Solve for the variable indicated. A=½bh for b

Solve for the indicated variable. P = a + b + c; b

Solve the formula for the red variable. Area of rectangle: A = bh

Concept List

$$\begin{array}{lll}\text { represent } & \text { verify } & \text { convert } \\ \text { model } & \text { explain } & \text { pattern } \\ \text { property } & \text { solve } & \text { graph }\end{array}$$

Determine the concept that best describes the given exercise. Choose from the concept list above.

Kim jogged 2.5 km on Monday. Then she jogged d km each day for four days. She jogged a total of 12.8 km for the five days. 2.5+4 d=12.8

Use the graph of $f(x)=x^2$ and the graph of its derivative to answer the question.

State the change in the signs of the gradients of $f$ as you move from the points left of the minimum point, through the minimum, then right of the minimum point. Explain how your answer is demonstrated in the graph of $f^{\prime}(x)$.

Use

$$\log _ { 4 } 3 \approx 0.7925 \text { and } \log _ { 4 } 5 \approx 1.1610$$

to approximate the value of each expression.

$$\log _ { 4 } \frac { 3 } { 4 }$$

You mix solid copper (II) sulfate, $\mathrm{CuSO}_4(s)$, with a small amount of water, $\mathrm{H}_2 \mathrm{O}(l)$ in a beaker. Hydrated copper (II) sulfate, $\mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}(s)$ is produced. A thermometer inside the beaker indicates that the temperature has increased from $19^{\circ} \mathrm{C}$ to $48^{\circ} \mathrm{C}$. List at least four things that are part of the surroundings.

$$\mathrm{CuSO}_4(s)+5 \mathrm{H}_2 \mathrm{O}(l) \longrightarrow \mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}(s)$$

Use your result from the previous question to solve each of these for the unknown variable:

a. $log _{11} 11=x$

b. $log _5 p=1$

c. $log _q 3=1$

Calculate the molar mass of xenon trioxide.

How much energy becomes unavailable for work in an isothermal process at 440 K, if the entropy increase is 25 J/K ?

Refer to Exercise 20.25. Forecast next year’s enrollment using the following methods. Autoregressive forecasting model.

Two dice are thrown. Let E be the event that the sum of the dice is odd, let F be the event that the first die lands on 1, and let G be the event that the sum is 5. Describe the events $EF, E \cup F, FG, EF^c , EFG.$

Saturated steam enters a converging-diverging nozzle at 1.75 MPa, 10 percent moisture, and negligible velocity, and it exits at 1.2 MPa. For a nozzle exit area of $25 \mathrm{cm}^{2},$ determine the throat area, exit velocity. mass flow rate, and exit Mach number if the nozzle (a) is isentropic and (b) has an efficiency of 92 percent.

Compare the advantages and disadvantages of the different methods used to disinfect drinking water.