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    Work formula 1/t1 + 1/t2 = 1/Total1/8 = 0.125 = 12 1/2 %i.e., 5/8=0.625 = 62 1/2%1/6=0.1667

    Square root of 2 = 1.4Square root of 3 = 1.7

    Ambivalent - Indecisive, undecidedAbrogate - annul or abolishArbitrary - subject to individual will or judgment without restriction; contingentsolely upon one's discretion: an arbitrary decision.Auspicious - promising success; propitious; opportune; favorable: an auspicious

    occasion.

    Breech - the lower, rear part of the trunk of the body; buttocks.Calumny - a false and malicious statement designed to injure the reputation ofsomeone or something. Slander or defamation.Colloquy - a conversational exchange; dialogue. A conferenceDelineate - outlined; sketchDepravity - Moral corruption. A state of being depraved.

    Diffident - Reluctant, unwilling, shyElucidate - to make lucid or clear; throw light upon; explain: an explanation thatelucidated his recent strange behavior.Emigrate - to leave one country or region to settle in another; migrateErudite - characterized by great knowledge; learned or scholarly: an eruditeprofessor; an erudite commentary.

    Exhort - urged by words of good advice or caution

    Extralegal - being beyond the province or authority of law. Adj.: Not permitted orgoverned by law.Impel - Propel or drivenImplore - Begged

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    Latent - present but not visible, apparent, or actualized; existing as potential:latent ability.Obloquy - censure, blame, or abusive language aimed at a person or thing, esp. bynumerous persons or by the general public.discredit, disgrace, or bad repute resulting from public blame, abuse, or

    denunciation. To speak abusively or offensively

    Obviated - meet and clear away. To make unecessaryOstensibly - outwardly appearing as such; professed; pretended: an ostensiblecheerfulness concealing sadness.

    2. apparent, evident, or conspicuous: the ostensible truth of their theories.

    Palindrome - a word, line, verse, number, sentence, etc., reading the samebackward as forward, as Madam, I'm Adam or Poor Dan is in adroop.

    Peregrinate - to travelProselytizing - convert from one creed; sect; party to anotherRepartee - a clever, witty retortRancor - bitter animosity; spitefulSoliloquy - the act of talking while or as if alone.Sortie - a mission or an attack

    Strident - Harsh

    Titling - the distinguishing name of a book, poem, picture, piece of music, or thelike. An established or recognized right to something.

    Turpitude - vile, shameful, or base character; depravity.Vice - an immoral or evil habit or practice; immoral conduct; sexual immorality; afault, defect, shortcoming; a habit.

    Quotes which are introduced with "that" do not need to be capitalized. Ex. Thestudy claims that, "a shocking three out of four students admitted to cheating." v.According to the study, "A shocking three out of four students admitted tocheating."Long quotations that are several sentences long should be introduce with a colon(:).

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    Full sentences with parenthesis needs to be capitalizedDo not capitalized "river," "street," or "oceans" plural proper nouns as they aregeneric. Ex. Pacific and Indian oceans

    Capitalized days of the week and months but not seasons.Geographic directions are not capitalized. Ex. We went south.Capitalized names of countries, nationalities, religion, geographic locations. Ex.Brazil, Chinese, French, from the South CatholicAudience, jury, family describe a group of people that function as a singular subject"in addition to" does not make a subject plural. "Only and"

    The noun form of destroy is destruction, not destroying. Ex: The major areas of

    medicine in which lazers are effective are the cutting and closing of blood vessels,and the destruction, of tumors.

    Transitive verbs require a direct objectThat whoA comparison that uses than requires it was after the than.Ex: making the steel industry's economic health much more robust than it wasfive years ago.Which is used for nonessential modifiers. That is used for essential modifiers. Whocan be used for either essential or nonessential modifiers.

    A number is always plural. Ex: A number of dogs are.The number is always singular. Ex: The number of babies born is

    As far asAs long asAs much as it doesAs well asAssume responsibility forAt odds with"Attempt to" is CORRECT"Atempt at" is WRONG

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    Believe thatBelieved to date toBetween and ex. Between you and me

    "both that" should be followed by "and that"Considered a = correctConsidered AS = WRONGCredited withDecided thatDecide whether = CorrectDecision to = Correct

    Decision of = WRONGDerived FROMDiscouraged fromExpected toFlies in the faceFor all we know

    "for investment"From A to B"hazard a guess" is correctImmune toIn any event

    Just as , soLess by than byLess likely than"Native in" is WRONG"No" requires "nor"

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    "Not X but Y"Not onlybut alsoOn the evidence

    Potential toPrefer to

    Preferover =WRONGRefuse for Regarded asSincehas been

    To do so

    TO verb, ...rather than TO

    Turn out

    Twice as many = CorrectTwice the number = CorrectUse "FEWER" for countable things, ex. People/books"LESS" for non-countable things, ex. Less sand/flour

    Use "BETWEEN" to distinguished between two things, ex. Between price and valueUse "AMONG" for greater than two items, ex. Among the four of them"WHERE" must refer to an actual location"WHICH" mush come directly after a comma and refer to the noun just before thecomma (except whenit follows a preposition), ex. "in which""WHEN" must refer to an actual time reference"in the past" + past tense is incorrect due to redundancy

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    a

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    Quadratic Equation

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    Probability of at least 1 outcome:p(A or B) = p(A)+p(B) - p(A and B)

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