填空题On Mindy's guitar, the frequency of a vibrating string varies inversely as the length of the string. When a guitar string of s inches in length that vibrates at a frequency of 80 cycles per second is shortened to 6 inches in length, it vibrates at a fr

题目
填空题
On Mindy's guitar, the frequency of a vibrating string varies inversely as the length of the string. When a guitar string of s inches in length that vibrates at a frequency of 80 cycles per second is shortened to 6 inches in length, it vibrates at a frequency of 120 cycles per second. What is the value of s?____

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  • 第1题:

    单选题
    By the 1970's, the wolf had been fully ______ from Yellowstone National Park, but by 2002, reintroduction efforts resulted in more than 160 wolves again inhabiting the park.
    A

    sanctioned

    B

    protected

    C

    eradicated

    D

    derided

    E

    galvanized


    正确答案: A
    解析:
    根据句意,可知空缺部分应和“reintroduction”的意思相反,故选C项。eradicate“根除;消灭”。

  • 第2题:

    单选题
    If 2x-3y = 11 and 3x+15 = 0, what is the value of y?
    A

    -7

    B

    -5

    C

    1/3

    D

    3

    E

    10


    正确答案: A
    解析:
    First solve the equation that contains one variable. Since 3x+15 = 0, then 3x = -15, so x = -15/3 = -5. Substituting -5 for x in the other equation, 2x-3y = 11, gives 2(-5)-3y = 11 or -10-3y = 11. Adding 10 to both sides of the equation makes -3y = 21, so y = -21/3 = -7.

  • 第3题:

    单选题
    The Prime Minister's speech was ______ —overflowing with praise for the work the legislators had done.
    A

    nebulous

    B

    legitimate

    C

    effusive

    D

    exorbitant

    E

    arguable


    正确答案: B
    解析:
    “overflowing with praise”短语暗示空单词应为“effusive”。effusive“热情洋溢的;喷出的”;nebulous“朦胧的;星云的”;legitimate“合法的;正当的”;exorbitant“过高的;过分的;不在法律范围内的;arguable“可论证的;可疑的”。

  • 第4题:

    单选题
    How many positive integers less than 70 are equal to the product of a positive multiple of 5 and an even number?
    A

    4

    B

    6

    C

    9

    D

    10

    E

    11


    正确答案: D
    解析:
    All even multiples of 5 must be multiples of 10. So the multiples of 10 between 0 and 70 are 10, 20, 30, 40, 50 and 60. That’s 6 altogether.

  • 第5题:

    单选题
    Dr. Icahn invested $2 000 in an account paying 5% interest annually. How many more dollars must he invest at 3% so that his total annual income is 4% of his entire investment?
    A

    $1 000

    B

    $2 000

    C

    $2 500

    D

    $2 800

    E

    $3 500


    正确答案: E
    解析:
    Let x represent the amount invested at 3%, then 2 000+x is his total investment. 0.05×2000+0.03x=0.04(2000+x), x=2 000.

  • 第6题:

    单选题
    The author expresses disappointment at the end of the first paragraph (lines 9-11) primarily because she ______.
    A

    had expected to feel differently about entering Paris

    B

    did not want to carry her luggage to her destination

    C

    was fired and hungry from the long plane ride

    D

    had hoped Paris would be less dirty

    E

    realized she brought too many belongings


    正确答案: E
    解析:
    作者提到她的感受“This was not the climactic moment I had anticipated”,故选A项最合适。

  • 第7题:

    单选题
    The passage is primarily concerned with ______.
    A

    the etiquette of the eighteenth century

    B

    the ensuing romance between two people from different social classes

    C

    the lesson that one can never be too careful

    D

    the resilience of the human spirit to rise after a fall and adapt to new surroundings

    E

    the workings of social networks and importance of befriending the upper class


    正确答案: A
    解析:
    这篇文章主要是关于两个经历过经济困难上的女人慢慢适应社会并重新找到她们在社会上的位置。

  • 第8题:

    问答题
    Most linguists are convinced that the ability to speak, while uniquely human, is simply a combination of             A                              Bcognitive skills that have been passed on to our species through evolution. No error    C                    D                E

    正确答案: E
    解析:
    原句正确。

  • 第9题:

    单选题
    A bicycle company makes five styles of bikes in seven different colors. How many different bicycles can the company make when considering both style and color?
    A

    35

    B

    12

    C

    7

    D

    5

    E

    2


    正确答案: D
    解析:
    Multiply the number of styles, 5, by the number of colors,7, to get the number of bicycles that can be made by thecompany,5×7 = 35. Therefore, there are a total of 35 different types of bicycles that can be made by the company.

  • 第10题:

    单选题
    The plot of the movie was neither plausible and it was not even faithful to the novel.
    A

    and it was not even faithful to the novel

    B

    nor was it faithful to the novel

    C

    nor faithful to the novel

    D

    and certainly not faithful to the novel

    E

    yet hardly faithful to the novel


    正确答案: D
    解析:
    neither...nor为固定搭配。

  • 第11题:

    单选题
    My grandmother's behavior is always ______; she demonstrates correct etiquette in every social situation.
    A

    sumptuous

    B

    tenuous

    C

    decorous

    D

    specious

    E

    imperious


    正确答案: D
    解析:
    根据句子后部分“demonstrates correct etiquette”,可知空缺的单词的意思应为“有礼节的”,故选C项。decorous“有礼貌的;端正的”;sumptuous“华丽的;奢侈的”;tenuous“纤细;贫乏的”;specious“似是而非的;徒有其表的”;imperious“专横的;迫切的;傲慢的”。

  • 第12题:

    单选题
    Company A, Company B, and Company C are three Internet providers in a certain area of the country. The ratio of subscribers of A to B to C is 2:5:6. If there are a total of 65,000 subscriptions, how many of the 65,000 use Company A and Company C?
    A

    55, 000

    B

    40, 000

    C

    35, 000

    D

    30, 000

    E

    25, 000


    正确答案: E
    解析:
    Find three numbers that add up to 65,000 and have a 2:5:6 ratio. 2x+5x+6x=65 000. 13x = 65 000, x=5,000.
    The ratio of A to B to C is: (2×5,000): (5×5,000): (6×5,000)= 10,000: 25,000: 30,000. Therefore, Company A and Company C have a total of 10,000 + 30,000 = 40,000 subscribers.

  • 第13题:

    单选题
    After living in a cramped and ______ studio apart merit for several years, Roberta moved to a house that was commodious and ______.
    A

    expensive, cluttered

    B

    inhospitable, comfortable

    C

    congested, remote

    D

    expansive, roomy

    E

    undecorated, historical


    正确答案: A
    解析:
    根据句意,可知第一个空的意思应和“cramped”意思相近。第二个空应和“commodious”词意相近。故选B项。inhospitable不友好的;不适合居住的。clutter杂乱;混乱。roomy宽敞的;宽大的。

  • 第14题:

    单选题
    ______ Even when offstage, the famous comic, known as much for his quips as his glamorous lifestyle, ironically told the interviewer he lived a very ______ life.
    A

    Facetious, mundane

    B

    Greedy, pompous

    C

    Asinine, whimsical

    D

    Arrogant, commonplace

    E

    Humorous, sonorous


    正确答案: E
    解析:
    即使在台下,他也很诙谐幽默。因为使用“ironicall”表示转折,所以第二个空的意思应与“glamorous lifestyle”形成对比,故选A。facetious“诙谐的;爱开玩笑的”;mundane“世俗的;宇宙的”;pompous“自大的;浮华的”;asinine“驴的;愚蠢的;固执的”;sonorous“响亮的;能发出响亮声音的”。

  • 第15题:

    单选题
    If a line is perpendicular to the line 2x + 6y = 18, what is its slope?
    A

    -1/3

    B

    1/3

    C

    -3

    D

    3

    E

    1/2


    正确答案: A
    解析:
    The slope of the given line 2x + 6y = 18 is -1/3. Perpendicular lines have slopes that are negative reciprocals of each other, so the slope of the line perpendicular to the given line is 3.

  • 第16题:

    单选题
    If the average (arithmetic mean) of a, b, 4, and 10 is 8, what is the value of a + b?
    A

    4

    B

    6

    C

    9

    D

    15

    E

    18


    正确答案: B
    解析:
    根据题干可得出(a+ b + 10 + 4)/4=8,a + b=18。

  • 第17题:

    单选题
    Mordecai finds it hard to understand that some movies were filmed in black and white but are now shown on television in color
    A

    white but are now shown on television in color

    B

    white, but they are now shown as color on television

    C

    white, and have since been shown as color on television

    D

    white, since showing in color on television

    E

    white, but they have since shown color on television


    正确答案: E
    解析:
    B和C项改变了句子本要表达的意思。D项改变了事件发生的顺序。E项改变了句子的意思。故选A项。

  • 第18题:

    单选题
    Which of the following is the best version of sentence 10 (reproduced below)?Composer Jonathan Larson created the musical Rent in 1996 it takes much of the. storyline and characters from La Boheme.
    A

    (As it is now)

    B

    Composer Jonathan Larson created the musical Rent in 1996, it takes much of the storyline and characters from La Boheme.

    C

    Much of the storyline and characters from La Boheme were included in Rent, which is a musical created by composer Jonathan Larson in 1996.

    D

    Rent, a musical by composer Jonathan Larson in 1996, was created by using much of the storyline and characters from La Boheme.

    E

    Composer Jonathan Larson created the musical Rent in 1996 using much of the storyline and many of the characters from La Boheme.


    正确答案: C
    解析:
    原句是个流水句,用一个逗号连接两个完整的句子。B项也不正确。只有E项最恰当且语法正确。

  • 第19题:

    问答题
    The movement to establish women’s issues as important subjects of study have had a profound impact on the           A                      B       Ccurricula offered in colleges today. No error          D          E

    正确答案: C
    解析:
    谓语动词的主语是单数名词movement,所以谓语动词应改为has led。

  • 第20题:

    单选题
    Which of the following numbers provides a counterexample to the statement above?
    A

    9

    B

    12

    C

    13

    D

    14

    E

    15


    正确答案: D
    解析:
    为证明所有3的倍数为奇数这个陈述是错误的。需要证明至少有一个3的倍数不是奇数。选项中只有12是3的倍数且不是奇数。

  • 第21题:

    单选题
    If 3x+y = c and x+y = b, what is the value of x in terms of c and b?
    A

    (c-b)/3

    B

    (c-b)/2

    C

    (b -c)/3

    D

    (b-c)/2

    E

    (c-b)/4


    正确答案: C
    解析:
    Eliminate y by subtracting corresponding sides of the given equations: 3x+y=c, x+y=b. Therefore 2x+0=c-b, so x= (c-b)/2

  • 第22题:

    单选题
    If r life boats can carry p passengers, how many life boats are needed to carry m passengers?
    A

    rm/p

    B

    pr/m

    C

    prm

    D

    pm/r

    E

    m/rp


    正确答案: C
    解析:
    Let n be the number of life boats needed to carry m passengers. You can compare life boats to passengers. r/p=n/m Cross multiply. Divide by pn=rm/p.

  • 第23题:

    单选题
    The quotation from Joyce Rowe in lines 14-15 focuses primarily on Caulfield's ______.
    A

    moral disillusionment

    B

    social struggles

    C

    fortunate circumstances

    D

    sense of ambivalence

    E

    deceitfulness


    正确答案: E
    解析:
    引自Joyce Rowe的那句话表明和费恩和海丝特不同,霍尔顿享有应许之地的物质财富。也就是比起他们,说霍尔顿是社会中更幸运的一员

  • 第24题:

    单选题
    Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies?
    A

    10

    B

    9

    C

    8

    D

    7

    E

    6


    正确答案: A
    解析:
    Let A, B, C, D, and E represent the five people who want to rent the two movies. List the different pairs of people to find there are 10 pairs {AB, AC, AD, AE, BC, BD, BE, CD, CE, DE}.