The beam is made from a soft linear elastic material having a constant $E I$. If it is originally a distance $\Delta$ from the surface of its end support, determine the distance $a$ at which it rests on this support when it is subjected to the uniform load $w_0$, which is great enough to cause this to happen.

Shane returned from a trip to Las Vegas with $\$ 300.00$, which was $50 \%$ more money than he had at the beginning of the trip. How much money did Shane have at the beginning of his trip?

As the number of times the account in the previous item is compounded per year increases, what appears to be happening to the amount of money in the account after 1 year?

Write an algebraic expression that represents the specified quantity in the verbal statement, and simplify if possible. The amount of money (in cents) represented by $m$ nickels and $n$ dimes

What objects were personified in There Will Come Soft Rains?

The communications satellites that carry telephone messages between New York City and London have orbits above Earth's equator at an altitude of 13,500 km. Approximately how long does it take for each message to travel between these two cities via the satellite?

In the mentioned Fig. the cables are at an angle of $30^{\circ}$ to the horizontal direction. How large are the forces $\mathrm{F}_1$ and $\mathrm{F}_2$ they exert on the traffic light if its weight is "w"?

The annual Cheese Rolling happens in May at Gloucestershire, England. As the name suggests, large, 7-9 pound wheels of cheese are rolled down a steep hill, and people chase after them. The first person to the bottom wins cheese. Renaldo wants to go to the Cheese Rolling: He plans to leave from Atlanta and fly into London ( 4281 miles). On the return, he will fly back from London to New York City ( 3470 miles) to visit his aunt. Then Renaldo heads back to Atlanta. Atlanta, New York City, and London do not lie on the same line. Find the range of the total distance Renaldo could travel on his trip.

The London Eye is a Ferris wheel with an approximate diameter of 440 feet, making one full rotation in 30 minutes. The diagram represents the London Eye centered on a coordinate grid. From this view, the Ferris wheel rotates counterclockwise. To the nearest tenth, what will be the coordinates of point P in one minute? Assume a constant rate. Show how you arrived at your answer.

The graph shows the number of files scanned by a computer virus detection program over time.

What does point A represent?

Find three factorizations for each monomial.

$$15m^5n$$

Evaluate $\frac{a-b}{3}$ when $a$ is three times $b$ and $a=18$.

a. List the sample space for spinning arrows (not shown) on the three spinners shown. Find each probability.

b. P(all the same color or red on one of the spinners)

c. P(yellow on all three spinners or red on all three spinners)

d. P(blue on at least one spinner or yellow on at least one spinner)

What is the book Three Cups of Tea about?