A real number t is given. Find the reference number for t. $t=\frac{5 \pi}{3}$

Complete the ratio table below to show ratios equivalent to 4:18.

$$\begin{matrix} \text{48} & \text{160} & \text{ } & \text{8} & \text{ }\\ \text{ } & \text{ } & \text{20} & \text{ } & \text{90}\\ \end{matrix}$$

Solve the formula d=(m/v) for the variable m.

Use graphical methods to solve the inequality.

$$2 x^2 \leq 5 x+6$$

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. $log _q 3=1$

Three circles with radii 1,2, and 3 ft are externally tangent to one another, as shown in the figure. Find the area of the sector of the circle of radius 1 that is cut off by the line segments joining the center of that circle to the centers of the other two circles.

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.

Use reference angles to evaluate the expression.

If $\cos t=\frac{1}{2}$, what is the $\cos (-t)$?

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

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

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

Use

$$\log _ { 5 } 3 \approx 0.6826 \text { and } \log _ { 5 } 4 \approx 0.8614$$

to approximate the value of each expression.

$$\log _ { 5 } \frac { 3 } { 4 }$$

Calculate the molar mass of xenon trioxide.