How many different 5-card hands can be obtained from a deck of 52 cards?

Find the exact value of each quadrantal angle. If any are not defined, write undefined. $\csc 1080 ^ { \circ }$

Find a function y=f(x) that describes the parametric curve x=-2t+1, y=

$$3t^2$$

, for

$$- \infty < t < \infty$$

.

A 5-kg rock is thrown upward with a force of 150 N at a location where the local gravitational acceleration is $9.79 m/s^2.$ Determine the acceleration of the rock, in $m/s^2.$

Solve for x exactly without using a calculator. $\log (x+5)=\log (2 x-3)$

Convert these radian measurements to degrees: $\frac{11 \pi}{6}$

A cyberchondriac is defined as a person who regularly searches the Web for health care information. Each year a Harris Poll is conducted to determine the number of cyberchondriacs in the United States. In 2008, the Harris Poll surveyed 1,010 U.S. adults by telephone and asked the following questions: 1. Have you ever gone online to look for health care information? 2. How many times per month do you look for health care information online? 3. In the past year, have you ever discussed with your doctor the information you found online? a. For each question, determine whether the type of data collected is quantitative or qualitative. b. Do the data collected for the 1,010 adults represent a sample or a population? Explain.

Why bother using a machine if it cannot multiply work input to achieve greater work output?

On Black Monday, October 28, 1929, the stock market on Wall Street crashed.The Dow Jones average dropped from 298.94 to 260.64 in one day. What was the relative change in the index?

A straight $12\overline0$-ft culvert is built down a hillside that makes an angle of 25.0 degrees with the horizontal. Find the height of the hill.

Complete the table for this 10-speed bicycle with 24-inch diameter wheels.

$$\begin{matrix} \text{Front Teeth} & \text{Rear Teeth} & \text{Gear Ratio} & \text{Distance for 1 Pedal Stroke (to nearest inch)}\\ \text{42} & \text{10}\\ \end{matrix}$$

What is the answer to the question using the negative 'tú' commands? Modelo: ¿Debo apagar el horno? (la estufa) No, no lo apagues. Apaga la estufa.

¿Debo hacer los espaguetis? (los huevos)

Solve each system by substitution.

$$\begin{cases} y = x^2 - 2x + 3 \\ y = x + 1 \end{cases}$$

No recibimos la información sobre los nuevos aparatos eléctricos. El gerente de la empresa dice que (nos la / se la) ____ enviará la próxima semana.