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Numeric_Fractions/551227: on negative number factions (eg. -7x) what do you do?
1 solutions

Answer 359558 by Alan3354(30983) About Me  on 2011-12-31 11:41:45 (Show Source):
You can put this solution on YOUR website!
-7x is not a fraction.


Linear-equations/551165:
slope=m= y2-y1=55.9-59.5
x2-x1=1984-1964
m=-3.6= -0.18
20
y-intercept =b=+61
Can someone explain the steps to find +61 .I course understand all that is needed for finding the line of best fit. I just don't know where b=+61 comes into play.

1 solutions

Answer 359557 by Alan3354(30983) About Me  on 2011-12-31 11:40:14 (Show Source):
You can put this solution on YOUR website!

slope=m= y2-y1=55.9-59.5
x2-x1=1984-1964
m=-3.6= -0.18
20
y-intercept =b=+61
Can someone explain the steps to find +61 .I course understand all that is needed for finding the line of best fit. I just don't know where b=+61 comes into play.
--------------
No idea. You typed it.


Polynomials-and-rational-expressions/551228: Evaluate the polynomial for x=3 when x=3, 2x^2-3x+5=
1 solutions

Answer 359556 by Alan3354(30983) About Me  on 2011-12-31 11:38:27 (Show Source):
You can put this solution on YOUR website!
2x^2-3x+5
-----
Sub 3 for x


Quadratic_Equations/551206: Find the equation of the axis of symmetry for y=2x^2+8x-1. Use the formula x= -b/2a
1 solutions

Answer 359555 by Alan3354(30983) About Me  on 2011-12-31 11:34:36 (Show Source):
You can put this solution on YOUR website!
Find the equation of the axis of symmetry for y=2x^2+8x-1.
Use the formula x= -b/2a
------
a = 2, b = 8
Use the formula x= -b/2a


Probability-and-statistics/551236: Find the sides (to 2 decimal places) of the following triangle:
angle A = 45, angle B = 60, angle C = 75

1 solutions

Answer 359554 by Alan3354(30983) About Me  on 2011-12-31 11:33:09 (Show Source):
You can put this solution on YOUR website!
Find the sides (to 2 decimal places) of the following triangle:
angle A = 45, angle B = 60, angle C = 75
------------------
There's no unique solution, there are an infinite # of similar triangles.
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Coordinate-system/551221: Find the area of the region bounded by x = y3 , x+y=2 , y =0
1 solutions

Answer 359543 by Alan3354(30983) About Me  on 2011-12-31 09:20:01 (Show Source):
You can put this solution on YOUR website!
Find the area of the region bounded by x = y3 , x+y=2 , y =0
------------
That's the area under y = x^3 from x=0 to x=1, and the x-axis, plus a triangle with vertices
(1,0), (1,1) & (2,0).
-----------
Under the curve:
Int(x^3)dx = x%5E4%2F4
Area = 1/4 sq unit
----
The triangle is 1*1/2 = 1/2 sq unit
Total = 3/4 sq unit


Expressions-with-variables/551215: please can you help me solve this question? Write algebraic expressions for the following sentence.
Billy had r pound coins and found another.How many pound coins did he have then?
1 solutions

Answer 359540 by Alan3354(30983) About Me  on 2011-12-31 06:13:46 (Show Source):


Travel_Word_Problems/551220: I'm really terrible... I tried hard to answer but I think my answer is wrong. My answer to the word problem I'm about to ask now is 3hrs and 33 minutes. I badly want to show my solution but I kind of misplaced it so here is my word problem.
Two buses starts out from the same terminal and travel in opposite directions at the rates of 80 kph and 70 kph, respectively. In how many hours will they be 500 kilometers apart?
1 solutions

Answer 359539 by Alan3354(30983) About Me  on 2011-12-31 06:13:11 (Show Source):
You can put this solution on YOUR website!
Two buses starts out from the same terminal and travel in opposite directions at the rates of 80 kph and 70 kph, respectively. In how many hours will they be 500 kilometers apart?
----------------
Going in opposite directions, their speeds are added --> 150 km/hr
----
d = r*t
t = d/r = 500/150
t = 3.333 hrs = 3 hr 20 mins


Trigonometry-basics/550922: For what numbers x, 0<=x<=2pi does sin x = -1? Can you please show me a step by step instruction on how you solve this problem.
1 solutions

Answer 359511 by Alan3354(30983) About Me  on 2011-12-30 21:45:29 (Show Source):
You can put this solution on YOUR website!
For what numbers x, 0<=x<=2pi does sin x = -1? Can you please show me a step by step instruction on how you solve this problem.
----------
Plot on a unit circle.
Hyp = 1
sin = side opp/hyp = y/x
--> 3pi/2


Angles/551073: The supplement of an angle is ten times as large as the complement. Find the original angle
1 solutions

Answer 359489 by Alan3354(30983) About Me  on 2011-12-30 20:13:22 (Show Source):
You can put this solution on YOUR website!
The supplement of an angle is ten times as large as the complement. Find the original angle
-------
A + 10A = 90
A = 90/11 degs


Numbers_Word_Problems/551074: The sum of the digits of a certain two digit number is 10. If the number formed by interchanging the digits is subtracted from the original number, the result is 18. What is the original number? Please help me answer this!
1 solutions

Answer 359486 by Alan3354(30983) About Me  on 2011-12-30 20:08:02 (Show Source):
You can put this solution on YOUR website!
The sum of the digits of a certain two digit number is 10. If the number formed by interchanging the digits is subtracted from the original number, the result is 18. What is the original number?
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Hint: The difference between the 2 digits is 18/9 = 2


Linear-systems/551163: (1)/(3)y=(1)/(3)x+(5)/(3)
x-3y=5
1 solutions

Answer 359485 by Alan3354(30983) About Me  on 2011-12-30 20:06:31 (Show Source):
You can put this solution on YOUR website!
(1)/(3)y=(1)/(3)x+(5)/(3)
x-3y=5
-------------------------------
(1)/(3)y=(1)/(3)x+(5)/(3)
Is it (1/3)y or 1/(3y) ?
------
Making 5/3 (5)/(3) doesn't clarify anything.


Coordinate-system/551167: if (-3,2) is the endpoint OF A LINE segment and (-1,7) is its midpoint what is the other endpoint?
1 solutions

Answer 359483 by Alan3354(30983) About Me  on 2011-12-30 19:58:47 (Show Source):
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if (-3,2) is the endpoint OF A LINE segment and (-1,7) is its midpoint what is the other endpoint?
-----------
For x: distance to MP = 2
Add 2 to MP --> x = +1
---------
For y: distance to MP = 5
Add 5 to MP --> y = +12
----
Other end at (1,12)


Trigonometry-basics/551172: Find the exact value of tan 19pi/6 using periodic properties

thanks
1 solutions

Answer 359482 by Alan3354(30983) About Me  on 2011-12-30 19:56:22 (Show Source):
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Find the exact value of tan 19pi/6 using periodic properties
-------
= tan(7pi/6)
= sqrt%283%29%2F3


Travel_Word_Problems/551162: if you are going at the speed of 60 miles per hour and the way to our destination , how many minutes will it take
1 solutions

Answer 359478 by Alan3354(30983) About Me  on 2011-12-30 19:31:45 (Show Source):
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It depends on how far it is.


Square-cubic-other-roots/551161: Cubic Root to 5/9=
1 solutions

Answer 359464 by Alan3354(30983) About Me  on 2011-12-30 18:03:06 (Show Source):
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Cubic Root to 5/9=
--------
Do you mean the cube root of 5/9 ?
root%283%2C%285%2F9%29%29+=+root%283%2C%2815%2F27%29%29
= root%283%2C15%29%2F3


test/551079: 5 x squared equals 11
1 solutions

Answer 359463 by Alan3354(30983) About Me  on 2011-12-30 18:00:48 (Show Source):
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5x%5E2+=+11
x%5E2+=+11%2F5+=+2.2
x+=+sqrt%282.2%29 plus or minus


test/551158: The sum of the digits if a certain two digit number is 6. If the original number is subtracted from the number formed by interchanging the digits, the result is 36. What is the original number? Please help me!!!
1 solutions

Answer 359461 by Alan3354(30983) About Me  on 2011-12-30 17:50:49 (Show Source):
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The sum of the digits if a certain two digit number is 6. If the original number is subtracted from the number formed by interchanging the digits, the result is 36. What is the original number?
----------
The difference when swapping the digits is always 9 times the difference between the digits.
---------
So,
t + u = 6
t - u = 4
------
Can you finish it?


Trigonometry-basics/551070: What Is The Product & Conjugate Of 3-4i
1 solutions

Answer 359458 by Alan3354(30983) About Me  on 2011-12-30 17:34:37 (Show Source):
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What Is The Product & Conjugate Of 3-4i
----------
The conjugate is 3+4i
---
The product is 3^2 + 4^2 = 25


Geometry_Word_Problems/550992: Find the volume of a cube whose edge is 9x-8y.
1 solutions

Answer 359457 by Alan3354(30983) About Me  on 2011-12-30 17:32:52 (Show Source):
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Find the volume of a cube whose edge is 9x-8y.
-----------
Vol+=+s%5E3+=+%289x-8y%29%5E3


Sequences-and-series/551026: 18,20,10,12,4,6,?
1 solutions

Answer 359455 by Alan3354(30983) About Me  on 2011-12-30 17:30:13 (Show Source):
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Do you have a question?


Surface-area/551150: alex has two congruent cubes A and B. Cube A has a surface area of 540 in2. What the area of one face of cube B?
1 solutions

Answer 359454 by Alan3354(30983) About Me  on 2011-12-30 17:29:04 (Show Source):
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alex has two congruent cubes A and B. Cube A has a surface area of 540 in2. What the area of one face of cube B?
------------
Surface area of a cube with edge length of s = 6s^2
---
6s%5E2+=+540
s%5E2+=+90 sq inch for each cubes


Exponents/551151: If a = 2i - 2j - k and b = -4i + 3j - 2k
a) find the angle between the vectors
b) find the vector product.
1 solutions

Answer 359452 by Alan3354(30983) About Me  on 2011-12-30 17:24:19 (Show Source):
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If a = 2i - 2j - k and b = -4i + 3j - 2k
a) find the angle between the vectors
b) find the vector product.
----------------
a)
|a| = sqrt(2^2 + 2^2 + 1) = 3
|b| = sqrt(4^2 + 3^2 + 2^2) = sqrt(29)
Dot product = 2*-4 + -2*3 + -1*-2 = -12
a dot b = |a|*|b|*cos(angle)
-12 = 3sqrt(29)*cos(A)
cos(A) = -12/3sqrt(29)
A =~ 137.97 degs
----------------
b)
|+i +j +k|
|+2 -2 -1| = a X b
|-4 +3 -2|
= i*(4 + 3) - j*(-4 - 4) + k*(6 - 8)
= 7i + 8j + 2k


test/551133: The value of a certain two digit number is 2 times the sum of it's digits. If the digits are reversed, the resulting number is 4.5 times the original number. What is the original number? Please help me solve this!!
1 solutions

Answer 359444 by Alan3354(30983) About Me  on 2011-12-30 17:03:00 (Show Source):
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The value of a certain two digit number is 2 times the sum of it's digits. If the digits are reversed, the resulting number is 4.5 times the original number. What is the original number?
----------
t = 10s digit
u = 1s digit
---------
10t + u = 2*(t+u)
10u + t = 4.5*(10t + u)
----
Can you finish it?
--
PS it's = it is


Polynomials-and-rational-expressions/551140: Factor the expression 36a^2 - 60ab + 25b^2 into a product of binomials.
1 solutions

Answer 359443 by Alan3354(30983) About Me  on 2011-12-30 17:00:22 (Show Source):
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Hint: both ends are squares


Polynomials-and-rational-expressions/551142: Factor the expression 49x^2 - 42xy + 9y^2 into a product of binomials.
1 solutions

Answer 359442 by Alan3354(30983) About Me  on 2011-12-30 16:55:48 (Show Source):
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Factor the expression 49x^2 - 42xy + 9y^2 into a product of binomials.
---------
Hint: When both ends are perfect squares, try that first.


Rational-functions/551141: Im taking pre calc as an online class and I'm in way over my head because they do not teach it in a way that I can understand AT ALL. please help,
I need to know:
If y varies directly as x, and y=7 when x=3 find y when x=7If y varies directly as x, and y=7 when x=3 find y when x=7
I have an idea, SO CONFUSED
1 solutions

Answer 359438 by Alan3354(30983) About Me  on 2011-12-30 16:48:23 (Show Source):
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If y varies directly as x, and y=7 when x=3 find y when x=7
----------------
y = k*x
7 = k*3
k = 7/3
-----------
when x = 7:
y = (7/3)*7
y = 49/3


Triangles/551128: For a triangle with the sides 18,20,and 27, will the triangle be acute,right,or obtuse? Support your answer wit your work.
1 solutions

Answer 359426 by Alan3354(30983) About Me  on 2011-12-30 16:13:28 (Show Source):
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For a triangle with the sides 18,20,and 27, will the triangle be acute,right,or obtuse?
----------
Compare a%5E2+%2B+b%5E2 and c%5E2 (c is the longest side)
If they're equal, it's a right triangle.
If c^2 is less, it's acute.
If c^2 is greater, it's obtuse.


Exponential-and-logarithmic-functions/551120: This is preliminary for log and exp section.
f(x)=5x
x y
-2 0.04
-1 0.2
0 1
1 5
2 25
3 125
4 625
I can't figure out no matter how I try, how the answers for y are calculated????
1 solutions

Answer 359422 by Alan3354(30983) About Me  on 2011-12-30 16:01:42 (Show Source):
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This is preliminary for log and exp section.
f(x)=5x
x y
-2 0.04
-1 0.2
0 1
1 5
2 25
3 125
4 625
-------------
It's y+=+5%5Ex not 5x


Circles/551037: what is the circumference of a 3600 ml pool
1 solutions

Answer 359414 by Alan3354(30983) About Me  on 2011-12-30 15:27:34 (Show Source):


Equations/551013: (sin^2theta+cos^2theta-3)^4=
1 solutions

Answer 359413 by Alan3354(30983) About Me  on 2011-12-30 15:26:50 (Show Source):
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(sin^2theta+cos^2theta-3)^4=
--------
Is it cos^2(theta - 3) ?
or cos^2(theta) - 3 ?
------------
%28sin%5E2%28t%29+%2B+cos%5E2%28t%29-3%29%5E4
= %281+-+3%29%5E4
= 16