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Alan3354 answered: 30973 problems
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Parallelograms/388818: ABCD is a parallelogram.solve for x and find the lengths of BC and AD?
1 solutions

Answer 275227 by Alan3354(30993) About Me  on 2010-12-26 11:32:00 (Show Source):
You can put this solution on YOUR website!
Not enough info.


Square-cubic-other-roots/388814: what is the complete solution of the squareroot of 78?
1 solutions

Answer 275223 by Alan3354(30993) About Me  on 2010-12-26 08:59:56 (Show Source):
You can put this solution on YOUR website!
complete?
= ± 8.831760866...


Polynomials-and-rational-expressions/388809: Can someone help me solve this problem
The polynomial 0.041h-0.018a-2.69 can’t be used to estimate capacity in liters, of a female with height h, and age a, in years. Find the lung capacity of a 60-year-old woman who is 150 centimeters tall.
Her lung capacity if approximately________ liters.

1 solutions

Answer 275222 by Alan3354(30993) About Me  on 2010-12-26 08:58:19 (Show Source):
You can put this solution on YOUR website!
If you can't use that, what do you use?


test/388797: if an astronut and her space suit weight 250 IB on earth what should be the volume of her suit if she is to practice for weightlee condition in an underwater netural buoyant simulator ?
1 solutions

Answer 275221 by Alan3354(30993) About Me  on 2010-12-26 08:57:02 (Show Source):
You can put this solution on YOUR website!
She'll have to displace 250 pounds of water.
Water is 1 gram per cc.
250 pounds = 4000 ounces =~ 113600 grams
--> 113600 cc = 113.6 liters


logarithm/388812: express as single logarithm:
log5 - log x - log y
1 solutions

Answer 275220 by Alan3354(30993) About Me  on 2010-12-26 08:44:52 (Show Source):


Travel_Word_Problems/388782: who do you work those out


1 solutions

Answer 275197 by Alan3354(30993) About Me  on 2010-12-25 20:33:23 (Show Source):
You can put this solution on YOUR website!
Very well, usually.


Triangles/388789: here is the problem: a triangle has 2 sides of equal length (2700 miles) separated by 1 degree. what is the length of the 3rd side? How is this equation solved?
1 solutions

Answer 275195 by Alan3354(30993) About Me  on 2010-12-25 20:25:24 (Show Source):
You can put this solution on YOUR website!
The altitude from the 1º gives 2 right triangles.
The 3rd side = 2*2700*sin(0.5º)
=~ 47.12 miles


Bodies-in-space/388010: A solid cylindrical stone pillar has a top in the shape of a hemisphere. Given that the pillar is 40 cm in diameter and has the same mass as a solid stone sphere of the same material, with radius 40 cm. Find the height of the pillar.
1 solutions

Answer 275185 by Alan3354(30993) About Me  on 2010-12-25 18:04:00 (Show Source):
You can put this solution on YOUR website!
A solid cylindrical stone pillar has a top in the shape of a hemisphere. Given that the pillar is 40 cm in diameter and has the same mass as a solid stone sphere of the same material, with radius 40 cm. Find the height of the pillar.
------------------
The same material and the same weight --> same volume.
-------------
The volume of the sphere =
V+=+4%2Api%2A40%5E3%2F3
V = 256000pi/3 cc
------------
For the cylinder:
V+=+pi%2Ar%5E2%2Ah+%2B+2%2Api%5Er%5E3%2F3
V+=+pi%2Ar%2A%28rh+%2B+2r%5E2%2F3%29+=+256000pi%2F3
pi*40*(40h + 2*1600/3) = 256000pi/3
1600h + 12800/3 = 256000/3
4800h = 12800 = 256000
48h = 2432
h = 50.333 cm for the cylindrical part
height overall = 50.333 + r = 90.333 cm


Polynomials-and-rational-expressions/387437: (1/2x + 4) (1/2x - 4) (4x - 8)
1 solutions

Answer 275173 by Alan3354(30993) About Me  on 2010-12-25 14:16:06 (Show Source):
You can put this solution on YOUR website!
(1/2x + 4) (1/2x - 4) (4x - 8)
= %28x%5E2%2F4+-+16%29%2A%284x+-+8%29
= x%5E3+-+2x%5E2+-+64x+%2B+128


Quadratic_Equations/388764: S^2+S+6
1 solutions

Answer 275172 by Alan3354(30993) About Me  on 2010-12-25 14:06:36 (Show Source):
You can put this solution on YOUR website!
Do you have a question?


Quadratic_Equations/388765: S^2+S+6
then how to solve in (S-S1)(S-S2)
1 solutions

Answer 275171 by Alan3354(30993) About Me  on 2010-12-25 14:05:14 (Show Source):
You can put this solution on YOUR website!
It's not an equation, so there's nothing to solve.


logarithm/387986: Convert the following equations into logarithmic form:
a. 2 = 6x
b. 7 = 6y
c. 9 = 3y
d. X = 8y

1 solutions

Answer 275170 by Alan3354(30993) About Me  on 2010-12-25 14:03:45 (Show Source):
You can put this solution on YOUR website!
No exponents are given ???


Graphs/387358: Given the linear equation y=-2/3x+1, find the y-coordinates of the points (-6, ), (-3, ), and (3, ). Please show all of your work. Plot those points and graph the linear equation.
1 solutions

Answer 275168 by Alan3354(30993) About Me  on 2010-12-25 13:17:39 (Show Source):
You can put this solution on YOUR website!
Given the linear equation y=-2/3x+1, find the y-coordinates of the points (-6, ), (-3, ), and (3, ). Please show all of your work. Plot those points and graph the linear equation.
------------------
Assuming you mean y=(-2/3)x+1 and not -2/(3x) + 1 or -2/(3x+1):
y=(-2/3)x+1
Sub 6 for x and find y
y = (-2/3)*6 + 1 = -3 --> (6,-3)
---------
x = -3:
y = 2 + 1 = 3 --> (-3,3)
------------
do the same for x = 3
---------
Plot the points, draw a line thru them.



Money_Word_Problems/388705: how much money will you have in ten years if you save $10.00 per week in a savings account that pays 1.50% interest
1 solutions

Answer 275167 by Alan3354(30993) About Me  on 2010-12-25 13:10:42 (Show Source):
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$5648.90 if compounded annually
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Without interest, it would be $5200.


Rational-functions/387349: a. The point on the x-axis that is equidistant (equal distance) from (8,4) and (-4,2)
b. The distance between the points (8,2) and (16,2). 8
c. The distance between the points (2,6) and (12,8).2
d. The midpoint between (8,2) and (10,6).
e. The midpoint between (-4, 2) and (-5, 3).

1 solutions

Answer 275166 by Alan3354(30993) About Me  on 2010-12-25 13:02:31 (Show Source):
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a. The point on the x-axis that is equidistant (equal distance) from (8,4) and (-4,2)
The point will be (x,0)
d%5E2+=+diffy%5E2+%2B+diffx%5E2 Use d squared, since it will be equal if d is =
d%5E2+=+4%5E2+%2B+%288-x%29%5E2+=+2%5E2+%2B+%28-4-x%29%5E2
16+%2B+%288-x%29%5E2+=+4+%2B+%28-4-x%29%5E2
12+%2B+64+-+16x+%2B+x%5E2+=+16+%2B+8x+%2B+x%5E2
76 - 16x = 16 + 8x
60 = 24x
x = 2.5
---> (2.5,0)
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b. The distance between the points (8,2) and (16,2). 8
8 is right.
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c. The distance between the points (2,6) and (12,8).2
How did you get 2?
d+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%2810%5E2+%2B+2%5E2%29+=+sqrt%28104%29
d=~ 10.198 units
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d. The midpoint between (8,2) and (10,6)
Find the average of x and y separately
x: (8 + 10)/2 = 0
y: (2 + 6)/2 = 4
--> (0,4)
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e. The midpoint between (-4, 2) and (-5, 3)
Same method as d --> (-4.5,2.5)


Evaluation_Word_Problems/388763: If a flagpole is 16 meters from the center of a long straight hedge, how many trees can be planted so that each tree is exactly 20 meters from the flagpole and 4 meters from the centre line of the hedge?
1 solutions

Answer 275165 by Alan3354(30993) About Me  on 2010-12-25 12:39:11 (Show Source):


Numeric_Fractions/387352: Simlify. Please be sure to show all of your work.
100-3x4 / 4^2/2^3 - (-5)^2
1 solutions

Answer 275164 by Alan3354(30993) About Me  on 2010-12-25 12:30:29 (Show Source):
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There are too many possibilities here. Use parentheses to clarify.
Use the asterisk for multiply, not x.
3x4 --> 3*4


Exponential-and-logarithmic-functions/387354: express the logarithm in terms of log2M and log2N
1 solutions

Answer 275163 by Alan3354(30993) About Me  on 2010-12-25 12:08:54 (Show Source):
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Express what log?


Linear-systems/388761: 3*x + 5 - x > 6 + 4*x - 1
1 solutions

Answer 275162 by Alan3354(30993) About Me  on 2010-12-25 12:07:38 (Show Source):
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3*x + 5 - x > 6 + 4*x - 1
Combine terms
2x + 5 > 4x + 5
Subtract 5
2x > 4x
Subtract 2x
0 > 2x
2x < 0
x < 0


decimal-numbers/388762: write 48653to nearest 1000
1 solutions

Answer 275161 by Alan3354(30993) About Me  on 2010-12-25 12:05:01 (Show Source):


Money_Word_Problems/388750: Elly invested money in an account with a fixed interest rate. The interest is compounded annually. After 5 years her balance was $2741.69, and after 10 years her balance was $3416.53.
A.Find an exponential equation that models these data. (round the growth rate to thousandths.)
B.How much did Elly orignally invest?
C.What is the interest rate for the account?
1 solutions

Answer 275160 by Alan3354(30993) About Me  on 2010-12-25 12:02:23 (Show Source):
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Elly invested money in an account with a fixed interest rate. The interest is compounded annually. After 5 years her balance was $2741.69, and after 10 years her balance was $3416.53.
A.Find an exponential equation that models these data. (round the growth rate to thousandths.
A = amount invested, r = interest rate in decimal form
@ 5 yrs: 2741.69 = A*(1 + r)^5
@10 yrs: 3416.53 = A*(1 + r)^10
2 variables, 2 equations
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log(2714.69) = log(A) + 5*log(1+r)
log(3416.53) = log(A) + 10*log(1+r)
------------------------------------- Subtract 1 from 2
0.0999865 = 5*log(1+r)
log(1+r) = 0.019973
1+r = 1.04706
r =~ 4.7%
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B.How much did Elly orignally invest?
log(2714.69) = log(A) + 5*log(1+r)
log(A) = log(2714.69) - 5*log(1.047) = 3.3339868
A = $2157.68
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C.What is the interest rate for the account? 4.7%


Graphs/387360: Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.
1 solutions

Answer 275159 by Alan3354(30993) About Me  on 2010-12-25 11:48:17 (Show Source):
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No equation is shown, but here's an example I just did:
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-3x-8y=24
@x=0: -8y = 24, y = -3 --> (0,-3) y-intercept
@y=0, -3x = 24, x = -8 --> (-8,0) x-intercept
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dl the FREE graph software at
http://www.padowan.dk
Use F6 to enter as is.


Radicals/387369: x to 5th power - y to fifth power = ?
1 solutions

Answer 275157 by Alan3354(30993) About Me  on 2010-12-25 11:45:28 (Show Source):
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x%5E5+-+y%5E5
Did you want to factor it?
= %28x-y%29%2A%28x%5E4+%2B+x%5E3y+%2B+x%5E2y%5E2+%2B+xy%5E3+%2B+y%5E4%29


Linear-equations/387402: Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work. Submit your graph to the Dropbox
-3x-8y=24
1 solutions

Answer 275156 by Alan3354(30993) About Me  on 2010-12-25 11:40:34 (Show Source):
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-3x-8y=24
@x=0: -8y = 24, y = -3 --> (0,-3) y-intercept
@y=0, -3x = 24, x = -8 --> (-8,0) x-intercept
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dl the FREE graph software at
http://www.padowan.dk
Use F6 to enter as is.


Surface-area/388009: In an evil experiment, a small spherical drop of oil is allowed to fall onto the surface of water so that it produces a thin film of oil covering a large area.
a) Given that the volume of a drop of oil is 12.5 cubic mm, find the number of drops which can be produced by 5000 cubic mm of oil, and,
b)Given that the volume V of a sphere of radius r is 4/3 pi r^3, express r in terms of V and pi. Then calculate the radius of the drop of oil.
1 solutions

Answer 275155 by Alan3354(30993) About Me  on 2010-12-25 11:09:24 (Show Source):
You can put this solution on YOUR website!
In an evil experiment, a small spherical drop of oil is allowed to fall onto the surface of water so that it produces a thin film of oil covering a large area.
a) Given that the volume of a drop of oil is 12.5 cubic mm, find the number of drops which can be produced by 5000 cubic mm of oil
5000/12.5 = 400 drops
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b)Given that the volume V of a sphere of radius r is 4/3 pi r^3, express r in terms of V and pi. Then calculate the radius of the drop of oil.
V+=+4%2Api%2Ar%5E3%2F3
r%5E3+=+3V%2F%284%2Api%29
r+=+%283V%2F%284%2Api%29%29%5E%281%2F3%29
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r+=+%283%2A12.5%2F%284%2Api%29%29%5E%281%2F3%29%29
r =~ 1.4397 mm
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I replied to your email, got a kickback.


Geometry_proofs/388745: given: PO is purpindiculr to QR; PS is purpindiculr to SR; <1=<4
prove: <2=<5
1 solutions

Answer 275154 by Alan3354(30993) About Me  on 2010-12-25 11:02:02 (Show Source):
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Not enough info.
What sort of figure is it?
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PS perpendicular is what you meant, I think.


Trigonometry-basics/388653: Two terms of an arithmetic sequence are a9 = 85 and a30 = 295. Find a rule for the nth term.
a.−5 + 12n
b.−5 + 10n
c.5 + 10n
d.5 + 12n

A mountain climber has a rope 172 feet long attached to his belt being held by his partner down on the ground. The angle of elevation from the ground to the climber is 53. Estimate the climber's height above the ground. Round your answer to the nearest integer.
a.h ≈135feet.
b.h ≈139 feet.
c.h ≈140 feet.
d.h ≈137 feet.


Graph y = sin x + 2. The Period is?

1 solutions

Answer 275152 by Alan3354(30993) About Me  on 2010-12-25 10:28:26 (Show Source):
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Two terms of an arithmetic sequence are a9 = 85 and a30 = 295. Find a rule for the nth term.
a.−5 + 12n
b.−5 + 10n
c.5 + 10n
d.5 + 12n
Which one works for a9 and a30? There are only 4, try them.
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A mountain climber has a rope 172 feet long attached to his belt being held by his partner down on the ground. The angle of elevation from the ground to the climber is 53. Estimate the climber's height above the ground. Round your answer to the nearest integer.
a.h ≈135feet.
b.h ≈139 feet.
c.h ≈140 feet.
d.h ≈137 feet
It's a right triangle. h = 172*sin(53º)
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Graph y = sin x + 2. The Period is 2pi.
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You'll get answers sooner if you post problems one at a time.


Linear_Equations_And_Systems_Word_Problems/388596: Solve the system of linear inequalities using the graphing method.
y>=3x
y<=3
1 solutions

Answer 275151 by Alan3354(30993) About Me  on 2010-12-25 10:24:18 (Show Source):
You can put this solution on YOUR website!
dl the FREE graph software from
http://www.padowan.dk
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Use F6, enter as y>=3x and y<=3


Miscellaneous_Word_Problems/388760: Scott is 5 years old. His Aunt Mary is 4 times as old. In how many years will scott be half as old as his aunt will be at that time?
1 solutions

Answer 275150 by Alan3354(30993) About Me  on 2010-12-25 10:21:18 (Show Source):
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Their age difference is 15 years.
He'll be 1/2 as old when he's 15.
In 10 years.


test/388752: Ok! Hers my situation. I'm 50 years old. I have known algebra. I made a commitment with myself to enroll in a University full time to accomplish a double major. (1). (BS) Mathematics (3yrs.) & (2). (BS) Civil Engineering (2yrs.).
Now ! my question is this I would say I am at a elementary math level (pre-algebra). My primary goal is to reach a calculus for engineering level. What is the most direct route without skipping any steps of course map should I take and what format should I use? DVD's with practice sheets, online tutor, interactive structured tutor session's ect.,? I start this Spring semester January, 24, 2011
1 solutions

Answer 275149 by Alan3354(30993) About Me  on 2010-12-25 10:19:32 (Show Source):
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Check out the online schools, there are several.
I don't know what they cost, and there are doubts about the credits being transferrable, but you will acquire some knowledge.


test/388759: There is 1.5 L of water in a kettle on a cooking plate of 2.0 KW. It takes 7 minutes to heat the water from 20 C to the poiling point.
a) How much electrical energy is required ?
b) What is the efficiency of the heating process?!
1 solutions

Answer 275148 by Alan3354(30993) About Me  on 2010-12-25 10:12:04 (Show Source):
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1.5 liters = 1500 grams of water
1500 gm * (100 - 20ºC) = 1.2E5 calories
1 watt-min = 14.33 calories
1.2E5/14.33 = 8374 watt-minutes to heat the water
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2000 watts * 7 minw = 14000 watt-minutes
e = 8374/14000 = 0.5981
e =~ 60%