A drama club plans to sell 100 tickets to a school musical. An adult ticket costs $6, and a student ticket costs$4. Students who attend the school get a $1 discount. The club expects two thirds of the student tickets to be discounted. Write an equation that gives the total revenue r (in dollars) as a function of the number a of adult tickets sold.

Even today, Arthur lives. For example, T. H. White's novel based on the Arthurian legends, The Once and Future King, became a bestseller and the basis of the long-running Broadway musical Camelot (1960). There are even computer games retelling Arthur's story. Why do you suppose the story of King Arthur has had lasting appeal?

Solve the indicated equations analytically.

If two musical tones of frequencies $220$ Hz and $223$ Hz are played together, beats will be heard. This can be represented by $y=\sin 440\pi t+\sin 446\pi t$. Graph this function and estimate $t$ (in s) when $y=0$ between beats for $0/15<t<1.15$

Solve.
The wavelength $w$, in meters per cycle, of a musical note is given by

$$w=\frac{r}{f},$$

where $r$ is the speed of the sound, in meters per second, and $f$ is the frequency, in cycles per second. The speed of sound in air is $344 \mathrm{~m} / \mathrm{sec}$. What is the wavelength of a note whose frequency in air is $24$ cycles per second?

Varios amigos hablan sobre los programas que les gustan. Contesta la pregunta según tus preferencias. Usa el modelo como guía

Modelo:

¿Te gusta el programa musical o el programa cómico?

Me gusta el cómico.

• ¿Prefieres los programas serios o los programas escandalosos?

A synthesizer is a keyboard instrument that can be made to sound like a flute, a trumpet, a piano-or any other musical instrument. Pressing a key sets the fundamental frequency of the note that is produced. Other settings that the player can adjust change the sound quality of the synthesizer without altering the fundamental frequency. How is this change accomplished? What is being adjusted?

For a concert, a circular stage is constructed and placed in the center so fans can completely surround the musicians. To record the sound of the crowd, two directional microphones are placed next to each other on the stage, one facing due east and the other facing due west. The patterns of the microphones can be represented by the polar equations $r=2.5+2.5 \cos \theta$ and $r=-2.5-2.5 \cos \theta.$ Identify the type of curve given by each polar equation.

Use a system of equations to solve the following problems. See the earlier examples.

A tour organizer is planning on taking a group of 40 people to a musical. Balcony tickets cost $\$ 29.95$ and regular tickets cost $\$ 19.95$, and she collects a total of $\$ 1048.00$ from her group to buy the tickets. How many people chose to sit in the balcony?

Read the following passage from The Republic by Plato. Then answer the questions.

"And so we may venture to assert that anyone who can produce the best blend of the physical and intellectual sides of education and apply them to the training of character is producing harmony in a far more important sense than any mere musician."

What would your school day be like if it were based on the statement you chose in question $3$ above? Give specific examples.

Muchos de los estudiantes en la escuela de Ricardo han alcanzado muchos logros (achievements). Él se siente muy orgullosos de ellos y los compara con personas muy famosas. Escribe una frase completa con la información a continuación.

Raúl-tener-talento musical - un concertista

Spruce is a type of wood that is widely used in making musical instruments (such as violins and guitars) because its Young's modulus is high and its density is low. If $Y=1.5 \times 10^{10} \mathrm{~Pa}$ and $\rho=420 \mathrm{~kg} / \mathrm{m}^3$, what is the speed of sound in spruce? How does that compare with the speed of sound in steel?

Choose the answer in which the underlined word is used in the same way as it is used in these sentences from "The Leap." "Though he'd been thinking of moving..., he settled down and broadened his $\underline{practice}$ in this valley." F. It is her $\underline{practice}$ to walk every morning. G. Dara looks forward to band $\underline{practice}$. H. Good musicians $\underline{practice}$ every day. J. His law $\underline{practice}$ covers two counties.

As an example of diffraction by apertures of everyday dimensions, consider a doorway of width $1.0 \mathrm{~m}$. (a) Compute the angular position of the first minimum in the diffraction pattern of 600-nm light. (b) Repeat this calculation for a musical note of frequency $440 \mathrm{~Hz}$ (A above middle C). Take the speed of sound to be $343 \mathrm{~m} / \mathrm{s}$.

Jason Williams bought each of his five nieces a gift, either a DVD of The Twilight Saga: New Moon or the CD soundtrack to High School Musical 3: Senior Year: The DVD cost $\$ 14.99$ and the soundtrack cost $\$ 13.88$, and he spent a total of $\$ 70.51$. How many of each DVD and CD did he buy?