Conglomeration of Random Questions

[BlasianAsian]

So...yet again, I have taken a test. And I have failed. So, here are the results of my idiocy. Enjoy! =D

This is TMSCA 06-07 HSCL TEST 1:

26) At what rate must Andrea invest [unparseable or potentially dangerous latex formula] interest compunded semi-annually to have [unparseable or potentially dangerous latex formula] in 12 years?

Yeah, I know the equation and all that, and I have it constructed right here:

[unparseable or potentially dangerous latex formula]

BUT, I don't know how to solve it. I tried converting it to a log equation, but no luck! Luckily, I wasted 7 min guessing and checking. )=

Answer: 2.76

27) A train accelerating from 20 mph to 85 mph in 35 seconds. How far did it travel during this period?

I'm not in physics. Yet. Gimme a break!

Answer: [unparseable or potentially dangerous latex formula]

28) One acid-water mixture has 52% acid by mass and another has 34% acid. If 73 grams of the first mixture is mixed with 160 grams of the other, how much acid must be added to produce a 44% acid mixture?

I kinda get it, but it's worded wierd to me.

Answer: [unparseable or potentially dangerous latex formula]

36) A football player punts a football 52 yards with a hang time of 4.3 seconds. What was the initial velocity of the football?

Answer: [unparseable or potentially dangerous latex formula]

37) A plane flew at 33,000 ft and 560 mph from over San Antonio to Houston. A car drove between the same locations. What is the percent difference in their travel distances?

Answer: [unparseable or potentially dangerous latex formula]

40) A geometry problem. It was a circle in a scalene triangle. It wants the area, and the sides of the scalene triangle are as follows: 7146, 5852, and 5476. Sorry, but IDK how to upload this...

Answer: [unparseable or potentially dangerous latex formula]

46) What is the roaming area of a goat on a 48 ft leash tied to the corner of a shed that is 12 ft by 36 ft?

Answer: [unparseable or potentially dangerous latex formula]

47) A 2.5 qt. saucepan of constant thickness of 3 mm weighs 2.5 lbs when it is empty. How much would a 5 qt. saucepan weigh full of water?

Answer: [unparseable or potentially dangerous latex formula]

HALP! >.<

[BlasianAsian]

And I have taken another test. And yet again, I fail. Why is this? WHY?!?!? WAAAAAAAAAAHHHHHHHHHH! *cries*

TMSCA 06-07 HSCL TEST #3:

17) Lava cools slowly. In 1993, some lava had a temperature of 205 degrees and in 2000 the temperature was 166 degrees. The final temperature is 87 degrees, the annual average temperature at the location of the lava. During what year is the lava 102 degrees if the temperature approaches the limit exponentially?

Answer: [unparseable or potentially dangerous latex formula]

26) Wanda walks a mile in 13 minutes but runs one in 7.2 minutes. How far does she walk if she covers one mile in 10.3 minutes?

?__________?

Answer: [unparseable or potentially dangerous latex formula] feet

27) A football field is [unparseable or potentially dangerous latex formula] yards long (including end zones) and [unparseable or potentially dangerous latex formula] yards wide. The "end zone" is 10 yards deep on each end. What is the distance between one end of a goal line and the opposite corner of the end zone on the other end of the field?

Answer: [unparseable or potentially dangerous latex formula] feet

36) One gallon of salt water solution is 13% salt. Water is added to make a 3.7% solution. How much 3.7% solution is there?

Answer: [unparseable or potentially dangerous latex formula]

HALP! >.<

[cindyy]

1st one:

[unparseable or potentially dangerous latex formula] (the 4 hanging out on the right is supposed to be up there in the exponent so it is to the 24th power)

divide both sides by 18000
[unparseable or potentially dangerous latex formula] (same as above)

take each side to the power of [unparseable or potentially dangerous latex formula] to get rid of the exponent on the right side
[unparseable or potentially dangerous latex formula]

subtract 1 from both sides
[unparseable or potentially dangerous latex formula]

multiply each side by 2 to get r alone
[unparseable or potentially dangerous latex formula]

r should be [unparseable or potentially dangerous latex formula] which is [unparseable or potentially dangerous latex formula]

I'm new to this Latex thing so bear with me ..

[BlasianAsian]

Oh god, I forgot you could do that with exponents. Thanks!

[Shawn]

Here is my first solution, sorry for the poor non-latex answers.
27) distance travelled under acceleration: ½*a*t^2+r*t, where a =acceleration, t=time, r=velocity
=(1/2*((85-20)/(35/3600))*(35/3600)^2+20*35/3600=.5104 miles (appartently the answer is in feet?)*5280= 2694.91=2.70x10^3 feet

[BlasianAsian]

Alright, thanks man!

[Shawn]

I can't figure out latex if someone tells me how to use it or a link I will, Google didn't help much.
28) weighted average
.44=(73*.52+.34*160+x)/(73+160+x)
where .44 is desired concentration, 73*.52 and .34*160 current acidic component, 73+160 current total mass and x is "added amount", to solve either do algebra or use an equation solver
=18.1429=18.1
(maybe this will help for pretiness)

[nsguy1350]

http://www.artofproblemsolving.com/Wiki ... aTeX:About for LaTeX help. Make sure you put it all between the [tex] tags which can be found on the very last button on the bar above your post.

[BlasianAsian]

Yeah, I'm having a little trouble reading your posts. LaTeX!

[007math]

[BlasianAsian]

*pumps fist in air* Yes..!

[Shawn]

Here is a shot
37) First get circumference of earth with and without extra (have to know radius is 3960 miles)
[unparseable or potentially dangerous latex formula]
Then just use percent change key correctly (assuming HP)
[unparseable or potentially dangerous latex formula]

[BlasianAsian]

Oh. I didn't know the radius of the earth. Fail. Is that one of those, need to know things?

[Shawn]

40) Triangle and Circle problem formulas
There are differnt ones for right and equalateral (google might help I don't remember those anymore).
There are various rearrangment of the formulas I am posting (google as well).
R=circle larger (outside)
r=circle smaller (inside)
For scalene (or all):
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]

[Shawn]

[BlasianAsian]

Got it. Thx! This is really helpful, I mean it.

[Shawn]

46) 3/4 of a circle on full 48 ft. 1/4 for 48-12 ft. and 48-36 ft. Once there was a problem where it wrapped around another variation is the clothes-line problem. Draw a picture if needed, but these problems are fairly common.
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]

[BlasianAsian]

I drew it, but I since it was kind of like a full circle, but not really, I just found the area of the circle and subtracted the area of the rectangle from it. Evidently, it didn't work...

[Shawn]

47) Fun problem
First scale:
[unparseable or potentially dangerous latex formula]
This gets empty weight.
Then add weight of 5 quarts of water[unparseable or potentially dangerous latex formula](I would use HP conversion keys from the density of water as 1g/ml, but there is some shortcut that I don't remember right now)
[unparseable or potentially dangerous latex formula]

[Shawn]

[BlasianAsian]

K. Thx for the help!

[FabensMath]

[Shawn]

36) For exponential decay:[unparseable or potentially dangerous latex formula]
Model:
[unparseable or potentially dangerous latex formula]
Solve for T(t)=102
t=35.9848, so 1993+35.9848=2028.9848, so year 2028

[Shawn]

26) Walking type problems, develop two rates, 1/13 miles/minute walking 1/7.2 miles/minute running, then divide the time up 10.3-t doing one activity t doing other. Then a simple r*t+r*t=d, where distance is 1 mile.
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]

[Shawn]

27) Goal line to back of end zone=110 yard=330 feet, makes right triangle with 53.33*3=160 feet
[unparseable or potentially dangerous latex formula]