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On Mindy's guitar, the frequency of a vibrating string varie

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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相似问题和答案

第1题：

单选题
A local newspaper company prints 520 pages of the newspaper every 30 minutes. How many pages will it print in 5 hours?
A

2,600 pages

B

86.7 pages

C

5,200 pages

D

10,400 pages

E

1,300 pages


正确答案： E
解析：
Let p = the number of pages printed in 5 hours. Set up a proportion to solve for p, remembering to use consistent units for time (either minutes or hours). Let’s change 30 minutes to 0.5 hours.
520/0.5=p/5
5(520) =0.5p
10(520) =p
p=5.200pages

第2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3题：

单选题
What is the best way to revise sentence 6, (reproduced below)?Maelle and Gerard are competent, loving parents, both are engineers.
A

(As it is now)

B

Maelle and Gerard, both engineers, are competent, loving parents.

C

Maelle and Gerard are both competent, both loving parents, both engineers.

D

Maelle and Gerard are both: competent, loving parents, engineers.

E

Maelle and Gerard are both loving and competent parents and engineers.


正确答案： B
解析：
A项是逗号粘连的错误。B项正确地将“engineers”作为同位语。C项“both”不必要地重复了三次。D项不正确，因为冒号后的句子包含逗号粘连的错误。E项“competent”的位置不正确，且改变了句子的意思。

第4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5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6题：

填空题
If the function f is defined by f(x)= (2x-4)/3 for what value of x does f(x) = 18?____

正确答案： 29
解析：
因为f(x)= (2x-4)/ 3=18，2x - 4 = 54，x = 29。

第7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8题：

单选题
Maya Lin was an undergraduate student atYale when she was ______ to create the Vietnam Veterans Memorial in 1981; she was granted this honor when she won the public design competition for the memorial.
A

commissioned

B

conditioned

C

politicized

D

streamlined

E

aggregated


正确答案： C
解析：
当Lin赢取了纪念碑的设计大赛后，她获得了能设计越战纪念碑的这份荣誉。因为可知空缺的单词的意思应指她被选为或授权设计纪念碑。commission“委任；使服役”；conditioned“受条件限制的；习惯于…的”；politicize“参与政治；使政治化”；streamline“组织；使合理化”；aggregated“总计的”。

第9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10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.

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