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Linear-systems/298760: Need help in solving this equation by addition
2y + z = 4
x -3y + 2z =9
-y =3
1 solutions

Answer 214814 by Alan3354(30993) About Me  on 2010-04-30 11:13:37 (Show Source):
You can put this solution on YOUR website!
2y + z = 4
x -3y + 2z =9
-y =3
--------------
y = -3
------
2y + z = 4
-6 + z = 4 Add 6 to both sides, that's addition
z = 10
---------
x +9 + 20 = 9
x = -20
-------


logarithm/298731: Solve
5^x=6^x-1
1 solutions

Answer 214803 by Alan3354(30993) About Me  on 2010-04-30 09:14:40 (Show Source):
You can put this solution on YOUR website!
5%5Ex=6%5E%28x-1%29
x*log(5) = (x-1)*log(6) = x*log(6) - log(6)
x*log(5) - x*log(6) = -log(6)
x*(log(6) - log(5)) = log(6)
x*log(6/5) = log(6)
x = log(6)/log(6/5)
x =~ 9.827469


logarithm/298732: Solve
3^2x+1 = 27

1 solutions

Answer 214802 by Alan3354(30993) About Me  on 2010-04-30 09:11:09 (Show Source):
You can put this solution on YOUR website!
3%5E%282x%2B1%29+=+27
27+=+3%5E3
2x+1 = 3
x = 2


Graphs/298736: HOW DO YOU PUT Y=3 INTO SLOPE INTERCEPT FORM?

1 solutions

Answer 214801 by Alan3354(30993) About Me  on 2010-04-30 09:06:38 (Show Source):
You can put this solution on YOUR website!
That is slope-intercept form
y = 0x + 3
y = 3
The slope is 0, parallel to the x-axis
The y-int is 3.


logarithm/298644: Please help me solve this equation its an Algebra II Logarithm, +2%5En=%283%5E%28n-2%29%29%5E%281%2F2%29+
1 solutions

Answer 214762 by Alan3354(30993) About Me  on 2010-04-29 22:19:36 (Show Source):
You can put this solution on YOUR website!
+2%5En=%283%5E%28n-2%29%29%5E%281%2F2%29+
2%5E2n+=+3%5E%28n-2%29
2n*log(2) = (n-2)*log(3)
2n*log(2) = n*log(3) - 2log(3)
2nlog(2) - nlog(3) = -log(9)
n*(log(3) - log(4)) = log(9)
n = log(9)/(log(3) - log(4))
n =~ -7.63768


Geometry_proofs/298622: write the equation of the circles below, A) center (0,0) radius 12. and B) (-2,6) with radius 6 square rooted. like the v with line on top over the number
1 solutions

Answer 214756 by Alan3354(30993) About Me  on 2010-04-29 21:26:31 (Show Source):
You can put this solution on YOUR website!
write the equation of the circles below,
A) center (0,0) radius 12
x%5E2+%2B+y%5E2+=+144
------------------
and B) (-2,6) with radius sqrt(6)
%28x%2B2%29%5E2+%2B+%28y-6%29%5E2+=+6


logarithm/298623: I need to solve " Log base 11 of x is 1/3 ". So far I've gotten 11%5E0.33=x, although my book says the answer is 5. I don't know how they came to this conclusion and wish to have it clarified. Please.
1 solutions

Answer 214755 by Alan3354(30993) About Me  on 2010-04-29 21:23:58 (Show Source):
You can put this solution on YOUR website!
I need to solve " Log base 11 of x is 1/3 ".
log%2811%2Cx%29+=+1%2F3
x+=+11%5E%281%2F3%29
x =~ 2.22398
--------------
It's not 5. Sometimes the book is wrong.


logarithm/298591: Solve
5^=6^x-1
1 solutions

Answer 214753 by Alan3354(30993) About Me  on 2010-04-29 21:20:27 (Show Source):
You can put this solution on YOUR website!
What's the exponent of 5?


Angles/298556: An ice cube that measures 2.3 centimeters on each side contains how many cubic centimeters of ice? Include correct units with your solution.
1 solutions

Answer 214736 by Alan3354(30993) About Me  on 2010-04-29 20:15:17 (Show Source):
You can put this solution on YOUR website!
It's the product of the sides.
= %282.3%5E3%29+cm%5E3
= 12.167 cc or 12.167 milliliters


Travel_Word_Problems/298580: A train leaves Watsonville at noon traveling north at 44 mph. One hour later, another train, going 52 mph, travels north on a parallel track. How many hours will the second train travel before it overtakes the first train?
1 solutions

Answer 214735 by Alan3354(30993) About Me  on 2010-04-29 20:13:07 (Show Source):
You can put this solution on YOUR website!
The 1st train is 44 miles away.
The 2nd train gains on it at 8 mph
44/8 = 5.5 hours


Polynomials-and-rational-expressions/298573: An ant marches from point A to point B on
the cylindrical garbage can shown in the accompanying
figure. The can is 1 foot in diameter and 2 feet high. If the
ant makes two complete revolutions of the can in a perfect
spiral, then exactly how far did he travel?





1 solutions

Answer 214732 by Alan3354(30993) About Me  on 2010-04-29 20:10:53 (Show Source):
You can put this solution on YOUR website!
No figure is shown.


Polynomials-and-rational-expressions/298574: An ant marches from point A to point B on
the cylindrical garbage can shown in the accompanying
figure. The can is 1 foot in diameter and 2 feet high. If the
ant makes two complete revolutions of the can in a perfect
spiral, then exactly how far did he travel?





1 solutions

Answer 214730 by Alan3354(30993) About Me  on 2010-04-29 20:08:47 (Show Source):
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No figure is shown.


Miscellaneous_Word_Problems/298566: An object's altitude, in meters, is given by the polynomial h + vt - 9.8t2, where h is the height in meters from which the launch occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 150 meters tall. If the initial speed is 35 meters per second, how high above the ground will the pebble be after 3 seconds? Round results to the nearest tenth of a meter.

1 solutions

Answer 214723 by Alan3354(30993) About Me  on 2010-04-29 20:03:11 (Show Source):
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An object's altitude, in meters, is given by the polynomial h + vt - 9.8t2, where h is the height in meters from which the launch occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 150 meters tall. If the initial speed is 35 meters per second, how high above the ground will the pebble be after 3 seconds? Round results to the nearest tenth of a meter.
-------------------
A pebble is not a rocket.
h%28t%29+=+-9.8t%5E2+%2B+vt+%2B+h
h(3) = -9.8*9 + 35*3 + 150
h(3) = 166.8 meters (not rounded)


Polygons/298509: What is the area of a 15-gon with a perimeter of 90ft?

1 solutions

Answer 214698 by Alan3354(30993) About Me  on 2010-04-29 18:29:19 (Show Source):
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What is the area of a 15-gon with a perimeter of 90ft?
----------
s = 90/15 = 6 (length of each side)
The area of any regular polygon with n sides of length s is:
Area+=+ns%5E2%2Acot%28180%2Fn%29%2F4
A+=+15%2A36%2Acot%2812%29%2F4
A = 135/tan(12) =~ 635.125 sq ft



Surface-area/298461: i just need to surface area of a clyinder
radius=9m
height:22.5m

1 solutions

Answer 214689 by Alan3354(30993) About Me  on 2010-04-29 17:56:29 (Show Source):
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The area of the top is pi%2Ar%5E2+=+81pi sq meters
Same for the top.
The rest of it is the circumference * height
= 2*pi*r*h = 405pi sq meters


Rational-functions/298407: 2^2 / 2^4
It's not .25, that's not correct. I've tried 2, 2^2 and that isn't right either.
1 solutions

Answer 214663 by Alan3354(30993) About Me  on 2010-04-29 16:01:17 (Show Source):
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2%5E2+%2F+2%5E4+
= 4/16
= 1/4
------------
2%5E%282%2F%282%5E4%29%29
= 2%5E%281%2F8%29
=~ 1.0905077


Distributive-associative-commutative-properties/298381: I need help solving this question, 3(x+y)+ a( x+y)
1 solutions

Answer 214657 by Alan3354(30993) About Me  on 2010-04-29 14:55:40 (Show Source):
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Solve for what?


Quadratic-relations-and-conic-sections/298346: If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n) _____.
A. hyperbola
B. circle
C. ellipse
D. parabola
1 solutions

Answer 214650 by Alan3354(30993) About Me  on 2010-04-29 13:53:38 (Show Source):
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It's a parabola. If the plane is parallel to the axis, it's a hyperbola.


Expressions-with-variables/298276: how do you complete this I am stuck 10y^2+11y-6 I see where you get the 10 y and the 6 from but the 11y has got me stuck?
1 solutions

Answer 214625 by Alan3354(30993) About Me  on 2010-04-29 10:28:43 (Show Source):
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Complete it in what sense?


logarithm/298271: Evaluate
10^log5 (log 5 is the exponent)

1 solutions

Answer 214624 by Alan3354(30993) About Me  on 2010-04-29 10:27:40 (Show Source):
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= 5
-------
10%5Elog%28x%29+=+x The definition of logs


Radicals/298257: Need help!
+sqrt%282x%29%2B11=x%2B7+
I've gotten this far.. +x%5E2-8x%2B16=0+ i factored and i got (x-4) (x-4).. but these are non of the answers in my practice test, maybe i didnt something wrong along the way,if anyone could help please.
1 solutions

Answer 214619 by Alan3354(30993) About Me  on 2010-04-29 09:52:11 (Show Source):


Graphs/298252: Exactly how many cubic centimeters of ice cream can an ice cream cone hold (within the cone) if its height is 6.4 centimeters and the radius of its base is 1.5 centimeters? Include correct units with your solution. Use "pi" for π.

1 solutions

Answer 214617 by Alan3354(30993) About Me  on 2010-04-29 09:34:41 (Show Source):
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Volume+=+pi%2Ar%5E2%2Ah%2F3
Plug in r and h, figure it out.


Graphs/298231: Any help would be greatly appreciated, I am having difficulties figuring this out and graphing. I am not good at doing graphs or figuring them out. Please help.
Find the equations for the following lines and then graph them using any graphing utility
Parallel to 6x - 4y + 12 = 0, and passing through the line x = 3
Eric
1 solutions

Answer 214607 by Alan3354(30993) About Me  on 2010-04-29 08:52:10 (Show Source):
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"passing thru the line" makes no sense.


Exponential-and-logarithmic-functions/298210: Is -7X10^11 in scientific notation? If not, please put in scientific notation.
1 solutions

Answer 214602 by Alan3354(30993) About Me  on 2010-04-29 08:29:29 (Show Source):


Exponential-and-logarithmic-functions/298209: Is -7X10^11 in scientific notation? If not, please put in scientific notation.
1 solutions

Answer 214597 by Alan3354(30993) About Me  on 2010-04-29 08:19:58 (Show Source):
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It is close.
-7.0*10^11 might be better.
-7.0E11 is more convenient, and commonly used.


Square-cubic-other-roots/298110: (3+2i) + (6-4i)
1 solutions

Answer 214536 by Alan3354(30993) About Me  on 2010-04-28 21:18:56 (Show Source):
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(3+2i) + (6-4i)
---------------
= 9-2i


Radicals/298091: I Need Help With This Problem
+%28X-25%29%2F%28sqrt%28X%29-5%29+
What i've Gotten so far is.. +%28-25X%2Asqrt%28X%29%2B5X-125%29%2F%28X-25%29+
1 solutions

Answer 214529 by Alan3354(30993) About Me  on 2010-04-28 20:48:42 (Show Source):


Numeric_Fractions/297872: what is the some of
6 1/6 + 2 1/3
1 solutions

Answer 214528 by Alan3354(30993) About Me  on 2010-04-28 20:48:15 (Show Source):
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what is the some of
6 1/6 + 2 1/3
-------------
= 6 1/6 + 2 2/6
= 8 3/6
= 8 1/2
---------
PS It's the sum, not the some.


Radicals/298086: I Need Help With This Problem
+%28X-25%29%2F%28sqrt%28X%29-5%29+
What i've Gotten so far is.. +%28-25X+sqrt%28X%29%2B5X-125%29%2F%28X-25%29+
1 solutions

Answer 214526 by Alan3354(30993) About Me  on 2010-04-28 20:39:01 (Show Source):


Matrices-and-determiminant/298032: I have no clue how to do matrices and I do not have a calculator in order to compute the equations any help would be great.

Solve any way you can:
2x – y + z = 8
x + 2y + z = -3
x - 2y – z = 7

Eric
1 solutions

Answer 214514 by Alan3354(30993) About Me  on 2010-04-28 19:46:26 (Show Source):
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2x – y + z = 8
x + 2y + z = -3
x - 2y – z = 7
------------------
x + 2y + z = -3
x - 2y – z = 7
---------------- Add
2x = 4
x = 2
------
-y + z = 4 eqn 1
-2y- z = 5 eqn 3
---------------- Add
-3y = 9
y = -3
--------
2 -2*(-3) - z = 7
8 - z = 7
z = 1
+++++++++++++++++++++
You mentioned matrices, but I used elimination. The coefficients were too good to pass up.


Polynomials-and-rational-expressions/298042: (2x+3)^1.8=250
Solve for x
4 decimal places.
I did not understand the answer I got.
1 solutions

Answer 214510 by Alan3354(30993) About Me  on 2010-04-28 19:33:19 (Show Source):
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(2x+3)^1.8=250
---------------
If you don't understand it, how did you get it?
(2x+3)^1.8=250
Take the "1.8 root" of both sides.
The 1.8 root of 250 = 250%5E%281%2F1.8%29
2x+3 = 21.48764863
x =~ 9.2438