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Rebecca W.

Student at Johns Hopkins University

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Question:

If t > 0 and (t^2) − 9 = 0, what is the value of t?

Rebecca W.

Answer:

The correct answer is 3. To solve for t, factor the left side of (t^2) − 9 = 0, giving (t − 3)(t + 3) = 0. Terefore, either t − 2 = 0 or t + 2 = 0. If t − 3 = 0, then t = 3, and if t + 3 = 0, then t = −3. Since it is given that t > 0, the value of t must be 3. Another way to solve for this is to add 9 to both sides of (t^2) − 9 = 0, giving (t^2) =9. Then, taking the square root of the left and the right side of the equation gives t=±√9=±3. Since it is given that t>0, the value of t must be 3.

Organic Chemistry

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Question:

What is the reason amides are not naturally found in the human body?

Rebecca W.

Answer:

Compared to amines, amides are very weak bases. This relative lack of basicity is explained by the electron-withdrawing nature of the carbonyl group where the lone pair of electrons on the nitrogen is delocalized by resonance.

Pre-Algebra

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Question:

What is 56.789 divided by 0.34?

Rebecca W.

Answer:

The answer to the question above is 167.03.

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