When a Dodge Viper is at Elwood's Car Wash, a BMW Z3 is at Elm and Main. Later, when the Dodge reaches Elm and Main, the BMW reaches Elwood's Car Wash. How are the cars' average velocities between these two times related?

Water flows through a turbine. Calculate the power (MW) transmitted by the output shaft of the turbine. The water density is $1000 \mathrm{~kg} / \mathrm{m}^3$. The elevation of the upper reservoir surface is $720 \mathrm{~m}$ and that of the lower reservoir is $695 \mathrm{~m}$. The pipeline diameter is $2.2 \mathrm{~m}$, the total length is $50 \mathrm{~m}$, and the mean velocity is $2.4 \mathrm{~m} / \mathrm{s}$. The friction factor is $0.25$. The sum of minor loss coefficients is $4.7$. The turbine efficiency is $80 \%$. Choose the closest answer (MW): (a) $1.6$, (b) $1.7$, (c) $2.0$, (d) $2.1$, (e) $2.5$.

Describe two main differences between a water molecule (H2O) and a methane molecule (CH4).

Complete the following table.

Give an example of:

Two different functions that have the same linear approximation near $x = 0$.

The Gateway Arch in St. Louis was constructed using the equation

$$y = 211.49 - 20.96 cosh 0.03291765x$$

for the central curve of the arch, where x and y are measured in meters and |x| ≤ 91.20. Set up an integral for the length of the arch and use your calculator to estimate the length correct to the nearest meter.

Use your answers from the given equations a. A circle: $x=h+r \cos t, y=k+r \sin t$ b. An ellipse: $x=h+a \cos t, y=k+b \sin t$ c. A hyperbola: $x=h+a \sec t, y=k+b \tan t$ to find a set of parametric equations for the conic section or the line. Ellipse: Center: $(4,-1)$; Vertices: 5 units above and below the center; Endpoints of Minor Axis: 3 units to the left and right of the center

Write a function, $h(t)$, to describe the plane's height over time, $t$,

Problem01- A 747 airliner has an initial climb rate of $1800$ feet per minute until it reaches a height of $10,000$ feet.

Complete the following sentences, using the appropriate forms of the verb decir.

Tú siempre_____________ que te gustaría ir de compras.

The bell tower of the cathedral in Pisa, Italy, leans

$$5.6 ^ { \circ }$$

from the vertical. A tourist stands 105 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be

$$29.2 ^ { \circ }$$

. Find the length of the tower to the nearest meter.

A space station is in the shape of a hollow ring, 450 meter in diameter as given in the figure. At how many revolutions per minute should it rotate in order to simulate Earth's gravity-that is, so the normal force on an astronaut at the outer edge would equal the astronaut's weight on Earth?

Recognizing Subjects That Give Orders or Directions. Write the subject of each of the following sentences. Ten of the sentences give orders or directions. The other flve are ordinary sentences in normal word order. Wash your face with soap and water.

Draw all nonisomorphic simple graphs having three vertices.

Each lung receives a main bronchus, blood vessels, and nerves through a slit called the ________.