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Alan3354 answered: 30963 problems
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Linear-equations/682364: find the slope of the line that passes through each pair of points.
(3,2),(5,6)
please help:)
1 solutions

Answer 423140 by Alan3354(30983) About Me  on 2012-11-18 17:35:40 (Show Source):
You can put this solution on YOUR website!
find the slope of the line that passes through each pair of points.
(3,2),(5,6)
----------------
Slope m = diffy/diffx


logarithm/682352: ln 1/e^2
I tried doing log 1/ log e but I don't know what to do with the ^2
1 solutions

Answer 423133 by Alan3354(30983) About Me  on 2012-11-18 17:07:00 (Show Source):
You can put this solution on YOUR website!
ln 1/e^2
----------
ln%281%2Fe%5E2%29+=+ln%28e%5E%28-2%29%29
= -2


Radicals/682340: cubed square root x to the 12th power
1 solutions

Answer 423132 by Alan3354(30983) About Me  on 2012-11-18 17:05:01 (Show Source):
You can put this solution on YOUR website!
cubed square root x to the 12th power
-------------
What is "cubed square root?"


Polynomials-and-rational-expressions/682345: What is 2x*4x is x=3?
Please show me how you got this answer. Thanks. :)
1 solutions

Answer 423131 by Alan3354(30983) About Me  on 2012-11-18 17:04:09 (Show Source):
You can put this solution on YOUR website!
What is 2x*4x is x=3?
Please show me how you got this answer. Thanks. :)
------------
What is 2x*4x is x=3?
It's a confusing question.
What is it you want to do?


Travel_Word_Problems/682308: Hi! I'm helping my stepdaughter with this problem, and we are not sure how to "set up" this problem in an equation. It is stated:
A freight train leaves a station traveling 60 miles per hour. Thirty minutes later a passenger train leaves the station in the same direction on a parallel track at a speed of 72 miles per hour. How long will it take the passenger train to catch the freight train?
Thank you!
1 solutions

Answer 423129 by Alan3354(30983) About Me  on 2012-11-18 17:02:55 (Show Source):
You can put this solution on YOUR website!
A freight train leaves a station traveling 60 miles per hour. Thirty minutes later a passenger train leaves the station in the same direction on a parallel track at a speed of 72 miles per hour. How long will it take the passenger train to catch the freight train?
-----------------
In 30 mins (1/2 hr) the 1st train has gone 30 miles (60*1/2)
The 2nd train gains on the 1st at 12 mi/hr (72-60)
30 mi/12 mi/hr = 2.5 hours.


test/682350: 2 and 2/3 divided by 1/3.. Could you please show me how to do this equation
1 solutions

Answer 423128 by Alan3354(30983) About Me  on 2012-11-18 17:00:11 (Show Source):
You can put this solution on YOUR website!
2 and 2/3 divided by 1/3.. Could you please show me how to do this equation
-------------
It's not an equation.
There's no equal sign --> not an equation.
-----------
Invert the divisor and multiply.
1/3 inverted = 3
2 2/3 * 3 = 6 6/3 = 6+2
= 8


Numbers_Word_Problems/682226: write down two numbers whose product is -24 and whose sum is +2
1 solutions

Answer 423091 by Alan3354(30983) About Me  on 2012-11-18 12:59:01 (Show Source):
You can put this solution on YOUR website!
write down two numbers whose product is -24 and whose sum is +2
--------
-4 & 6


Rectangles/681911: what is the perimeter of football field is length is 120 yards and width is 160 feet.how many total feet will be
1 solutions

Answer 422922 by Alan3354(30983) About Me  on 2012-11-17 16:50:31 (Show Source):
You can put this solution on YOUR website!
what is the perimeter of football field is length is 120 yards and width is 160 feet.how many total feet will be
-----------
P = 2L + 2W
L = 360 ft
W = 160 ft


Rate-of-work-word-problems/681982: Ten workers can paint a house in six days. Working at the same rate, how many days will it take for 2 workers to paint the house?
1 solutions

Answer 422919 by Alan3354(30983) About Me  on 2012-11-17 16:48:59 (Show Source):
You can put this solution on YOUR website!
Ten workers can paint a house in six days. Working at the same rate, how many days will it take for 2 workers to paint the house?
-----------
10*6 = 60 man-hours
---
60 m-h/2 m = 30 days


Trigonometry-basics/681981: How many solutions does the equation sin theta=3/2 have? Why?
1 solutions

Answer 422918 by Alan3354(30983) About Me  on 2012-11-17 16:47:56 (Show Source):
You can put this solution on YOUR website!
How many solutions does the equation sin theta=3/2 have? Why?
--------------------
It has no real number solutions. The sine <= 1 for all real numbers.
--------------
It has an infinite number of complex number solutions, tho.


test/681940: I have a question on a project for algebra 2 I am doing and I'm stuck and don't know what to do.
1 solutions

Answer 422897 by Alan3354(30983) About Me  on 2012-11-17 16:14:05 (Show Source):
You can put this solution on YOUR website!
I have a question on a project for algebra 2 I am doing and I'm stuck and don't know what to do.
----------------
could be worse.
I don't even know what the problem is.


Polynomials-and-rational-expressions/681975: what are tha factors of 121x^2-9
1 solutions

Answer 422895 by Alan3354(30983) About Me  on 2012-11-17 16:07:04 (Show Source):
You can put this solution on YOUR website!
what are tha factors of 121x^2-9
-------------
It's a difference of 2 squares.
a%5E2+-+b%5E2+=+%28a-b%29%2A%28a%2Bb%29


Radicals/681939: Please rationalize the denominator
3/4th root of 25
1 solutions

Answer 422894 by Alan3354(30983) About Me  on 2012-11-17 16:06:06 (Show Source):
You can put this solution on YOUR website!
Please rationalize the denominator
3/4th root of 25
--------------
3%2Froot%284%2C25%29+=+3%2Fsqrt%285%29
= 3sqrt%285%29%2F5
=======================


Geometry_Word_Problems/681963:
A phone screen has a height of 4 inches with a diagonal measurement of 5 inches. How many inches wide is the rectangular screen? Enter only a numeric value for your answer (Do not use decimal point, =, space bar).
1 solutions

Answer 422893 by Alan3354(30983) About Me  on 2012-11-17 16:00:32 (Show Source):
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A phone screen has a height of 4 inches with a diagonal measurement of 5 inches. How many inches wide is the rectangular screen?
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Use the Pythagorean Theorem
5%5E2+=+4%5E2+%2B+w%5E2


Travel_Word_Problems/681958: a jet travels 1,710 miles in 3 hours at this rate how long would it take the jet to travel 855 miles.
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Answer 422891 by Alan3354(30983) About Me  on 2012-11-17 15:59:25 (Show Source):
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a jet travels 1,710 miles in 3 hours at this rate how long would it take the jet to travel 855 miles.
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Hint: it's half the distance.


Equations/681967: how do you solve for x and y using equal value method?
y=-3x-6
y=2x-4

1 solutions

Answer 422890 by Alan3354(30983) About Me  on 2012-11-17 15:58:21 (Show Source):
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The RHS (right hand side) of both eqns = y, so they equal each other.


Equations/681969: what is the answer to the next problem if your solving for x and y using equal value method?
y=5x+8
y=-1x+4
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Answer 422888 by Alan3354(30983) About Me  on 2012-11-17 15:56:54 (Show Source):
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what is the answer to the next problem if your solving for x and y using equal value method?
y=5x+8
y=-1x+4
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The RHS (right hand side) of both eqns = y, so they equal each other.


Quadratic_Equations/681972: What is the factored form of 4x^2-32x+164
1 solutions

Answer 422885 by Alan3354(30983) About Me  on 2012-11-17 15:53:38 (Show Source):
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What is the factored form of 4x^2-32x+164
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There's an obvious factor of 4, then it's prime.


logarithm/681961: How do I solve the equation? It says to state my exact answer. If the exact answer is irrational, also give an approximate answer to three decimal places.
7e^(3x-2)+2=15
1 solutions

Answer 422883 by Alan3354(30983) About Me  on 2012-11-17 15:52:40 (Show Source):
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7e^(3x-2)+2=15
7e^(3x-2) = 13
e^(3x-2) = 13/7
3x-2 = ln(13/7)
x = (ln(13/7) + 2)/3


Linear_Equations_And_Systems_Word_Problems/681941: I need help with Linear systems word problems. Onf question that I am having trouble with is:
One plane at 520 feet is ascending at a rate of 40 feet per minute, while another plane at 3800 feet is desending at a rate of 120 feet per minute. How long will it take the two planes to be at the same altitude?
1 solutions

Answer 422862 by Alan3354(30983) About Me  on 2012-11-17 13:42:44 (Show Source):
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One plane at 520 feet is ascending at a rate of 40 feet per minute, while another plane at 3800 feet is desending at a rate of 120 feet per minute. How long will it take the two planes to be at the same altitude?
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h(t) = 520 - 40t = 3800 - 120t
520 - 40t = 3800 - 120t
80t = 3280
t = 41 minutes
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but,
the first plane will hit the ground in 13 minutes, the 2nd will impact at 31.67 minutes.
So they'll be at the same altitude, zero, at 31.67 minutes.


t e s t/681918: In the sequence, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 when we add any three numbers we have to get the answer 30..
1 solutions

Answer 422860 by Alan3354(30983) About Me  on 2012-11-17 12:43:57 (Show Source):
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In the sequence, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 when we add any three numbers we have to get the answer 30..
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The sum of 3 odd numbers is an odd number, can't be 30.


Surface-area/681892: The area of a square is 83 cm2. Find the length of a side to the nearest hundredth.
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Answer 422856 by Alan3354(30983) About Me  on 2012-11-17 11:19:18 (Show Source):
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The area of a square is 83 cm2. Find the length of a side to the nearest hundredth.
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s+=+sqrt%2883%29 cm


Radicals/681910: square root of x divided by the cube root of x
1 solutions

Answer 422854 by Alan3354(30983) About Me  on 2012-11-17 10:45:43 (Show Source):
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square root of x divided by the cube root of x
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You didn't say what you want to do.
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sqrt%28x%29%2Froot%283%2Cx%29
= root%286%2Cx%5E3%29%2Froot%286%2Cx%5E2%29
= root%286%2Cx%29


Triangles/681872: A piece of land with an area of 2400 sq.m is in the shape of a right triangle with the hypotenuse 100m long. Find the two legs.
1 solutions

Answer 422853 by Alan3354(30983) About Me  on 2012-11-17 10:43:06 (Show Source):
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A piece of land with an area of 2400 sq.m is in the shape of a right triangle with the hypotenuse 100m long. Find the two legs.
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a*b/2 = 2400 --> a = 4800/b
a%5E2+%2B+b%5E2+=+100%5E2
Sub for a
%284800%2Fb%29%5E2+%2B+b%5E2+=+100%5E2
23040000+%2B+b%5E4+=+10000b%5E2
b%5E4+-+10000b%5E2+%2B+23040000+=+0
sub x for b^2
x%5E2+-+10000x+%2B+23040000+=+0
(x - 3600)*(x - 6400) = 0
x = 3600, 6400
--> b = 60, 80
Legs are 60 & 80 meters


�t�e�s�t/681889: A pendulum swings through an angle of 20 degrees each second. The tip moves 5 inches each second. How long is the pendulum ? State your answer correct to one decimal place.
1 solutions

Answer 422852 by Alan3354(30983) About Me  on 2012-11-17 10:36:41 (Show Source):
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A pendulum swings through an angle of 20 degrees each second. The tip moves 5 inches each second. How long is the pendulum ? State your answer correct to one decimal place.
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20+degs+=+pi%2F9 radians
r = arc/angle = 5/(pi/9) = 45/pi inches
r =~ 14.3 inches


Proportions/681898: Please help me with the following proportion....x+1 over x-1 = 14 over 20 Thankyou
1 solutions

Answer 422851 by Alan3354(30983) About Me  on 2012-11-17 10:34:08 (Show Source):
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x+1 over x-1 = 14 over 20
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%28x%2B1%29%2F%28x-1%29+=+14%2F20
Cross multiply
20(x+1) = 14(x-1)
etc


�t�e�s�t/681895: tan(π/3) + cos (π/4) exact value ?
1 solutions

Answer 422850 by Alan3354(30983) About Me  on 2012-11-17 10:32:41 (Show Source):
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tan(π/3) + cos (π/4) exact value ?
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= sqrt%283%29+%2B+sqrt%282%29%2F2


Average/681905: Hi
If I have a 92 in Social Studies and we have had four tests so far, and on my 5th and 6th test I make an 80 on both, what is my grade?
Thank You for your time and help.
1 solutions

Answer 422849 by Alan3354(30983) About Me  on 2012-11-17 10:30:55 (Show Source):
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If I have a 92 in Social Studies and we have had four tests so far, and on my 5th and 6th test I make an 80 on both, what is my grade?
G = (92 + 92 + 92 + 92 + 80 + 80)/6


�t�e�s�t/681906: A radioactive isotope decays at a rate that is modeled by the following formula.
A(t) = 30e^ -.001t
1. How much material was present initally ?
2. How much will be present in 2000 years ?

1 solutions

Answer 422846 by Alan3354(30983) About Me  on 2012-11-17 10:17:33 (Show Source):
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A radioactive isotope decays at a rate that is modeled by the following formula.
A(t) = 30e^ -.001t
1. How much material was present initally ?
A%280%29+=+30%2Ae%5E0
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2. How much will be present in 2000 years ?
A%282000%29+=+30%2Ae%5E%28-0.001%2A2000%29


Linear-equations/681904: A mountaineer needs 5 hours to go over a mountain. The length of the path is 15km. His uphill speed is 1.5km/h, where his downhill speed is 4km/h. How much time does he need to finish the uphill and downhill path respectively?
1 solutions

Answer 422845 by Alan3354(30983) About Me  on 2012-11-17 10:15:14 (Show Source):
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A mountaineer needs 5 hours to go over a mountain. The length of the path is 15km. His uphill speed is 1.5km/h, where his downhill speed is 4km/h. How much time does he need to finish the uphill and downhill path respectively?
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d = r*t
t = d/r
15 km/1.5 km/hr = 10 hours
Not gonna do in 5 hours.


�t�e�s�t/681897: Suppose θ measures (4π/5) radians. Determine the exact measure of θ in degrees. (no decimals please !) Thanks

1 solutions

Answer 422844 by Alan3354(30983) About Me  on 2012-11-17 10:11:43 (Show Source):