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Radicals/326364: please help me solve this equation ∛(189*t^8 )
1 solutions

Answer 233639 by Fombitz(13828) About Me  on 2010-07-28 08:53:31 (Show Source):
You can put this solution on YOUR website!
Your symbol didn't come through but I'm assuming it's a square root symbol?
sqrt%28189%2At%5E8+%29=3sqrt%2821%29%2Asqrt%28t%5E8%29=0+%2B-+3sqrt%2821%29%2At%5E4


Quadratic_Equations/326200: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 4 ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 2 ft less than the length of the ladder?
1 solutions

Answer 233638 by Fombitz(13828) About Me  on 2010-07-28 08:51:40 (Show Source):
You can put this solution on YOUR website!
The ladder, ground, and wall form a right triangle.
Use the Pythagorean theorem to solve.
A%5E2%2BB%5E2=H%5E2
.
.
.

A=H-4
B=H-2
A%5E2%2BB%5E2=H%5E2
%28H-4%29%5E2%2B%28H-2%29%5E2=H%5E2
H%5E2-8H%2B16%2BH%5E2-4H%2B4=H%5E2
2H%5E2-12H%2B20=H%5E2
H%5E2-12H%2B20=0
+%28H-10%29%28H-2%29=0+
Two solutions:
H-2=0
H=2
Not allowed since A=H-4=-2, can't have a negative length.
.
.
.
H-10=0
H=10
A=10-4=6
B=10-2=8
.
.
.
The ladder is 10 ft long, the base of the ladder is 8 ft from the wall, and the top of the ladder is 6 ft from the ground.


Equations/326209: Please help solve the following:
Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and as dependent or independent.
6x-5y=30
5y-6x=-30
1 solutions

Answer 233636 by Fombitz(13828) About Me  on 2010-07-28 08:43:18 (Show Source):
You can put this solution on YOUR website!
1.6x-5y=30
2.5y-6x=-30
Rewrite the second equation.
-6x%2B5y=-30
Looks very similar to eq. 1,
If you multiply eq. 1 by (-1) you will get eq. 2.
Eq. 1 and eq. 2 are the same line.
You have a dependent system with an infinite number of solutions since every solution of eq. 1 is also a solution of eq. 2.


logarithm/326317: evaluate the expression without using a calculator
9log9 10
thanks again
1 solutions

Answer 233633 by Fombitz(13828) About Me  on 2010-07-28 08:36:58 (Show Source):
You can put this solution on YOUR website!
Is the question? 9log%289%2C%2810%29%29 or do you mean 9log%2810%2C%289%29%29??


test/326314: Solve the equation 4^(7x – 2) = 17^(x + 1). Round your answer to the nearest thousandth.
I cant get the right answer for this..
I know you have to make the equation into 7x-2 log4= x+1 log17 but I'm not sure what to after
1 solutions

Answer 233629 by Fombitz(13828) About Me  on 2010-07-28 08:33:27 (Show Source):
You can put this solution on YOUR website!
4%5E%287x-2%29+=+17%5E%28x+%2B+1%29
7x-2=log%284%2C%2817%5E%28x%2B1%29%29%29
Change bases.
7x-2=log%2817%2C%2817%5E%28x%2B1%29%29%29%2Flog%2817%2C%284%29%29
7x-2=%28x%2B1%29%2Flog%2817%2C%284%29%29
%287x-2%29log%2817%2C%284%29%29=x%2B1}
7%2Alog%2817%2C%284%29%29x-2log%2817%2C%284%29%29=x%2B1
%287%2Alog%2817%2C%284%29%29-1%29x=1%2B2log%2817%2C%284%29%29
highlight%28x=%282log%2817%2C%284%29%29%2B1%29%2F%287%2Alog%2817%2C%284%29%29-1%29%29
x=0.816


logarithm/326295: express as a product
logc(z)^-7
1 solutions

Answer 233627 by Fombitz(13828) About Me  on 2010-07-28 08:25:41 (Show Source):


Probability-and-statistics/326305: One colored marker � red, blue, yellow, or green � is selected and a coin is tossed. Use the counting principle to determine the number of sample points in the sample space.
1 solutions

Answer 233625 by Fombitz(13828) About Me  on 2010-07-28 08:22:56 (Show Source):
You can put this solution on YOUR website!
4 colors:Red, Blue, Yellow, Green
2 coin outcomes:H,T
Total = 4*2=8


Expressions-with-variables/326293: Use the quadratic formula to solve the following equation. (Enter solutions from smallest to largest. If the solutions are complex, enter them from smallest to largest value of the imaginary part.)

27w^2 + 24w+1=0
1 solutions

Answer 233624 by Fombitz(13828) About Me  on 2010-07-28 08:17:50 (Show Source):
You can put this solution on YOUR website!
27w%5E2+%2B+24w%2B1=0
Use the quadratic formula,
w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
w+=+%28-24+%2B-+sqrt%28+24%5E2-4%2A27%2A1+%29%29%2F%282%2A1%29+
w+=+%28-24+%2B-+sqrt%28+576-108%29%29%2F2+
w+=+%28-24+%2B-+sqrt%28+468%29%29%2F2+
w+=+%28-24+%2B-+2sqrt%28+117%29%29%2F2+
w+=+-12+%2B-+sqrt%28+117%29


Mixture_Word_Problems/326223: A radioactive material decays according to the formula A = A0(2)-t. How much of a 8 gram sample will be left in 6 years?
1 solutions

Answer 233588 by Fombitz(13828) About Me  on 2010-07-27 23:14:12 (Show Source):


Expressions-with-variables/326292: Find a quadratic equation that has a solution set of {6, 7}. (Use the least possible coefficients.)
1 solutions

Answer 233586 by Fombitz(13828) About Me  on 2010-07-27 23:12:26 (Show Source):


Linear-equations/326185: A plane makes a trip 5040 km in 7 h, flying with the wind. Returning against the wind , the plane makes the trip in 9 h. What is the speed of the wind?
1 solutions

Answer 233585 by Fombitz(13828) About Me  on 2010-07-27 23:11:20 (Show Source):
You can put this solution on YOUR website!
Let P be the plane speed in still air, W the wind speed.
%28P%2BW%297=5040
1.P%2BW=720
.
.
.
%28P-W%299=5040
2.P-W=560
Add eq. 1 to eq. 2 to eeliminate W.
P%2BW%2BP-W=1280
2P=1280
P=640kph
Then use either equation to solve for W,
640%2BW=720
W=80kph


Linear_Algebra/326239: 3x+11y=2
1 solutions

Answer 233582 by Fombitz(13828) About Me  on 2010-07-27 23:08:08 (Show Source):
You can put this solution on YOUR website!
What's the question?


Polynomials-and-rational-expressions/326291: find all the numbers for which the rational expression is undefined? 1 over 8w plus 1. its in fraction mode.
1 solutions

Answer 233581 by Fombitz(13828) About Me  on 2010-07-27 23:07:06 (Show Source):
You can put this solution on YOUR website!
The function is undefined when the denominator equals zero since division by zero is undefined.
8w%2B1=0
8w=-1
w=-1%2F8


Length-and-distance/326287: Can anyone help me with this problem? I have no idea where to even start?? Any help would really be appreciated!

If 5x° and (7x – 12)° are the measures for vertical angles formed by two intersecting lines, what is the measure of each angle?
1 solutions

Answer 233580 by Fombitz(13828) About Me  on 2010-07-27 23:06:02 (Show Source):
You can put this solution on YOUR website!
5x%2B7x-12=180
12x=192
x=16
First angle: 5x=80 degrees
Second angle: 180-80=100 degrees


Expressions-with-variables/326288: Use factoring to solve the equation.

5x^2+7x=0
1 solutions

Answer 233578 by Fombitz(13828) About Me  on 2010-07-27 23:04:03 (Show Source):
You can put this solution on YOUR website!
5x%5E2%2B7x=0
x%285x%2B7%29=0
Two solutions:
x=0
.
.
.
5x%2B7=0
5x=-7
x=-7%2F5


Expressions-with-variables/326289: Use factoring to solve the equation.
2y^2-50=0
1 solutions

Answer 233576 by Fombitz(13828) About Me  on 2010-07-27 23:02:36 (Show Source):


Sequences-and-series/326179: Please help me find the 20th term of this arithmetic sequence
-t, -t+5, -t+10, -t+15
1 solutions

Answer 233461 by Fombitz(13828) About Me  on 2010-07-27 16:31:38 (Show Source):


Linear-equations/326164: what is the X-intercept of X-intercept of 5/7x-2y=4??
1 solutions

Answer 233459 by Fombitz(13828) About Me  on 2010-07-27 16:30:19 (Show Source):
You can put this solution on YOUR website!
%285%2F7%29x-2y=4
To find the x-intercept, set y=0, solve for x.
%285%2F7%29x-2%280%29=4
%285%2F7%29x=4
highlight%28x=28%2F5%29
.
.
.
(28/5,0)


Sequences-and-series/326170: Please help me write the following sum without using sigma notation
3
E- sigma notation (3 cube root k)
k=1
1 solutions

Answer 233457 by Fombitz(13828) About Me  on 2010-07-27 16:28:19 (Show Source):
You can put this solution on YOUR website!
Do you mean 3*cube root(k) or just cube root of k?
sum%28root%283%2Ck%29%2Ck=1%2C3%29=1%2Broot%283%2C2%29%2Broot%283%2C3%29 or
sum%283%2Aroot%283%2Ck%29%2Ck=1%2C3%29=3%2A1%2B3%2Aroot%283%2C2%29%2B3%2Aroot%283%2C3%29


Graphs/326173: |x-1| + |x-3| 1 solutions

Answer 233455 by Fombitz(13828) About Me  on 2010-07-27 16:25:52 (Show Source):
You can put this solution on YOUR website!
The graph of the left hand side is in red.
The graph of the right hand side is in green.
You can pick out the region where the left hand side is less than or equal to the right hand side.
.
.
.


Sequences-and-series/326174: Please help me find the third term of this sequence
an- 6n+5
1 solutions

Answer 233454 by Fombitz(13828) About Me  on 2010-07-27 16:23:13 (Show Source):
You can put this solution on YOUR website!
I think you mean an=6n%2B5
n=1, a1=6%281%29%2B5=6%2B5=11
n=2, a2=6%282%29%2B5=12%2B5=17
n=3, a3=6%283%29%2B5=18%2B5=23


Linear-equations/326096: in each case determine whether the lines are parallel or perpendicular, or neither.
y=x+7
y=-x+2
1 solutions

Answer 233451 by Fombitz(13828) About Me  on 2010-07-27 16:05:46 (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes.
Perpendicular lines have slopes that are negative reciprocals.
m1%2Am2=-1
.
.
.
m1=1
m2=-1
They are not parallel.
m1%2Am2=1%28-1%29=-1
They are perpendicular.
.
.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%2B7%2C-x%2B2%29


Polynomials-and-rational-expressions/326160: Please Help! If two numbers have a sum of 9, then what polynomial represents their product?
1 solutions

Answer 233450 by Fombitz(13828) About Me  on 2010-07-27 16:03:52 (Show Source):
You can put this solution on YOUR website!
Let the two numbers be A and B.
A%2BB=9
B=9-A
Then their product is
P=AB=A%289-A%29=9A-A%5E2


Radicals/326158: solve for P:

T=(VP/R)
1 solutions

Answer 233448 by Fombitz(13828) About Me  on 2010-07-27 16:02:26 (Show Source):


Sequences-and-series/326095: A partial sum of an arithmetic sequence is given. Can you please help me find the sum?
5+10+15+...+75
1 solutions

Answer 233447 by Fombitz(13828) About Me  on 2010-07-27 16:01:46 (Show Source):


logarithm/326159: find aproximation
ln 0.000911
and
10^2.4154
1 solutions

Answer 233446 by Fombitz(13828) About Me  on 2010-07-27 15:58:23 (Show Source):


Quadratic_Equations/326123: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?

1 solutions

Answer 233444 by Fombitz(13828) About Me  on 2010-07-27 15:57:14 (Show Source):
You can put this solution on YOUR website!
Let X be the number of ounces of 100% gold.
100X%2B1%285%29=6%28100%2BX%29
100X%2B5=600%2B6X
94X=595
X=595%2F94=6.33 ounces


Probability-and-statistics/326136: A bag contains 12 marbles, one marble is drawn. The probability of drawing a blue is 1/3 and the probability of drawing a red or a blue is 1/2. How many of the marbles are red
1 solutions

Answer 233443 by Fombitz(13828) About Me  on 2010-07-27 15:54:58 (Show Source):
You can put this solution on YOUR website!
+P%28B%29=1%2F3=B%2F12+
+B=4
4 blue marbles
.
.
.
+P%28B+or+R%29=P%28B%29%2BP%28R%29=1%2F2
1%2F3%2BP%28R%29=1%2F2
2%2F6%2BP%28R%29=3%2F6
P%28R%29=1%2F6
R%2F12=1%2F6
R=2
2 red marbles


Probability-and-statistics/326140: A die is rolled. find the odds for rolling a 5 or an even number
1 solutions

Answer 233441 by Fombitz(13828) About Me  on 2010-07-27 15:52:18 (Show Source):
You can put this solution on YOUR website!
There are six possible outcomes from rolling a die (1,2,3,4,5,6).
One of them is a 5.
Three of them are even.
P(5)=1/6
P(even)=3/6=1/2
P(5 or even)=1/6+3/6=4/6=2/3


Linear_Algebra/326144: How would you simplify this?
(x^-7y^11z^14)^-2
1 solutions

Answer 233440 by Fombitz(13828) About Me  on 2010-07-27 15:49:48 (Show Source):


Probability-and-statistics/326154: License plates in a particular state display 2 letters followed by 4 numbers. How many different license plates can be manufactured? (repetitions are allowed)
1 solutions

Answer 233439 by Fombitz(13828) About Me  on 2010-07-27 15:48:25 (Show Source):
You can put this solution on YOUR website!
There are 26 letters and 10 digits and 6 positions to fill.
N=26%2A26%2A10%2A10%2A10%2A10=6760000