Is the following sentence a statement: This sentence is false or ?2^2 = 4. Justify your answer.
What will be an ideal response?
The sentence is not a statement because it is neither true nor false. In order for it to be true, at least one of its components must be true. But “This sentence is false” is neither true nor false, and “?2^2 = 4” is false because the left-hand side of the equal sign is ?4 and the right-hand side is 4. On the other hand, in order for the sentence to be false, both of its components must be false and “This sentence is false” is neither true nor false.
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Find all the roots of the complex number. Put answers in standard form.Cube roots of 8j
A. -2j, - 
- j, 
- j
B. -2j, 
+ j, - 
+ j
C. 2j, 
- j, - 
- j
D. 2j, 
+ j, - 
+ j
Solve.The area of a square is found by the equation A = s2 where s is the length of a side. If the area of a square porch is 81 square feet, find the dimensions of the porch.
A. 8 feet by 8 feet B. 11 feet by 11 feet C. 9 feet by 9 feet D. 10 feet by 10 feet
Solve and check. Note that the equation could be an identity or a contradiction.11 - 7(5 - s) + 3(s + 4) = 26
A. - 15
B. 
C. - 
D. 
Find z1z2. Write the answer in polar form with the argument between 0° and 360°.z1 = 10(cos 30° + i sin 30°), z2 = 5(cos 10° + i sin 10°)
A. 50(cos 300° + i sin 300°) B. 15(cos 300° + i sin 300°) C. 50(cos 40° + i sin 40°) D. 15(cos 40° + i sin 40°)