Various species of hagfish, or slime eels, live on the ocean floor, where they burrow inside other fish, eating them from the inside out and secreting copious amounts of slime. Their skins are widely used to make eelskin wallets and accessories. Suppose a hagfish is caught in a trap at a depth of 200 m below the ocean surface, where the water temperature is $10^\circ C,$ then brought to the surface where the temperature is $15^\circ C.$ If the isothermal compressibility and volume expansivity are assumed constant and equal to the values for water, $\left(\beta=10^{-4} \mathrm{K}^{-1} \text { and } \kappa=4.8 \times 10^{-5} \mathrm{bar}^{-1}\right)$ what is the fractional change in the volume of the hagfish when it is brought to the surface?

You have a bag with two red marbles, three blue marbles, and five green marbles. You choose a marble at random. Without replacing the marble, you choose a second marble. Find the probability. P(red then green)

Solve the system by graphing.

$$\begin{array}{l}{y=3 x-4} \\ {y=-2 x+1}\end{array}$$

The Tait equation for liquids is written for an isotherm as: $V=V_{0}\left(1-\frac{A P}{B+P}\right)$ where V is molar or specific volume, $V_0$ is the hypothetical molar or specific volume at zero pressure, and A and B are positive constants. Find an expression for the isothermal compressibility consistent with this equation.

For liquid water the isothermal compressibility is given by: $\kappa=\frac{C}{V(P+b)}$ where c and b are functions of temperature only. If 1 kg of water is compressed isothermally and reversibly from 1 to 500 bar at $60^\circ C,$ how much work is required? At $60^\circ C,$ b = 2700 bar and $c=0.125 \mathrm{cm}^{3} \cdot \mathrm{g}^{-1}$

One mole of air, initially at $150^\circ C$ and 8 bar, undergoes the following mechanically reversible changes. It expands isothermally to a pressure such that when it is cooled at constant volume to $50^\circ C$ its final pressure is 3 bar. Assuming air is an ideal gas for which $C_P = (7/2)R$ and $C_V = (5/2)R,$ calculate W, Q, $\Delta U,$ and $\Delta H.$

Generally, volume expansivity $\beta$ and isothermal compressibility $\kappa$ depend on T and P. Prove that: $\left(\frac{\partial \beta}{\partial P}\right)_{T}=-\left(\frac{\partial \kappa}{\partial T}\right)_{P}$

Consider the following functions (on the given interval, if specified). Find the inverse function, express it as a function of x, and find the derivative of the inverse function. $f(x)=x^{2 / 3}$, for $x \geq 0$

What account is credited when electronic funds transfer is used to pay cash on account?

Draw three lines under each lowercase letter that should be capitalized. Characters viola and sebastian find love.

Consider the following curves on the given intervals. a. Write the integral that gives the area of the surface generated when the curve is revolved about the given axis. b. Use a calculator or software to approximate the surface area. $y=(2 x+3)^{2}$, for $0 \leq x \leq 1$; about the y-axis

Circle the correct answer. Where does the sexual phase of the Plasmodium life cycle occur? (a).in the liver (b).in the mosquito

Write the letter of the correct answer on the line at the left. ____ How do the skeletons of insects and vertebrates differ? A. Insects have fluid skeletons. Vertebrates have external skeletons. B. Insects have external skeletons. Vertebrates have internal skeletons. C. Insects have internal skeletons. Vertebrates have external skeletons. D. Insects have external skeletons. Vertebrates have fluid skeletons.

Read what the people want to do and write sentences explaining where they go.

1. Quiero preparar arroz con pollo.
2. Nosotras queremos cocinar con verduras.
3. Marisa y Susana quieren pan para desayunar.
4. Tú quieres comprar frutas.