Design an interface named Colorable with a void method named howToColor(). Every class of a colorable object must implement the Colorable interface. Design a class named Square that extends GeometricObject and implements Colorable. Implement howToColor to display the message Color all four sides.

Draw a UML diagram that involves Colorable, Square, and GeometricObject. Write a test program that creates an array of five GeometricObjects. For each object in the array, display its area and invoke its howToColor method if it is colorable.

A solar furnace can be constructed by using a concave mirror to reflect and focus sunlight into the enclosure of a furnace. What factors in the design of the reflecting mirror will guarantee that very high temperatures can be reached?

Design your own test for object permanence. Use several objects and test a younger sibling, cousin, or your pet dog or cat to see if they search for hidden objects. Describe the results of your experiment.

The enzyme catalase is found in almost all living tissues. This enzyme catalyzes the breakdown of harmful hydrogen peroxide in the body. Liver tissue is particularly rich in catalase content, Like all enzymes, catalase is affected by temperature fluctuations. Design and describe an experiment in which a person can study the activity of catalase over a range of temperatures, from $0^{\circ} \mathrm{C}$ to $80^{\circ} \mathrm{C}$. Be sure to include an appropriate control and a data table in your experimental design.

Accompanying a bank statement for Borsa Company is a credit memo for $18,200, representing the principal ($17,500) and interest ($700) on a note that had been collected by the bank. The company had been notified by the bank at the time of the collection, but had made no entry. Journalize the entry that should be made by the company to bring the accounting records up to date.

Interstate Delivery Service is owned and operated by Katie Wyer. The following selected transactions were completed by Interstate Delivery Service during May:

1. Received cash from owner as additional investment, $18,000.
2. Paid advertising expense,$4,850.
3. Purchased supplies on account, $2,100.
4. Billed customers for delivery services on account,$14,700.
5. Received cash from customers on account, $8,200.

Indicate the effect of each transaction on the accounting equation elements (Assets, Liabilities, Owner’s Equity, Drawing, Revenue, and Expense). Also indicate the specific item within the accounting equation element that is affected. To illustrate, answer as follows:

(1) Asset (Cash) increases by$18,000; Owner’s Equity (Katie Wyer, Capital) increases by $18,000.

In each of the following sentences, underline the correct word or words in parentheses.

Example: The Texas ($\underline{\text{capilol}}$, capital) is on Congress Avenue in Austin; (it's, $\underline{\text{its}}$) dome is magnificent.

She was (formally, formerly) employed at a large accounting firm, hut now she is (quiet, quite) happy working for herself

How would you explain Huygens’ principle to a friend who is not taking physics but knows as much mathematics as you do?

Carbon monoxide is a colorless, odorless gas that binds to hemoglobin at an oxygen-binding site. Indeed, it binds 200 times as tightly as oxygen, accounting for its toxic nature. Even if only one of the four oxygen-binding sites onhemoglobin is occupied by carbon monoxide, and the remaining three are bound to oxygen, oxygen is not released. Explain.

Stuck in the middle of a frozen pond with only your physics book, you decide to put physics in action and throw the 5.00-kg book. If your mass is $62.0 \mathrm{~kg}$ and you throw the book at $13.0 \mathrm{~m} / \mathrm{s}$, how fast do you then slide across the ice? (Assume the absence of friction.)

Design a filter that has the transfer function $H_{\mathrm{H}}(s)=\frac{5 \cdot s^{3}}{(s+100)\left(s^{2}+100 s+10,000\right)}$

Why is the term ultraviolet catastrophe used to describe the discrepancy between the predictions of classical physics and the experimental data for blackbody radiation?

Design a new Triangle class that extends the abstract GeometricObject class. Draw the UML diagram for the classes Triangle and GeometricObject and then implement the Triangle class. Write a test program that prompts the user to enter three sides of the triangle, a color, and a Boolean value to indicate whether the triangle is filled. The program should create a Triangle object with these sides and set the color and filled properties using the input. The program should display the area, perimeter, color, and true or false to indicate whether it is filled or not.

Fold a piece of paper. Cut a design connecting the top and bottom point of the fold. Unfold the shape. Consider a mapping $M$ of the points in the gray region to the corresponding points in the red region.

If a point $P$ is on line $k$, what is the image of $P$ ?