Decide whether the argument is valid or invalid, and give the form (of valid or invalid argument) that applies.If it is cold, then you need a coat.
It is not cold.
A. Invalid; fallacy of the converse
B. Invalid; fallacy of the inverse
C. Valid; modus tollens
D. Valid; reasoning by transitivity
Answer: C
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Factor the GCF out of the given expression.x(4x + 5) - 5(4x + 5)
A. (x + 5)(4x - 5) B. (x - 5)(4x + 5) C. (x - 5)(4x - 5) D. (x + 5)(4x + 5)
Find the general solution of the differential equation. Use C, C1, C2, . . . to denote arbitrary constants. If used, do not simplify hyperbolic functions.y'(t) = 7 + e-3t
A. y = 7 - 
+ C
B. y = 7t - 
+ C
C. y = 7t + e-3t + C
D. y = -3e-3t + C
Use the properties of logarithms to write the expression as the logarithm of a single expression.logx q - logx (q + 5)
A. logx 
B. logx(q + 5)
C. logx 
D. logx 5
Find the length of the third side of the right triangle.Find the length in meters of a leg of a right triangle whose hypotenuse is 20 meters and other leg is 3 meters. Round to the nearest thousandth, if necessary.
A. 195.5 meters B. 391 meters C. 19.8 meters D. 11.5 meters