Calculate the enthalpy change in calories when 45.2 g of steam at 100$\degree$C condenses to water at the same temperature. What is the enthalpy change in joules?

For the regression equation obtained in Exercise $15.95$, analyze the residuals by (a) constructing a histogram, (b) using a normal probability plot, (c) plotting the residuals versus the $x$ values, and (d) plotting the residuals versus the order in which they were observed. Do any of the assumptions of the simple linear regression model appear to have been violated?

The photo at the right shows a monument in Oberlin, Ohio, that is dedicated to the Underground Railroad. The slope of each of the rails is about $-\frac{3}{5}$ and the sculpture is about 12 feet long. What is the height of the ends of the rails? Explain how you found your answer.

From the following list, which food choice is generally recommended for pregnant women: swordfish, spinach, wine, herbal tea?

Submarine P is at (-5, 4) and fires a torpedo with velocity vector

$$\left( \begin{array}{c}{3} \\ {-1}\end{array}\right)$$

at 1 : 34 pm. Submarine Q is at (15, 7) and a minutes later fires a torpedo with velocity vector

$$\left( \begin{array}{c}{-4} \\ {-3}\end{array}\right)$$

. Distances are measured in kilometres and time is in minutes. Show that the position of P's torpedo can be written as $\mathrm{P}\left(x_{1}(t), \quad y_{1}(t)\right)$ where $x_{1}(t)=-5+3 t$ and $y_{1}(t)=4-t$.

What is your awareness set, evoked set, inert set, and inept set for automobiles? In what ways, if any, do you think your sets will differ from those of the average member of your class? Explain why?

Determine the capacitance of each chip capacitor in Fig. 16–36.

A $36\ \mu \mathrm{F}$ capacitor is connected in parallel with an $18-\mu \mathrm{F}$ capacitor. What is the equivalent capacitance of the pair?

Write each set in set-builder and interval notation, if possible. n>-7

A googol is

$$10 ^ { 100 }$$

, and a googolplex is

$$10 ^ { \operatorname { googol } }$$

. Find log(log(googol)) and log(log(log(googolplex)))

During the tax season, every Friday, the J&J accounting firm provides assistance to people who prepare their own tax returns. Their charges are as follows: For others, if the consulting time is less than or equal to 20 minutes, there are no service charges; otherwise, service charges are 70% of the regular hourly rate for the time over 20 minutes. (For example, suppose that a person has low income and spent 1 hour and 15 minutes, and the hourly rate is $70.00. Then the billing amount is 70.00 * 40 * (45 / 60)5$21.00.) Write a program that prompts the user to enter the hourly rate, the total consulting time, and whether the person has low income. The program should output the billing amount. Your program must contain a function that takes as input the hourly rate, the total consulting time, and a value indicating whether the person has low income. The function should return the billing amount. Your program may prompt the user to enter the consulting time in minutes.

The area of a rectangle is the rectangle’s length times its width. Write a program that asks for the length and width of two rectangles. The program should tell the user which rectangle has the greater area, or if the areas are the same.

The paths of some roller coasters may be modeled by a polynomial function, where t is the time, in tens of seconds, after the ride has started and h(t) is the height, in feet. Some roller coasters go underground as well as above the ground. In factored form, the beginning part of one roller-coaster ride can be modeled by the function $h(t)=\frac{1}{4}(t-2)(t-4)(t-7)(t-9)$.

a. Find the starting height of this roller coaster.

b. Plot this function on your graphing calculator, and determine the path of the roller coaster for the first 100 seconds.

c. Determine an equation of a polynomial function that can be used to model a portion of a roller-coaster ride when the coaster starts 45 feet above the ground, enters an underground tunnel after 30 seconds, and then emerges from underground 20 seconds later.

Three concentric circles of radii $r_1, r_2$, and $r_3, r_1>r_2>r_3$, are the boundaries of the regions that form a circular target. If a person fires a shot at random at the target, what is the probability that it lands in the middle region?