is getting dry, if and only if the outside humidity is low and the central humidifier is not running.
A. (p ? q) ? r
B. r ? (p ? ~ q)
C. r ? (p ? q)
D. (r ? p) ? ~ q
Answer: B
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Compute the compound interest.Andrea Gilford's savings account has a balance of $916. After 6 years, what will the amount of interest be at 5% compounded annually? Round to the nearest dollar.
A. $317 B. $312 C. $22 D. $303
Solve the problem.A rectangular garden is three times as long as it is wide. If the area of the garden is 768 ft2, find the length and width of the garden.
A. length: 45 ft; width: 15 ft
B. length: 16 ft; width: ft
C. length: 48 ft; width: 16 ft
D. length: 256 ft; width: 3 ft
Write out the first five terms of the sequence.an = (-1)n - 1
A. 4, 1, , 1,
B. 4, - ,
, - 1,
C. - 4, ,
, - 1,
D. - 4, , -
, 1, -
State whether the given pair of expressions are like terms. If they are like terms, add them.6x9, 7x9, -9x9
A. No B. Yes; 4x9 C. Yes; 4x27 D. Yes; -378x9