Solve the equation.

$$3^{2 x-1}=6^{x} 3^{1-x}$$

Graph each function over a one-period interval. $y=1-2 \csc \left(x+\frac{\pi}{2}\right)$

What is a circuit? Describe the difference between a path and a circuit.

Find each quotient.

$$-100\div(-10)$$

A 0.0135-kg bullet is fired from ground level directly upward. If its initial speed is 300 m/s, how high does it go? (Neglect air resistance.)

A polling company produces a poll with a 5% margin of error. How many additional people must they survey to reduce the margin of error to no more than 3%?

En una hoja, escribe los números del 1 al 7. Después, escucha lo que necesitan las personas y escribe con qué profesional necesitan hablar.

What are the similarities and differences between plant and animal development?

Find $\frac{d y}{d x}$ by implicit differentiation.

$$x y(2 x+3 y)=2$$

(a) Show that if $V_{an} = 400\angle33^\circ\text{ V}$, $V_{bn} = 400\angle-87^\circ \text{ V}$, and $V_{cn} = 400\angle-207^\circ \text{ V}$, that $V_{an} + V_{bn} + V_{cn} = 0$. (b) Do the voltages in part (a) represent positive or negative phase sequence? Explain.

Devise straightforward experiments to measure the speed of light in a given glass using (a) Snell’s law; (b) total internal reflection; (c) Brewster’s law.

When light of wavelength 350 nm falls on a potassium surface, electrons having a maximum kinetic energy of 1.31 eV are emitted. Find the frequency corresponding to the cutoff wavelength.

A compass originally points north; at this location the horizontal component of the Earth’s magnetic field has a magnitude of $2 \times 10^-{5}$ T. A bar magnet is aligned east–west, pointing at the center of the compass. When the center of the magnet is 0.25 m from the center of the compass, the compass deflects $70^o$. What is the magnetic dipole moment of the bar magnet?

What health risks are associated with anorexia? Why are people with anorexia unlikely to ask for help?