Difference between revisions of "2008 AMC 12A Problems"
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([[2008 AMC 12A Problems/Problem 18|Solution]]) | ([[2008 AMC 12A Problems/Problem 18|Solution]]) | ||
==Problem 19== | ==Problem 19== | ||
| + | In the expansion of | ||
| + | |||
| + | <math>\left(1 + x + x^2 + \cdots + x^{27}\right)\left(1 + x + x^2 + \cdots + x^{14}\right)^2</math>, | ||
| + | |||
| + | what is the coefficient of <math>x^{28}</math>? | ||
| + | |||
| + | <math>\textbf{(A)}\ 195 \qquad \textbf{(B)}\ 196 \qquad \textbf{(C)}\ 224 \qquad \textbf{(D)}\ 378 \qquad \textbf{(E)}\ 405</math> | ||
([[2008 AMC 12A Problems/Problem 19|Solution]]) | ([[2008 AMC 12A Problems/Problem 19|Solution]]) | ||
| + | |||
==Problem 20== | ==Problem 20== | ||
Revision as of 13:51, 17 February 2008
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
Problem 1
A bakery owner turns on his doughnut machine at 8:30 AM. At 11:10 AM the machine has completed one third of the day's job. At what time will the doughnut machine complete the job?
(Solution)
Problem 2
What is the reciprocal of 
?
(Solution)
Problem 3
(Solution)
Problem 4
(Solution)
Problem 5
(Solution)
Problem 6
Consider a function 
with domain ![$[0,2]$](http://latex.artofproblemsolving.com/9/0/7/9076ffb2b9c051f1b6f07bf18066581d57216258.png)
and range ![$[0,1]$](http://latex.artofproblemsolving.com/e/8/6/e861e10e1c19918756b9c8b7717684593c63aeb8.png)
. Let 
. What are the domain and range, respectively, of 
?
![$\textbf{(A)}\ [ - 1,1],[ - 1,0] \qquad \textbf{(B)}\ [ - 1,1],[0,1] \qquad \textbf{(C)}\ [0,2],[ - 1,0] \qquad \textbf{(D)}\ [1,3],[ - 1,0] \qquad \textbf{(E)}\ [1,3],[0,1]$](http://latex.artofproblemsolving.com/9/c/3/9c34c533e9603d76b4950aabba8383821c18cad2.png)
(Solution)
Problem 7
(Solution)
Problem 8
(Solution)
Problem 9
(Solution)
Problem 10
(Solution)
Problem 11
(Solution)
Problem 12
(Solution)
Problem 13
(Solution)
Problem 14
(Solution)
Problem 15
(Solution)
Problem 16
(Solution)
Problem 17
(Solution)
Problem 18
(Solution)
Problem 19
In the expansion of
,
what is the coefficient of 
?
(Solution)
Problem 20
(Solution)
Problem 21
(Solution)
Problem 22
(Solution)
Problem 23
(Solution)
Problem 24
(Solution)
Problem 25
(Solution)
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