A vintage sports car accelerates down a hill at an angle of $17^{\circ}$ to the ground figure mentioned. The driver notices that the string of ornamental fuzzy dice hanging from his rear-view mirror is perpendicular to the roof of the car. (a) Draw an FBD of the dice from the frame of reference of the level ground, both when the car is at rest on the hill and when it is accelerating. Explain how the two FBDs differ. (b) Calculate the car's acceleration.

In the following question, use exponential regression to find a function that models the data.

The generalized Bernoulli equation for unsteady flows can be expressed as

$$\frac{P_1}{\rho g}+z_1=\frac{V^2}{2 g}+\frac{1}{g} \int_1^2 \frac{\partial V}{\partial t} d s+h_L$$

If the valve suddenly opened, the exit velocity will vary with time. Obtain an expression for exit velocity $V$ as a function of time. Neglect local losses.

How can this question be answered using a phrase with the verb tener? ¿Carlos es joven? Sí, _____________ 15 _____________.

A traveler in a rocket of length $2 d$ sets up a coordinate system $S^{\prime}$ with origin $O^{\prime}$ anchored at the exact middle of the rocket and the $x^{\prime}$ axis along the rocket's length. At $t^{\prime}=0$ she ignites a flashbulb at $O^{\prime}$. (a) Find the coordinates $x_{\mathrm{F}}^{\prime}, t_{\mathrm{F}}^{\prime}$ and $x_{\mathrm{B}}^{\prime}, t_{\mathrm{B}}^{\prime}$ for the arrival of the light at the front and back of the rocket. (b) Now consider the same experiment as observed in a frame $S$ relative to which the rocket is traveling at speed $v$ (with $S$ and $S^{\prime}$ arranged in the standard configuration). Use the Lorentz transformation to find the coordinates $x_{\mathrm{F}}, t_{\mathrm{F}}$ and $x_{\mathrm{B}}, t_{\mathrm{B}}$ of the arrival of the two signals. Explain clearly why the two times are not equal in frame $S$, although they were in $S^{\prime}$. (This illustrates how two events that are simultaneous in $S^{\prime}$ are not necessarily simultaneous in $S$.)

Write and solve the inequality that models the statement. The sum of y and 20 is less than 37.

¿Cuál es la celebración oaxaqueña que rinde homenaje al estado mediante danzas y bailes?

This involves scheduling several different models of a product to be produced over a given day or week on the same line in a cyclical fashion

Matthew said that there is another condition for parallelograms. He said that if a quadrilateral has two congruent diagonals, then the quadrilateral is a parallelogram. Do you agree? If so, explain why. If not, give a counterexample to show why the condition does not work.

The land around a manufacturing plant was contaminated with compounds that contained metal ions. The company decided to reclaim the metal from the compounds by using electrolysis. They put electrodes into the soil and ran a current from one electrode to the other through a wire above the ground. No current flowed through the ground. What change needs to be made so that electrolysis can be used?

Air enters a 10-m-long section of a rectangular duct of cross section $15 \mathrm{cm} \times 20 \mathrm{cm}$ made of commercial steel at 1 atm and $35^{\circ} \mathrm{C}$ at an average velocity of 7 m/s. Disregarding the entrance effects, determine the fan power needed to overcome the pressure losses in this section of the duct.

Todos somos responsables de proteger el mundo. Completa el diálogo entre estos amigos. Javier: Muchas personas no hacen nada para el medio ambiente, pero nosotros protegemos la naturaleza. Ana: Sí, es cierto que nosotros _____ la naturaleza. Javier: También, yo trabajo de voluntario en un grupo de la escuela. Ana: Sí, es verdad que tú _____ de voluntario. Javier: Ustedes recogen la basura, ¿no? Ana: No, no es cierto que nosotros _____ la basura. Pero es verdad que _____ ayudar a proteger el medio ambiente. Javier: Sí, sé que quieren ayudar.

Find the initial volumetric flow of water from $\operatorname{tank} A$ into $\operatorname{tank} B$, and the pressure at end $C$ of the pipe when the valve is opened. The pipe has a diameter of $0.25\ \mathrm{ft}$. Assume that friction losses within the pipe, valve, and connections can be expressed as $1.28 \mathrm{~V}^2 / 2 \mathrm{~g}$, where $V$ is the average velocity of flow through the pipe.

An amusement park uses large compressible springs to stop cars at the end of a ride. Assume the springs are ideal, with no weight, mass, or damping losses. The combined mass of the car and passengers averages $450 \mathrm{~kg}$, and the cars make contact with the spring at a speed of $3.5 \mathrm{~m} / \mathrm{s}$. Determine the minimum spring constant to bring the car and its riders to a stop in $2.0 \mathrm{~m}$