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Volume/613606: Sandra and her husband are putting in a "above ground" pool. What will be the volume of the pool? (ignoring the thickness of the walls) If the length is 3.4 feet, the width is 2.3 feet and the highth is 1.8 feet?
A. 1407.6 feet cubed
B. 140.76 feet cubed
C. 14.076 feet cubed
D. 7.5 feet cubed
Could someone please help me with this problem. I am so lost!!

1 solutions

Answer 386091 by Alan3354(30959) About Me  on 2012-05-22 08:38:17 (Show Source):


logarithm/613542: which is the logarithmic form of 7 to the 5th power = 16807
1 solutions

Answer 386060 by Alan3354(30959) About Me  on 2012-05-21 22:03:49 (Show Source):
You can put this solution on YOUR website!
which is the logarithmic form of 7 to the 5th power = 16807
------------
log%287%2C16807%29+=+5


Travel_Word_Problems/613541: Number Series:
5, 6, 10, 19, 35, 60, ___
Please give the solution. Thank you.
1 solutions

Answer 386059 by Alan3354(30959) About Me  on 2012-05-21 22:02:05 (Show Source):
You can put this solution on YOUR website!
Number Series:
5, 6, 10, 19, 35, 60, 96


Travel_Word_Problems/613517: A cyclist bikes x distance at 10 miles per hour and returns
over the same path at 8 miles per hour. What is the
cyclist's average rate for the round trip in miles per hour?
1 solutions

Answer 386058 by Alan3354(30959) About Me  on 2012-05-21 22:00:12 (Show Source):
You can put this solution on YOUR website!
A cyclist bikes x distance at 10 miles per hour and returns
over the same path at 8 miles per hour. What is the
cyclist's average rate for the round trip in miles per hour?
----------
For a round trip,
Avg = 2*r1*r2/(r1 + r2) (I can prove that, if necessary)
= 2*10*8/(10+8) = 160/18
= 80/9 mi/hr
=~ 8.888... mi/hr
----------
The distance is not relevant


Trigonometry-basics/613427: Water is dripping slowly through the bottom of a small
conical cup that is 4 cm across and 6 cm deep. The cup loses half a cubic centimetre of water each
minute. How fast is the water level dropping at the moment when the water is 3 cm deep? Give
your answer both in exact form and to four decimal places.
1 solutions

Answer 386050 by Alan3354(30959) About Me  on 2012-05-21 19:13:01 (Show Source):
You can put this solution on YOUR website!
Water is dripping slowly through the bottom of a small
conical cup that is 4 cm across and 6 cm deep. The cup loses half a cubic centimetre of water each
minute. How fast is the water level dropping at the moment when the water is 3 cm deep?
------------
Vol+=+pi%2Ar%5E2%2Ah%2F3
r = 2, h = 6
r = h/3
-----
Vol+=+pi%2A%28h%2F3%29%5E2%2Ah%2F3+=+pi%2Ah%5E3%2F27
dV%2Fdt+=+%28pi%2Ah%5E2%2F9%29%2A%28dh%2Fdt%29
@ h = 3: 1+cm%2Fmin+=+%28pi%2A9%2F9%29%2A%28dh%2Fdt%29
dh%2Fdt+=+1%2Fpi cm/min


Trigonometry-basics/613423: A motor turns at 5000 rpm. Calculate angular speed in radians per second. Use 2x radians = 1 revolution. Please show process and answer.
1 solutions

Answer 386048 by Alan3354(30959) About Me  on 2012-05-21 19:03:48 (Show Source):
You can put this solution on YOUR website!
A motor turns at 5000 rpm. Calculate angular speed in radians per second. Use 2x radians = 1 revolution. Please show process and answer.
-------------
1 rev = 2pi radians
5000 rev/min = 10000pi/min in radians
= 10000pi/60 rad/sec
= 500pi/3 rad/sec


Surface-area/613424: ow do you get 2000 for the surface area of a cylinder
1 solutions

Answer 386044 by Alan3354(30959) About Me  on 2012-05-21 18:44:52 (Show Source):
You can put this solution on YOUR website!
ow do you get 2000 for the surface area of a cylinder
----------
You get a cylinder of the size that has a surface area of 2000.


Quadratic-relations-and-conic-sections/613360: 12y^2-40x^2=480
1 solutions

Answer 386013 by Alan3354(30959) About Me  on 2012-05-21 16:02:47 (Show Source):
You can put this solution on YOUR website!
12y^2-40x^2=480
--------------
That's nice.
Do you have a question?


Trigonometry-basics/613354: Find all values of x to the nearest degree that satisfy the equation 3cos2x + cosx + 2 = 0 if 0o < x < 360o.
1 solutions

Answer 386001 by Alan3354(30959) About Me  on 2012-05-21 15:46:42 (Show Source):
You can put this solution on YOUR website!
Find all values of x to the nearest degree that satisfy the equation 3cos2x + cosx + 2 = 0 if 0 < x < 360
-------------
If it's 3cos%5E2%28x%29 and not 3cos(2x),
Sub u for cos(x)
-----
3u%5E2+%2B+u+%2B+2+=+0
cos(x) = u = complex numbers
I doubt you want the arccos of complex numbers.
Clarify the first term with parentheses.


Linear-equations/613267: The federal government subsidizes many types of farms. How does the government determine what type of farm to subsidize? Why should or shouldn't the government subsidize farms?
1 solutions

Answer 385983 by Alan3354(30959) About Me  on 2012-05-21 14:28:52 (Show Source):
You can put this solution on YOUR website!
The federal government subsidizes many types of farms. How does the government determine what type of farm to subsidize? Why should or shouldn't the government subsidize farms?
-----------------
That's not a math question.


Travel_Word_Problems/613342: it takes 1 hour 53 minutes and 20 seconds to drive to dallas 168 km. away. What would be your speed in kilometers per hour, (km/hr), and what would be your acceleration from the start, (m/s)
1 solutions

Answer 385981 by Alan3354(30959) About Me  on 2012-05-21 14:23:04 (Show Source):
You can put this solution on YOUR website!
it takes 1 hour 53 minutes and 20 seconds to drive to dallas 168 km. away. What would be your speed in kilometers per hour, (km/hr), and what would be your acceleration from the start, (m/s)
--------------
d = r*t
r = d/t = 168/(17/9)
r =~ 88.94 km/hr
-------------
Not enough info for acceleration, which is m/sec/sec, not m/sec


logarithm/613333: 8+log%28+2%2C+x+%29+ = 27
find x
1 solutions

Answer 385977 by Alan3354(30959) About Me  on 2012-05-21 14:02:50 (Show Source):
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8+log%28+2%2C+x+%29+ = 27
---------
+log%28+2%2C+x+%29+ = 27/8
x+=+2%5E%2827%2F8%29
x =~ 10.3747


logarithm/613335: 4+log%28+25%2C+4+%29+ = x
find x
1 solutions

Answer 385974 by Alan3354(30959) About Me  on 2012-05-21 13:57:17 (Show Source):


logarithm/613336: 4+log%28+4%2C+25+%29+ = x
find x
1 solutions

Answer 385973 by Alan3354(30959) About Me  on 2012-05-21 13:56:33 (Show Source):
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4+log%28+4%2C+25+%29+ = x
find x
----------
x = +log%28+4%2C+25%5E4+%29+
x+=+log%2825%5E4%29%2Flog%284%29
x =~ 9.2877


Travel_Word_Problems/613287: a car covers a distance at speed of 20 km/h.it covers same distance while returning at speed of 30 km/h due to less traffic.what is average speed of car?.
1 solutions

Answer 385970 by Alan3354(30959) About Me  on 2012-05-21 13:41:14 (Show Source):
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a car covers a distance at speed of 20 km/h.it covers same distance while returning at speed of 30 km/h due to less traffic.what is average speed of car?
------------------
Avg speed of a round trip, or equal distances, is
Avg = 2*r1*r2/(r1 + r2)
Avg = 2*20*30/(20 + 30)
Avg = 24 km/hr
----------------
It's not 25, because more time is spent at the lower speed.
The distance is irrelevant.


Permutations/613316: (9,5)(5,3)(4,1)Evaluate the expression.

1 solutions

Answer 385959 by Alan3354(30959) About Me  on 2012-05-21 13:24:32 (Show Source):
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(9,5)(5,3)(4,1)Evaluate the expression.
---------
What expression?


�t�e�s�t/613270: In base, the number 31 represents a prime number. In base k, however, this two-digit number represents a perfect square. For what value or values of k, 3< k <10, is 31 a perfect square?
1 solutions

Answer 385923 by Alan3354(30959) About Me  on 2012-05-21 10:53:52 (Show Source):
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In base, the number 31 represents a prime number. In base k, however, this two-digit number represents a perfect square. For what value or values of k, 3< k <10, is 31 a perfect square?
------------
Assuming you mean base 10:
----
Bases 2 & 3 are eliminated by the 3.
For bases 4 to 9, 31 = 3*b + 1, b is the base
4: 13
5: 16
6: 19
7: 22
8: 25
9: 28


Matrices-and-determiminant/613276: What is the determinant?
|5 7|
|3 8|
This is altogether but I couldn't make a straight line that was long enough
1 solutions

Answer 385921 by Alan3354(30959) About Me  on 2012-05-21 10:47:42 (Show Source):
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What is the determinant?
|5 7|
|3 8|
----------
Det = 5*8 - 3*7
= 19


test/613244: A ball is thrown off the top of a classroom building with an initial upward velocity of 10 feet per second. The height above the ground can be found using h= -16t(squared) + 10t + 40 with t representing time in seconds and h representing height in feet. How high is the ball after 0.8 seconds? When will the ball be 20 feet above the ground and headed down?
1 solutions

Answer 385906 by Alan3354(30959) About Me  on 2012-05-21 09:19:26 (Show Source):
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A ball is thrown off the top of a classroom building with an initial upward velocity of 10 feet per second. The height above the ground can be found using h= -16t(squared) + 10t + 40 with t representing time in seconds and h representing height in feet. How high is the ball after 0.8 seconds?
-----
Sub 0.8 for t
h(0.8) = -16*0.8^2 + 10*0.8 + 40
= 37.76 feet
-----------------
When will the ball be 20 feet above the ground and headed down?
h = 20
20 = -16t^2 + 10t + 40
-16t%5E2+%2B+10t+%2B+20+=+0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case -16x%5E2%2B10x%2B20+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%2810%29%5E2-4%2A-16%2A20=1380.

Discriminant d=1380 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-10%2B-sqrt%28+1380+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%2810%29%2Bsqrt%28+1380+%29%29%2F2%5C-16+=+-0.848385976312919
x%5B2%5D+=+%28-%2810%29-sqrt%28+1380+%29%29%2F2%5C-16+=+1.47338597631292

Quadratic expression -16x%5E2%2B10x%2B20 can be factored:
-16x%5E2%2B10x%2B20+=+%28x--0.848385976312919%29%2A%28x-1.47338597631292%29
Again, the answer is: -0.848385976312919, 1.47338597631292. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-16%2Ax%5E2%2B10%2Ax%2B20+%29

=======================
Ignore the negative solution.




Angles/613217: if m ABC=900, then ________________ angle
1 solutions

Answer 385903 by Alan3354(30959) About Me  on 2012-05-21 09:11:40 (Show Source):
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if m ABC=900, then ________________ angle
---------
it's a large


Polygons/613047: what is the exterior angle and number of sides if the interior equal 140 degrees
1 solutions

Answer 385856 by Alan3354(30959) About Me  on 2012-05-20 19:23:27 (Show Source):
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what is the exterior angle and number of sides if the interior equal 140 degrees
-------
Ext angle = 180 - 140 = 40 degs
n = 360/40 = 9 sides


percentage/613009: what is a 2% sales discount of 350$ ?
pbarnar1@my.chemeketa.edu
1 solutions

Answer 385855 by Alan3354(30959) About Me  on 2012-05-20 19:09:23 (Show Source):
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what is a 2% sales discount of 350$ ?
-------
2% of $350 = $350*0.02
= $7


Quadratic-relations-and-conic-sections/612997: Need help on writing the standard form of the equation:+y%5E2-x%2B2y%2B3=0
I tryed it out by completing the square this is what I done:
+y%5E2-x%2B2y%2B3=0
+y%5E2%2B2y-x%2B3=0 grouped the y terms together
y%5E2%2B2y%2B1=+x-3+%2B1 divided 2 by -2 and squared it, moved x+3 to the right and added 1 to both sides.
%28y%2B1%29%5E2+=+x-2+ that's the last part I got. Am I on the right track? I think it's supposed to be a parabola.
Please show your steps on how to get the answer.

1 solutions

Answer 385844 by Alan3354(30959) About Me  on 2012-05-20 17:36:48 (Show Source):
You can put this solution on YOUR website!
Need help on writing the standard form of the equation:+y%5E2-x%2B2y%2B3=0
I tryed it out by completing the square this is what I done:
+y%5E2-x%2B2y%2B3=0
+y%5E2%2B2y-x%2B3=0 grouped the y terms together
y%5E2%2B2y%2B1=+x-3+%2B1 divided 2 by -2 and squared it, moved x+3 to the right and added 1 to both sides.
%28y%2B1%29%5E2+=+x-2+ that's the last part I got. Am I on the right track? I think it's supposed to be a parabola.
Please show your steps on how to get the answer.
-----
One more step
%28y%2B1%29%5E2+%2B+2+=+x+


Exponential-and-logarithmic-functions/612970: cube root (8^2x)=sqrt2^(4x-1)
1 solutions

Answer 385843 by Alan3354(30959) About Me  on 2012-05-20 17:35:03 (Show Source):
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root%283%2C%288%5E%282x%29%29%29=sqrt%282%5E%284x-1%29%29
2%5E%282x%29=sqrt%282%5E%284x-1%29%29
Square both sides
2%5E%284x%29+=+2%5E%284x-1%29
4x = 4x - 1
No solution.


Geometry_proofs/612992: What is the relationship between a radius and a tangent at the point if tangency?
1 solutions

Answer 385837 by Alan3354(30959) About Me  on 2012-05-20 17:22:52 (Show Source):


Geometry_proofs/612991: What is the relationship between an inscribed angle and its intercepted arc?
1 solutions

Answer 385836 by Alan3354(30959) About Me  on 2012-05-20 17:22:26 (Show Source):
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What is the relationship between an inscribed angle and its intercepted arc?
----------
Arc length = angle*radius, angle in radians


test/612900: (3,4) (4,6)
1 solutions

Answer 385821 by Alan3354(30959) About Me  on 2012-05-20 16:26:46 (Show Source):
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Do you have a question?


Linear-equations/612865: solve by graphing. y=1. y=x
1 solutions

Answer 385820 by Alan3354(30959) About Me  on 2012-05-20 16:25:55 (Show Source):
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solve by graphing. y=1. y=x
-------
y = 1
x = 1


Equations/612957: please help me sove this:
5/4x + 1/8x = 3/8 + x
1 solutions

Answer 385818 by Alan3354(30959) About Me  on 2012-05-20 16:21:41 (Show Source):
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please help me sove this:
5/4x + 1/8x = 3/8 + x
-----------
Multiply thru by 8


Parallelograms/612875: if angle dab=2x-10 and angle adc=3x find angle dab

1 solutions

Answer 385816 by Alan3354(30959) About Me  on 2012-05-20 16:07:55 (Show Source):
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if angle dab=2x-10 and angle adc=3x find angle dab
----------
Not enough info.


Linear_Equations_And_Systems_Word_Problems/612917: While a vacation, Lisa Carr traveled a total distance of 425 miles. Her trip took 8.5 hours. What was her average speed?
1 solutions

Answer 385815 by Alan3354(30959) About Me  on 2012-05-20 16:06:15 (Show Source):
You can put this solution on YOUR website!
While a vacation, Lisa Carr traveled a total distance of 425 miles. Her trip took 8.5 hours. What was her average speed?
-----------
d = r*t
r = d/t