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Trigonometry-basics/388142: h(x)=2x^4-7x^3+4x^2+7x-6
1 solutions

Answer 274508 by Fombitz(13828) About Me  on 2010-12-21 07:45:19 (Show Source):
You can put this solution on YOUR website!
What's the question?


Linear-systems/388139: What are the solutions for x,y, and z in the following equations:
x-y+9z=-27
2x-4y-z=-1
3x=6y-3z=27

1 solutions

Answer 274507 by Fombitz(13828) About Me  on 2010-12-21 07:44:40 (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C1%2C-1%2C9%2C2%2C-4%2C-1%2C3%2C6%2C-3%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C-27%2C-1%2C27%29%29
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.
[A][x]=[b]
[x]=[A]inv[b]
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.
Using matrix inversion,
[x]=%28matrix%283%2C1%2C2%2C2%2C-3%29%29


Functions/388130: Can you please help me solve the formula for specified variables?
A: B=2 over 5(A-11)

Thank you
1 solutions

Answer 274506 by Fombitz(13828) About Me  on 2010-12-21 07:42:15 (Show Source):
You can put this solution on YOUR website!
+B=2%2F%285%28A-11%29%29
.
.
5B%28A-11%29=2
.
.
5BA-55B=2
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5BA=2%2B55B
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.
highlight%28A=%2855B%2B2%29%2F5B%29


Linear_Equations_And_Systems_Word_Problems/388214: Solve the system of linear equations using the Elimination Method.
5x-3y=6
7x+2y=-35
1 solutions

Answer 274505 by Fombitz(13828) About Me  on 2010-12-21 07:36:10 (Show Source):
You can put this solution on YOUR website!
1.5x-3y=6
2.7x%2B2y=-35
Muliply eq. 1 be 2 and eq. 2 by 3 and add them.
10x-6y%2B21x%2B6y=12-105
31x=-93
highlight%28x=-3%29
Then use either equation to solve for y.
-15-3y=6
-3y=21
highlight%28y=-7%29


Probability-and-statistics/388225: The probability of machine failure in one working day is equal to 0.01. What is the probability that the machine will work without failure for 5 days in a row.
1 solutions

Answer 274504 by Fombitz(13828) About Me  on 2010-12-21 07:33:58 (Show Source):


Functions/387819: Find the value of the constants A, B, C and D in the following identity:
+x%5E3-6x%5E2%2B11x%2Bx=%28x-2%29%28Ax%5E2%2BBx%2BC%29%2B+D+.
1 solutions

Answer 274394 by Fombitz(13828) About Me  on 2010-12-20 14:47:05 (Show Source):
You can put this solution on YOUR website!

+x%5E3-6x%5E2%2B11x%2Bx+=%28Ax%5E3%2BBx%5E2%2BCx%29%2B%28-2Ax%5E2-2Bx-2C%29%2BD
+x%5E3-6x%5E2%2B11x%2Bx+=Ax%5E3%2B%28B-2A%29x%5E2%2B%28C-2B%29x%2B%28D-2C%29+
Compare terms,
highlight%28+A=1%29
Then,
B-2=-6
highlight%28B=-4%29
Then,
C-2%28-4%29=11
C%2B8=11
highlight%28C=3%29
Then,
D-6=1
highlight%28D=7%29


Equations/387790: use the equations from part a and part b as a system of equation, use the substitution method to determine how many of each floor plan is avaialble
x + y = 56
x + 3y = 56
describe steps
1 solutions

Answer 274391 by Fombitz(13828) About Me  on 2010-12-20 14:41:03 (Show Source):
You can put this solution on YOUR website!
1.x%2By=56
2.x%2B3y=56
You can re-write eq. 2,
x%2By%2B2y=56
Substitute,
%2856%29%2B2y=56
2y=0
highlight%28y=0%29
Then from eq. 1,
x%2B0=56
highlight%28x=56%29


Trigonometry-basics/388061: A plane flies 500 kilometers with a bearing of N 44 degrees W from B to C. The plane then flies 720 KM from C to A. Find the bearing of the flight from C to A.
Here is a picture of the diagram
http://i763.photobucket.com/albums/xx275/trinhkieu888/9-1.jpg

thanks for the help!
1 solutions

Answer 274387 by Fombitz(13828) About Me  on 2010-12-20 14:19:00 (Show Source):
You can put this solution on YOUR website!
Convert both displacements to x,y coordinates.
Positive x is East.
Positive y is North.
Angle is measured CCW from x-axis.
.
.
.
D%5BBC%5D=(500%2Acos%2890%2B44%29,500%2Asin%2890%2B44%29)
D%5BCA%5D=(720%2Acos%28180%2Bbeta%29,720%2Asin%28180%2Bbeta%29)
where
720%2Asin%28beta%29=500%2Asin%2846%29
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.
.

.
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.
720%2Asin%28beta%29=500%2Asin%2846%29
sin%28beta%29=%28500%2F720%29%2Asin%2846%29
sin%28beta%29=0.4995
beta=30
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.
.
D%5BBC%5D=(500%2Acos%28134%29,500%2Asin%28134%29)
D%5BBC%5D=(-347.3,359.7)
.
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D%5BCA%5D=(720%2Acos%28210%29,720%2Asin%28210%29)
D%5BCA%5D=(-623.5,-360)
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D=D%5BBC%5D%2BD%5BCA%5D
D=(-347-623,360-360)
D=(-970,0)
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.
The plane is 970 km from the starting point due west.


Miscellaneous_Word_Problems/387877: Estimate each of the following indicating if the actual answer is greater than or less than the estimate:
A) 29/15 + 198/199
B) 5 12/13 + 2 9/10 + 19/20
C) 10 4/9 - 5 1/2 + 99/100
1 solutions

Answer 274384 by Fombitz(13828) About Me  on 2010-12-20 13:58:58 (Show Source):


Money_Word_Problems/388038: A man received 7 per cent interest on a loan of $800 for 1 year. How much interest did he receive?
1 solutions

Answer 274382 by Fombitz(13828) About Me  on 2010-12-20 13:53:54 (Show Source):
You can put this solution on YOUR website!
I=PRT=800%280.07%29%281%29=56
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He received $56.


Rational-functions/388058: -2x -8/x^2 +2x-8
1 solutions

Answer 274381 by Fombitz(13828) About Me  on 2010-12-20 13:52:23 (Show Source):


Miscellaneous_Word_Problems/388059: Could someone help me. I do not understand how to work this out. Please help!
Jina drove 345 miles using 13 gallons of gas. At this rate, how many gallons of gas would she need to drive 276 miles?
Thank you so much!
1 solutions

Answer 274380 by Fombitz(13828) About Me  on 2010-12-20 13:51:15 (Show Source):
You can put this solution on YOUR website!
Set up a proportion.
345%2F13=276%2FX
345X=13%2A276
X=13%2A%28276%2F345%29


Graphs/388060: Find the x-intercept of the graph of the equation: 4x + y = 3

1 solutions

Answer 274378 by Fombitz(13828) About Me  on 2010-12-20 13:49:42 (Show Source):
You can put this solution on YOUR website!
Set y=0 solve for x.
4x%2By=3
4x%2B0=3
x=3%2F4
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.
(3%2F4,0)


Numeric_Fractions/387852: solve y+1=-6/7(x+7)
1 solutions

Answer 274377 by Fombitz(13828) About Me  on 2010-12-20 13:48:19 (Show Source):
You can put this solution on YOUR website!
Solve how??
It's the equation of a line in point-slope form.
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.



Probability-and-statistics/388055: A restaurant owner has researched his daily sales over the past year and found the mean daily sales to be $850, with a standard deviation of $325. Based upon the restaurant owner's analysis:
a. what percent of daily sales are less than $600?
b. what percent of daily sales are between $700 and $1000?
c. what percent of sales are between $1000 and $1200
d. what amount of sales separates the top 10 percent from the lower 90 percent?

Any hlep will be greatly appreciated... I will do the $5 donation if this can be completed by today at 7CST. Thank you in advance
1 solutions

Answer 274375 by Fombitz(13828) About Me  on 2010-12-20 13:45:06 (Show Source):
You can put this solution on YOUR website!
Find the z scores.
z=%28x-mu%29%2Fsigma
a) z=%28600-850%29%2F325=-0.7692
Now find P%28x%3C600%29=P%28-0.7692%29
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.
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b) z%5B1%5D=%28700-850%29%2F325
z%5B2%5D=%281000-850%29%2F325
P%28700%3Cx%3C1000%29=P%28z%5B2%5D%29-P%28z%5B1%5D%29
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c) z%5B1%5D=%281000-850%29%2F325
z%5B2%5D=%281200-850%29%2F325
P%281000%3Cx%3C1200%29=P%28z%5B2%5D%29-P%28z%5B1%5D%29.
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d) P%28z%29=0.90
Working backwards, find the z score that give P%28z%29=0.90
z=1.281552
Now find the x value that gives you that z score.
z=%28x-850%29%2F325=1.281552
Now solve for x.


Radicals/387787: find the inverse.
f(x)=sqrt(x-7)
1 solutions

Answer 274374 by Fombitz(13828) About Me  on 2010-12-20 13:36:51 (Show Source):
You can put this solution on YOUR website!
y=sqrt%28x-7%29
Interchange x and y and solve for y.
x=sqrt%28y-7%29
x%5E2=y-7
y=x%5E2%2B7
highlight%28f%5E%28-1%29%28x%29=x%5E2%2B7%29


Radicals/387785: f(x)=sqrt(x-3)
1 solutions

Answer 274373 by Fombitz(13828) About Me  on 2010-12-20 13:35:40 (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-2%2C14%2C-8%2C8%2C0%2Csqrt%28x-3%29%29
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What's the question?


Graphs/387757: graph the inequality on a plane y>-2x+3
1 solutions

Answer 274371 by Fombitz(13828) About Me  on 2010-12-20 13:34:18 (Show Source):
You can put this solution on YOUR website!

First graph the line,y=-2x%2B3
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.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B3%29
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Now choose a point not on the line.
(0,0) is a convenient choice.
Test the inequality.
If the inequality is satisfied, shade the region containing (0,0).
If not, shade the region that does not contain (0,0).
y%3E-2x%2B3
0%3E-2%280%29%2B3
0%3E3
False, shade the region not containing (0,0)
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.
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3E-2x%2B3:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y%3E-2x%2B3+%29



Polynomials-and-rational-expressions/388045: Solve the following equation for w:
1/w + 7 = -4
1 solutions

Answer 274369 by Fombitz(13828) About Me  on 2010-12-20 13:25:16 (Show Source):


Circles/388036: find the radius of the circle by using this equation: 3x^2+3y^2+42x+42y+186=0.
1 solutions

Answer 274351 by Fombitz(13828) About Me  on 2010-12-20 11:05:25 (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
3x%5E2%2B3y%5E2%2B42x%2B42y%2B186=0
x%5E2%2B14x%2By%5E2%2B14x%2B62=0
%28x%5E2%2B14x%2B49%29%2B%28y%5E2%2B14y%2B49%29%2B62=49%2B49
%28x%2B7%29%5E2%2B%28y%2B7%29%5E2=98-62
%28x%2B7%29%5E2%2B%28y%2B7%29%5E2=36
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R=sqrt%2836%29=highlight%286%29


Points-lines-and-rays/387783: Determine whether WX and YZ are parallel, perpendicular , or neither
W(4,3) X(7,-1) Y (5,5) Z(7,3)
1 solutions

Answer 274350 by Fombitz(13828) About Me  on 2010-12-20 11:02:57 (Show Source):
You can put this solution on YOUR website!
Easiest way is to draw them out.
Now look at the slope of the two lines.
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.



Polynomials-and-rational-expressions/387746: Solve by adding and simplifying: 2v/v^2-1+v/v-1
1 solutions

Answer 274349 by Fombitz(13828) About Me  on 2010-12-20 10:58:10 (Show Source):


Rectangles/388028: A rectangle has a perimeter of 120 feet. The width is 3 times the length. What is the length of the rectangle?
1 solutions

Answer 274348 by Fombitz(13828) About Me  on 2010-12-20 10:54:46 (Show Source):
You can put this solution on YOUR website!
P=2L%2B2W=120
L%2BW=60
Then,
W=3L
Substitute,
L%2B3L=60
4L=60
highlight%28L=15%29ft
Then,
W=3%2815%29
highlight%28W=45%29ft


Rectangles/388035: if 2/4 of a rectangle is 120 what is the other to angles


thanks :)XD

1 solutions

Answer 274347 by Fombitz(13828) About Me  on 2010-12-20 10:53:02 (Show Source):
You can put this solution on YOUR website!
What does "2/4" mean?


Circles/388034: Find the center of the circle using these three points: (-14,-1),(-8,5),(-2,-1).
1 solutions

Answer 274346 by Fombitz(13828) About Me  on 2010-12-20 10:52:15 (Show Source):


testmodule/388033: A box whose weight is 182kg is drawn with constant speed 21m along a horizontal concrete floor. the kinetic friction between the box and the floor is 0.58.
Calculate the work done when the box is drawn with horizontal force.
( g = 9.81 m/s^2 )
1 solutions

Answer 274345 by Fombitz(13828) About Me  on 2010-12-20 10:48:54 (Show Source):
You can put this solution on YOUR website!
W=Fd
Calculate the friction force,
F%5Bf%5D=mu%2AN=mu%2Amg
F%5Bf%5D=0.58%2A%28182%29%289.8%29
F%5Bf%5D=1034.5Newtons
Then
W=F%5Bf%5D%2Ad
W=1034.5%2A21
W=21724 Joules


Age_Word_Problems/388031: Four years ago, Lisa was twice as old as John. Four years from now, John will be three quarters of Lisa's age. How old is Lisa Now?

1 solutions

Answer 274344 by Fombitz(13828) About Me  on 2010-12-20 10:45:26 (Show Source):
You can put this solution on YOUR website!
"Four years ago, Lisa was twice as old as John"
L-4=2%28J-4%29
L-4=2J-8
1.L=2J-4
.
.
.
"Four years from now, John will be three quarters of Lisa's age."
J%2B4=%283%2F4%29%28L%2B4%29
4%28J%2B4%29=3%28L%2B4%29
4J%2B16=3L%2B12
2.4J=3L-4
Substitute from eq. 1 into eq. 2,
4J=3%282J-4%29-4
4J=6J-12-4
-2J=-16
highlight%28J=8%29
Then from eq. 1,
L=16-4
highlight%28L=12%29
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Right now, Lisa is 12 and John is 8.


Circles/388032: Find the center of a circle using this equation x^2+y^2-10x-10y+34=0.
1 solutions

Answer 274342 by Fombitz(13828) About Me  on 2010-12-20 10:41:16 (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
x%5E2%2By%5E2-10x-10y%2B34=0
%28x%5E2-10x%29%2B%28y%5E2-10y%29%2B34=0
%28x%5E2-10x%2B25%29%2B%28y%5E2-10y%2B25%29%2B34=25%2B25
%28x-5%29%5E2%2B%28y-5%29%5E2=50-34
%28x-5%29%5E2%2B%28y-5%29%5E2=16
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The center of this circle is (5,5)


Miscellaneous_Word_Problems/388014: A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria.
How long will it take for the number of bacteria to reach 368,640?
1 solutions

Answer 274341 by Fombitz(13828) About Me  on 2010-12-20 10:39:26 (Show Source):
You can put this solution on YOUR website!
368640=90%2A2%5E%28kt%29
where
180=90%2A2%5E%28k%2830%29%29
2=2%5E%2830k%29
30k=1
k=1%2F30
So then,
2%5E%28t%2F30%29=4096
2%5E%28t%2F30%29=2%5E12
t%2F30=12
highlight%28t=360%29minutes


test/387975: X sqaured + 11 x to the 6th + 18x to the 5th
1 solutions

Answer 274340 by Fombitz(13828) About Me  on 2010-12-20 10:34:45 (Show Source):
You can put this solution on YOUR website!
x%5E2%2B11x%5E6%2B18x%5E5
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What's the question??


test/388023: solve x+y=13 and x*y=40.find x and y
1 solutions

Answer 274339 by Fombitz(13828) About Me  on 2010-12-20 10:33:51 (Show Source):
You can put this solution on YOUR website!
1.x%2By=13
2.xy=40
From eq. 1,
x=13-y
Substitute into eq. 2,
%2813-y%29y=40
13y-y%5E2=40
y%5E2-13y%2B40=0
%28y-5%29%28y-8%29=0
Two solutions:
y-5=0
y=5
Then from eq. 2,
x%285%29=40
x=8
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y-8=0
y=8
x%288%29=40
x=5
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