What is the heat of fusion and why is it important?

Perform the indicated operation.

$$(x-y)^{-1}+(x-y)^{-2}$$

What is fusion? Is fusion exothermic or endothermic? Why?

Consider the statement: "A triangle is equilateral if it has three sides with the same length."

a. Write the statement in if-then form. Identify the hypothesis and conclusion.

b. Write the converse, inverse, and contrapositive of the conditional statement. Which are true?

c. Can the conditional statement be written as a biconditional statement? Explain.

The molar heat of fusion of aluminum metal is $10.79 \mathrm{~kJ} / \mathrm{mol}$, whereas its heat of vaporization is $293.4 \mathrm{~kJ} / \mathrm{mol}$.
d. What quantity of heat would be required to melt $0.105$ mole of aluminum at its normal melting point?

Suppose you have $\$28.00$ in your bank account and start saving $\$18.25$ every week. your friend has $\$161.00$ in his account and is withdrawing $\$15$ every week. When will your account balances be the same?

What determines the direction of heat flow ?

Consider heat loss from a 200-L cylindrical hot water tank in a house to the surrounding medium. Would you consider this to be a steady or transient heat transfer problem? Also, would you consider this heat transfer problem to be one-, two-, or three-dimensional? Explain.

What may cause an input stream to enter the fail state? What happens when an input stream enters the fail state?

Perform the indicated operation. $x^2 \cdot x^8$.

What is the speaker rebelling against? Use specific passages to support your answer.

A piece of metal absorbs $2.48 \mathrm{~kJ}$ of heat, increasing its temperature by $25^{\circ} \mathrm{C}$. (a) What's its heat capacity?

In 2012, 1,664,479 students took the SAT exam. The distribution of scores in the verbal section of the SAT had a mean $\mu=496$ and a standard deviation $\sigma=114.$ Let X = a SAT exam verbal section score in 2012. Then $X \sim N(496, 114).$ Find the z-scores for $x_{1}=325 \text { and } x_{2}=366.21.$ Interpret each z-score. What can you say about $x_{1}=325 \text { and } x_{2}= 366.21?$

Perform the indicated operation. $(2 a-5)(a-3)$.