Verify each identity. Give the domain of validity for each identity. $\sin \theta \tan \theta=\frac{1}{\cos \theta}-\cos \theta$

Megan correctly spelled 45 out of 50 words In a spelling competition. Justin spelled 27 out of 30 words correctly. Fernando spelled 82 out of 120 words correctly. Which statements are true? Select all that apply. A. Fernando spelled the greatest percent of words correctly. B. Megan and Justin spelled the same percent of words correctly. C. Justin spelled the least percent of words correctly. D. The percent of words that Megan spelled correctly is greater than the percent ofwords that Fernando spelled correctly.

Find all zeros of the polynomial.

$$P ( x ) = x ^ { 3 } + 2 x ^ { 2 } + 4 x + 8$$

What were the main social issues affecting women and children in the Progressive Era, and what reforms did progressives seek to help them?

The government might mark certain classified information as being ______, to distinguish it from ordinary information. People who have the special information must use _______ in deciding who receives it because a leak could compromise national security.

Michael drove 350 miles In 7 hours at a constant speed. Tell whether each statement Is True or False. a. The unit rate for miles to hours Is 50. b. Michael drove 250 miles in 4 hours. c. To find the number of miles Michael drove in 3 hours, multiply 3 by 50. d. To find the number of hours it took Michael to drive. 300 hours, divide 300 by 50.

In the fallowing exercise, the first sentence describes someone or something. Infer information from the first sentence, and then choose the word from the Word Bank that best completes the second sentence. Bilk, glean, emit, substantiate, decadence, feign, tenure, exuberance. Kenneth invested his life savings with Bernie, but never saw a penny of it again, even after Bernie ended up in prison. From this sentence, we can infer that Bernie ______ Kenneth out of his money.

Complete the sentence by inferring information about the italicized word from its context. If high tariffs on all goods embroil the colonists with the mother country, the colonists might...

A thermometer measures ______. If you want your coffee to retain its heat, then you might put it in a[n] ______. A branch of science that deals with the study of heat is called ______ dynamics,

Complete the identities. $\sec \theta=\frac{1}{\square}$

Which of the following expressions is NOT equivalent to the others? A. 3x - y - x - y B. -2(x - y) C. 2(x - y) D. 2x - 2y

Consider an automobile with a mass of $5500 \mathrm{lb}_{\mathrm{m}}$ braking to a stop from a speed of 55 miles/h. a) How much energy (Btu) is dissipated as heat by the friction of the braking process? b) Suppose that throughout the United States, 300,000,000 such braking processes occur in the course of a given day. Calculate the average rate (megawatts) at which energy is being dissipated by the resulting friction. c) Find a source of information on the average per-capita consumption of electricity (kW) in the United States, France, and India. Roughly how many people in each country would have their electricity needs met if the braking energy calculated in Part (b) could be recovered and used to provide electricity? Show your calculations and identify your information source.

A carpenter renovating a house is sanding the dining room floor. She sans 300 ft² of wood floor in 1 h 40 min. What is the unit rate in square feet per minute?

The feed to an ammonia synthesis reactor contains 25 mole% nitrogen and the balance hydrogen. The flow rate of the stream is 3000 kg/h. Calculate the rate of flow of nitrogen into the reactor in kg/h. (Suggestion: First calculate the average molecular weight of the mixture.)