HS Senior Take-Home Final

[SoCalRugger]

You don't. You could make the plots in Excel, but they'd also be easy enough to just draw by hand.

This whole thing should take about 15 minutes.

[neuroman]

[ QUOTE ]
Here's my help...

2a. (24-2x)*(18-2x)*x=Volume.

4a. equation is 6+8*(x-1). So 200th term is 6+199*8=1598
4b. Easy way to get the sum is to average the 450th and 451st term and multiply by 900.
So ((6+8*449)+(6+8*450))/2*900=3,241,800

[/ QUOTE ]
I can't believe you people are helping this kid cheat on his homework.

[scrub]

[ QUOTE ]
[ QUOTE ]
Here's my help...

2a. (24-2x)*(18-2x)*x=Volume.

4a. equation is 6+8*(x-1). So 200th term is 6+199*8=1598
4b. Easy way to get the sum is to average the 450th and 451st term and multiply by 900.
So ((6+8*449)+(6+8*450))/2*900=3,241,800

[/ QUOTE ]
I can't believe you people are helping this kid cheat on his homework.

[/ QUOTE ]

I'm not sure if I'm more surprised that people are helping the kid cheat on his homework or that so many posters are bad at 10th grade math...

scrub

[RogerM]

I cant believe so many people are against helping this kid... Bunch of haters..

[Nottom]

I have no clue why this kid deserves help, but I'm bored:

1) a) w = 33 - (0.0393)(33 - 4)(12.36 + 6.13 root 40 - 0.32(40)) = -10.684 C
b) T = (W-33)/((0.0393)(12.36 + 6.13 root v - 0.32v)))+33 = ((-15)-33)/((0.0393)(12.36 + 6.13 root 20 - 0.32*20)))+33 = -3.596 C

2) a)V = (18-2x)(24-2x)x = 432x - 84x^2 + 4x^3, (0<x<9)
b) tracing a graphing calc gives - x~3.4 (Setting the first derivative = 0 gives (7 - Sqrt13) = 3.3944)

3) Row i has 19+2i seats. Total number of seats = Sum(19+2i) {from i=1 to n} = 19n + 2*Sum i {from i=1 to n} = 19n + 2*((n+1)n/2) = 20n+n^2. [Recall Sum(i) {from i = 1 to n} = n(n+1)/2]
Solving for 20n+n^2 = 800 gives n=20 rows(or n=-40 which can be tossed)
The last row therefore has 19+2*20=59 seats

4) The sequence is 8x-2
a) 200th term is 8(200)-2 = 1598
b) Sum of first 900 is Sum(8i-2) {from i=1 to 900} = 8*(Sum i {from i=1 to 900})-2*900 = 8*(900)*(901)/2-1800 = 3,241,800

5)tan(82.4) = opp/adj = tree/35; tree = 35*tan(82.5) = 265.85 ft

6) y = 4Sin((Pi(x-2))/3)+3 (replace Pi with 180 if you wish to use degrees instead of radians)



7) IS this supposed to be a couple fractions?
2r_____5 (take out the _____)
----- + ----- = 4
r - 1 _ r + 5

If it means 2r/(r-1) + 5/(r+5) = 4 then the answer is:
2r(r+5)+5(r-1)=4(r-1)(r+5)
2r^2+15r-5 = 4r^2+16r-20
2r^2+r-15 = 0
(r+3)(2r-5) = 0
r = -3 or 5/2


8) Law of cosines: c^2 = a^2 + b^2 - 2ab*Cos C
a= 12.5, b= 6.8, C = 70
c = 12.014cm

[Gildwulf]

Bleh let him fail...if all he has to do is take a summer class it will be a valuable lesson.

[ImsaKidd]

Does this kid even understand what a variable is? Number 1 is basic addition/multiplication.