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Alan3354 answered: 30939 problems
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logarithm/567309: Express 2log 3 + 3log 2 - log 6 as a single logarithm.
1 solutions

Answer 366499 by Alan3354(30959) About Me  on 2012-02-03 10:22:40 (Show Source):
You can put this solution on YOUR website!
Express 2log 3 + 3log 2 - log 6 as a single logarithm.
-----
2log(3) = log(9)
3log(2) = log(8)
----
--> log(8*9/6)
= log(12)


Graphs/567294: How do you solve x=2 and 3x + 2y = 4
1 solutions

Answer 366497 by Alan3354(30959) About Me  on 2012-02-03 09:02:09 (Show Source):
You can put this solution on YOUR website!
How do you solve x=2 and 3x + 2y = 4
-----------
Solving for x is easy
x = 2
-----
Sub 2 for x in the 2nd equation:
3*2 + 2y = 4
2y = -2
y = -1


Linear_Equations_And_Systems_Word_Problems/567295: if c equals degree celsius and f equals degree Fahrenheit ,assume that the relationship between the two temprature scales is linear and is being graphed with f on vertical axis.two data points on the line relating c and f are (5,41)and (25,77).using the points to find slope intercept equation which allow transformation from Celsius temperature to equivalent Fahrenheit temperature. Identify and intercept the meaning of the slope, c intercept , and f intercept
1 solutions

Answer 366495 by Alan3354(30959) About Me  on 2012-02-03 08:51:25 (Show Source):
You can put this solution on YOUR website!
if c equals degree celsius and f equals degree Fahrenheit ,assume that the relationship between the two temprature scales is linear and is being graphed with f on vertical axis.two data points on the line relating c and f are (5,41)and (25,77).using the points to find slope intercept equation which allow transformation from Celsius temperature to equivalent Fahrenheit temperature. Identify and intercept the meaning of the slope, c intercept , and f intercept
--------------------
slope = (77-41)/(25-5) = 1.8
Slope is the ratio of F to C
A change in temperature gives a larger difference in degs F than degs C.
eg, the liquid temp range of water (at standard pressure) is 180º F or 100º C.
-------------
F = 1.8C + b
41 = 1.8*5 + b
b = 32
--> F = 1.8C + 32
-------------------
At the C intercept, F = 0
At the F intercept, C = 0


Coordinate-system/567194: how to graph y=1/2x - 3 ?
1 solutions

Answer 366448 by Alan3354(30959) About Me  on 2012-02-02 22:30:09 (Show Source):
You can put this solution on YOUR website!
how to graph y=1/2x - 3 ?
-----------------
Same as always
Pick 2 values for x and find y
Plot 2 points, all you need for a straight line
Draw a line thru them


Polygons/566920: how do i find the interior and exterior angles of a 900 sided regular polygon

1 solutions

Answer 366396 by Alan3354(30959) About Me  on 2012-02-02 16:40:59 (Show Source):
You can put this solution on YOUR website!
how do i find the interior and exterior angles of a 900 sided regular polygon
-----------
The sum of exterior angles is 360 degs for all polygons.
360/900 = 0.4 degs
Interior angles = 180 - ext
= 179.6 degs each


Exponents/566900: what do you do to find 4 to the 3rd power?
PLEASE HELP!
1 solutions

Answer 366395 by Alan3354(30959) About Me  on 2012-02-02 16:24:24 (Show Source):
You can put this solution on YOUR website!
what do you do to find 4 to the 3rd power?
--------
It's 4*4*4
There are 3 of them.


test/566897: the lid of a can has a 2.5 meter diameter. What is the circumference of the lid?
1 solutions

Answer 366394 by Alan3354(30959) About Me  on 2012-02-02 16:21:30 (Show Source):


Rational-functions/566830: without a calculator, sketch the following function. Make sure to label both the x and y intercepts. (Hint: find the zeroes and y-intercept in terms of c)
1 solutions

Answer 366372 by Alan3354(30959) About Me  on 2012-02-02 14:34:10 (Show Source):
You can put this solution on YOUR website!
without a calculator, sketch the following function. Make sure to label both the x and y intercepts. (Hint: find the zeroes and y-intercept in terms of c)
---------------
Any function in particular?


Geometry_Word_Problems/566801: if the perimetare of a rectangle is 30 then whats the area

1 solutions

Answer 366365 by Alan3354(30959) About Me  on 2012-02-02 14:12:07 (Show Source):
You can put this solution on YOUR website!
if the perimetare of a rectangle is 30 then whats the area
-------------
I assume you mean perimeter.
-----------
Not enough data.
It could be 1 by 14 = 14 sq units
2 by 13 = 26
3 by 12 = 36
pi by 15-pi = 15pi - pi^2
or an infinite # of other combinations.


test/566735: Have an ovarian cyst which measures: 6.4 x 2.9 x 3.1
what size is this cyst in inches??
1 solutions

Answer 366328 by Alan3354(30959) About Me  on 2012-02-02 12:10:12 (Show Source):
You can put this solution on YOUR website!
Have an ovarian cyst which measures: 6.4 x 2.9 x 3.1
what size is this cyst in inches??
----------
If those numbers are mms, divide by 25.4
If they're cms, divide by 2.54
If they're feet, you're in big trouble.


Radicals/566752: (√a)(√b)=√(ab) i an believing this to be true using the product rule
1 solutions

Answer 366327 by Alan3354(30959) About Me  on 2012-02-02 12:08:42 (Show Source):
You can put this solution on YOUR website!
It's true.
Also, root%28n%2Ca%29%2Aroot%28n%2Cb%29+=+root%28n%2Ca%2Ab%29


Surface-area/566753: If I have a cylinder that is 24 inches round and 6 feet tall how much cubic feet of dirt can fit in it?
1 solutions

Answer 366326 by Alan3354(30959) About Me  on 2012-02-02 12:07:32 (Show Source):
You can put this solution on YOUR website!
If I have a cylinder that is 24 inches round and 6 feet tall how much cubic feet of dirt can fit in it?
------------
Is it 24" around it? Or the diameter? Or the radius?


Percentage-and-ratio-word-problems/566724: If an item costs 75 cents and it is marked up to 90 cents, what percent mark up would that be?

1 solutions

Answer 366325 by Alan3354(30959) About Me  on 2012-02-02 11:51:06 (Show Source):
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If an item costs 75 cents and it is marked up to 90 cents, what percent mark up would that be?
-----------
90 - 75 = 15 cents
15/75 = 0.2
x100 = 20%


Money_Word_Problems/566730: if i take $600 from $4900 what percentage did i take?

1 solutions

Answer 366324 by Alan3354(30959) About Me  on 2012-02-02 11:48:38 (Show Source):
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if i take $600 from $4900 what percentage did i take?
-----
600/4900 =~ 0.12245
x100 --> 12.245%


Rational-functions/566741: √a + √b = √(a+b)
is this true or false
i believe i am correct saying false as the radican are different even though the index are alike
1 solutions

Answer 366323 by Alan3354(30959) About Me  on 2012-02-02 11:46:45 (Show Source):
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√a + √b = √(a+b)
is this true or false
i believe i am correct saying false as the radican are different even though the index are alike
------------------
It's false.
sqrt%28144+%2B+25%29+=+13
sqrt%28144%29+%2B+sqrt%2825%29+=+17


Equations/566717: Please help me solve:
abc
--- = ??
ac

1 solutions

Answer 366321 by Alan3354(30959) About Me  on 2012-02-02 10:54:34 (Show Source):
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Please help me solve:
abc
--- = ??
ac
===================
Cancel like terms in the NUM and DEN.


Rate-of-work-word-problems/566734: A pipe is leaking at the rate of 8 fluid ounces per minute. How many gallons is the pipe leaking per hour?
1 solutions

Answer 366320 by Alan3354(30959) About Me  on 2012-02-02 10:53:01 (Show Source):
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A pipe is leaking at the rate of 8 fluid ounces per minute. How many gallons is the pipe leaking per hour?
-----------
--> 480 fluid ounces per hour.
How many of those in a gallon?
----
I can see why people don't like metric measurements.
Fluid furlongs, etc.


Equations/566722: how would you approach this equation and what method would you use to solve, 0.0013x³ – 0.085x² + 1.6x + 12 = 23.2
1 solutions

Answer 366319 by Alan3354(30959) About Me  on 2012-02-02 10:51:24 (Show Source):
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how would you approach this equation and what method would you use to solve, 0.0013x³ – 0.085x² + 1.6x + 12 = 23.2
-------------
I graphed it and found a real root of 40.
------
If I didn't have the graph software, I would make an Excel sheet and look for a root.


Coordinate-system/566695: 215. Give the rectangular coordinates: (2, 45°)
Answer Choices:
A)(√5, √5) C)(√3, √3)
B)(√2, √2) D)(2, 2)

216. Give the rectangular coordinates: (-6, -150°).
Answer Choices:
A)(3√3, 3) C)(3, 3√3)
B)(-3√3, 3) D)(-3, 3√3)

217. Give the polar coordinates: (-2, 2).
Anser Choices:
A)(2√2, 135°) C)(135, 2√2°)
B)(2√2, 135) D)(135, 2√2)

218. Give the polar coordinates: (-√2, -√2).
Answer Choices:
A)(2, 225) C)(225, 2)
B)(2, 225°) D)(225, 2°)

219. Give the polar coordinates: (-1, √3).
Answer Choices:
A)(2, 120°) C)(120, 2°)
B)(2, 120) D)(120, 2)


1 solutions

Answer 366316 by Alan3354(30959) About Me  on 2012-02-02 09:52:48 (Show Source):
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215. Give the rectangular coordinates: (2, 45°)
Answer Choices:
A)(√5, √5) C)(√3, √3)
B)(√2, √2) D)(2,2)
-----------
x+=+r%2Asin%2845%29+=+2%2Asqrt%282%29%2F2+=+sqrt%282%29
y+=+r%2Acos%2845%29+=+2%2Asqrt%282%29%2F2+=+sqrt%282%29
--> (sqrt(2),sqrt(2))
------------------
216. Give the rectangular coordinates: (-6, -150°).
Answer Choices:
A)(3√3, 3) C)(3, 3√3)
B)(-3√3, 3) D)(-3, 3√3)
Do it like 215 above. You sure that's -6 ?
=======================
217. Give the polar coordinates: (-2, 2).
Anser Choices:
A)(2√2, 135°) C)(135, 2√2°)
B)(2√2, 135) D)(135, 2√2)
----------
r+=+sqrt%28%28-2%29%5E2+%2B+2%5E2%29+=+2sqrt%282%29
angle = arctan(y/x) = arctan(-1) = 135 degs
-----
--> (2sqrt(2),135)
=======================
218. Give the polar coordinates: (-√2, -√2).
Answer Choices:
A)(2, 225) C)(225, 2)
B)(2, 225°) D)(225, 2°)

219. Give the polar coordinates: (-1, √3).
Answer Choices:
A)(2, 120°) C)(120, 2°)
B)(2, 120) D)(120, 2)


Graphs/566682: How would you graph
y= -4
1 solutions

Answer 366314 by Alan3354(30959) About Me  on 2012-02-02 09:34:32 (Show Source):
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How would you graph
y= -4
------------
It's a straight line, so I would plot 2 points.
Pick 2 values for x.
eg, x = 0 --> (0,-4)
x = 10 --> (10,-4)
Plot the points, draw a line thru them.


Angles/566697: The sum of complementary angles is 90 degrees.
True
False
1 solutions

Answer 366313 by Alan3354(30959) About Me  on 2012-02-02 09:13:00 (Show Source):
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The sum of complementary angles is 90 degrees.
True
False
------
It's a fact.
---
For example, 22 & 68 are complementary.


Probability-and-statistics/566648: If I attempted 23 freethrows and made 15 of them, what is the probability that I will make my next attempt.
1 solutions

Answer 366311 by Alan3354(30959) About Me  on 2012-02-02 08:38:30 (Show Source):
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If I attempted 23 freethrows and made 15 of them, what is the probability that I will make my next attempt.
=================
The probability of physical things like this cannot be calculated.
What happened in the past has no effect on the next freethrow.


Linear-systems/566688: https://takeexam.next.ecollege.com/ec/pub/K12Content/Courses/resources/swfs/media/Ninth_Grade/Math/Unit19184/Lesson73197/UT2B_stem.gif


What is the slope of the line? I solved this and got 5/2...


1 solutions

Answer 366309 by Alan3354(30959) About Me  on 2012-02-02 08:29:46 (Show Source):
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https://takeexam.next.ecollege.com/ec/pub/K12Content/Courses/resources/swfs/media/Ninth_Grade/Math/Unit19184/Lesson73197/UT2B_stem.gif


What is the slope of the line? I solved this and got 5/2...
====================================
I got this:
There has been a problem with the page you are accessing. You may return to what you were doing by clicking the back button. If the problem persists, please contact the helpdesk.


Equations/566621: What is the equation of +8-+6=?

1 solutions

Answer 366299 by Alan3354(30959) About Me  on 2012-02-02 07:03:35 (Show Source):
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What is the equation of +8-+6=?
-----------------
There's no equation.


test/566659: I'm also trying to learn how operate a Texas Instrument Calculator!
1 solutions

Answer 366298 by Alan3354(30959) About Me  on 2012-02-02 07:01:46 (Show Source):


test/566244: If there are 356 beans in a 16 ounce bag, how many beans would there be in a 20 ounce bag?
1 solutions

Answer 366167 by Alan3354(30959) About Me  on 2012-02-01 16:38:33 (Show Source):
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If there are 356 beans in a 16 ounce bag, how many beans would there be in a 20 ounce bag?
---------------
356/16 = 22.25 beans/ounce
22.25*20 = 445 beans
===============
356:16::n:20
16n = 356*20
n = 445 beans
============
20 = 16*1.25
356*1.25 = 445 beans
===========
I'm going with 445 beans


Travel_Word_Problems/566220: Maria drove to a business appointment at 50mph in the morning. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/4hr longer because of traffic. How far did she travel to the appointment?
1 solutions

Answer 366165 by Alan3354(30959) About Me  on 2012-02-01 16:23:24 (Show Source):
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Maria drove to a business appointment at 50mph in the morning. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/4hr longer because of traffic. How far did she travel to the appointment?
------------------
d = r*t
d = 50t = 40*(t + 0.25)
50t = 40t + 10
t = 1 hour
--------------
d = 50*1 = 50 miles
==================
Notice that the avg speed for the round trip is not the average of 50 and 40.
Why is that?
The avg speed is less, = 44.444... mi/hr, not 45


Equations/566247: what is : Alicen has chosen a 250 page book for her book report. If she reads t pages a day, how long will it take her to read the book
1 solutions

Answer 366164 by Alan3354(30959) About Me  on 2012-02-01 16:18:21 (Show Source):
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what is : Alicen has chosen a 250 page book for her book report. If she reads t pages a day, how long will it take her to read the book
-----------------
250/t days


logarithm/566246: expand the logarithm log base 2 12^5/11^2
1 solutions

Answer 366163 by Alan3354(30959) About Me  on 2012-02-01 16:17:29 (Show Source):
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expand the logarithm log base 2 12^5/11^2
--------
= 5log(12) - 2log(11) any base


Miscellaneous_Word_Problems/566223: A truck with 48-in.-diameter wheels is traveling at 45 mi/h.
(a) Find the angular speed of the wheels in rad/min.
rad/min
(b) How many revolutions per minute do the wheels make?
rev/min
1 solutions

Answer 366147 by Alan3354(30959) About Me  on 2012-02-01 15:54:02 (Show Source):
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A truck with 48-in.-diameter wheels is traveling at 45 mi/h.
---------
45 mi/hr = 66 ft/sec = 3960 ft/minute
----------
Each revolution = pi*d feet = 4pi feet
(b) How many revolutions per minute do the wheels make?
rev/min
-------------
Each revolution = pi*d feet = 4pi feet
rpm = 3960 ft/min / 4pi feet = 990/pi rpm
=~ 315 rpm
---------------
(a) Find the angular speed of the wheels in rad/min.
rad/min
-------------
rad/min = rpm*2*pi
= 990/pi * (2pi)
= 1980 rad/min


Volume/566216: a box holds 10 cubes of 2 inches cubed. How big is the box?
each cube volume 8 cu.inches
total volume is 80 cu.in.
hence the volume of thebox should be at least 80 cu.in
cube rooting 80 we will get 4 < (cube root of ) 80 < 5
we cannot have 4. something for a side in the cube .
so we take 5 as the box side
so the box size is minimum of 5 inches

cheers

1 solutions

Answer 366146 by Alan3354(30959) About Me  on 2012-02-01 15:48:50 (Show Source):
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a box holds 10 cubes of 2 inches cubed. How big is the box?
----------
Its volume is at least 20 cubic inches.