Find the exact solution, using common logarithms, and a two-decimal-place approximation of each solution, when appropriate.

$$2^{-x}=8$$

Complete given sentence by choosing an interjection from the list above.
_____, that was a close call.

Derive an expression for $r_d$ in terms of K, $V_{to}, V_{GSQ},$ and $I_{DQ}$ for an NMOS transistor operating in the triode region.

Solve the nonlinear inequality. Express the solution using interval notation, and graph the solution set.

$$(x+2)(x-1)(x-3) \leq 0$$

Would you say that Johnson's tone is the same in "On Spring" and “on Idleness"? Support your answer.

Use Newton’s method to find the positive fourth root of 2 by solving the equation $x^{4}-2=0.$ Start with $x_{0}=1$ and find $x_{2}.$

Ethane $(C_2H_6)$ gas at $77^\circ F,$ 1 atm enters a well-insulated reactor operating at steady state and burns completely with air entering at $240^\circ F,$ 1 atm. Determine the temperature of the products, in $^\circ F.$ Neglect kinetic and potential energy effects.

Use graphing technology to graph the equation given below.

$$z=-\frac{4.85}{m}$$

Identify given sentence as declarative, imperative, interrogative, or exclamatory.

They call it bossy in a bowl.

Why would a store that is closing put its merchandise on sale?

Solve the given problems.
In studying the frictional effects on a flywheel, the revolutions per minute R that it makes as a function of the time $t$ (in min) is given by $R=4520(0.750)^{2.50 t}$. Find $t$ for $R=1950 \mathrm{r} / \mathrm{min}$.

Describe elevator trips in parallel shafts. Assume that the passenger and freight elevators move at steady speeds and can start and stop instantly. The trips are nonstop unless otherwise indicated. Both elevators start at the same time. A notation like (4, 600) means that 4 minutes into a trip, the elevator is 600 feet above the bottom of the elevator shaft. Rough sketches on a coordinate system may be helpful.

In the Ellis Building,

Passenger: Starts 400 ft up, travels to (2, 40)

Freight: (0.5, 100) to (3, 250)

a. When, if ever, are the two elevators at the same height during this trip? What height is that?

b. How fast does each elevator travel?

Describe Sobel's attitude about longitude and navigation based on her diction and the tone of the essay.

Why is copper matte put in silica lined converter?