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Linear-equations/626410: can you solve for y in terms of x
a. 3x-2y=3
b. 4y+6x=12
c. 2x+3y=7
d. 6x+2y=-10
e. 6y+2x=6
f. y-2=2(x+2)
g. 3(x+4)=y-8x+3
h. 2y+4x=3(y-x)18
1 solutions

Answer 394151 by Alan3354(30993) About Me  on 2012-07-07 06:57:25 (Show Source):
You can put this solution on YOUR website!
can you solve for y in terms of x
a. 3x-2y=3
-2y = -3x + 3
2y = 3x - 3
y = (3/2)x - 3/2
----------
Do the others the same way
b. 4y+6x=12
c. 2x+3y=7
d. 6x+2y=-10
e. 6y+2x=6
f. y-2=2(x+2)
g. 3(x+4)=y-8x+3
h. 2y+4x=3(y-x)18


Polynomials-and-rational-expressions/626414: A given POLYNOMIAL: -x^3-4x^2+3x-6 what is the COEFFICIENT of it?
Is it:
a) -1, -4, 3,-6
b) -4, 3, -6
c) -1, -4, 3
d) 3, 2, 1
Your Answer please:
I thought is was a)... Am I correct?
Thank you in advance, for your help......
1 solutions

Answer 394150 by Alan3354(30993) About Me  on 2012-07-07 06:51:38 (Show Source):
You can put this solution on YOUR website!
A given POLYNOMIAL: -x^3-4x^2+3x-6 what is the COEFFICIENT of it?
-------
A given POLYNOMIAL: -x^3-4x^2+3x-6 what are the COEFFICIENTs of it?
It's
a) -1, -4, 3,-6


logarithm/626329: Without a calculator, show that +1%2F+log%28+2%2C+pi+%29+ + +1%2Flog%28+5%2C+pi+%29+ > 2.
1 solutions

Answer 394113 by Alan3354(30993) About Me  on 2012-07-06 19:24:36 (Show Source):
You can put this solution on YOUR website!
Without a calculator, show that +1%2F+log%28+2%2C+pi+%29+ + +1%2Flog%28+5%2C+pi+%29+ > 2.
-------------
+1%2F+log%28+2%2C+pi+%29+ + +1%2Flog%28+5%2C+pi+%29+
= +1%2F%28ln%28pi%29%2Fln%282%29%29 + 1%2F%28ln%28pi%29%2Fln%285%29%29
= ln%282%29%2Fln%28pi%29 + ln%285%29%2Fln%28pi%29
= ln%2810%29%2Fln%28pi%29
= log%2810%29%2Flog%28pi%29
= 1/log(pi)
-------------
pi+%3C+sqrt%2810%29
--> 1/(<0.5)
--> > 2


Unit_Conversion_Word_Problems/626016: 1. A rectangular piece of metal measuring 20.3 cm x 70.5 cm x 2.5 cm weighs 48.5 kg. What is the density of metal in g/cc?
2. The density of a blood sample is 1.052 g/cc. What is the specific gravity of the sample?
3. The coldest temperature recorded on earth was -110 degree Fahrenheit. What is this temperature in degree Celsius? In Kelvin?
4. Calculate the amount of heat in cal. needed to raise the temperature of 30 g of copper from 28 degree Celsius to its melting point of 1083 degree Celsius. Specific heat of Cu = 0.092 cal/g degree Celsius
5. If 150 cal of heat energy is added to 50.0 g of water at 25 degree Celsius, what is the final temperature of the water? Specific heat of water = 1 cal/g degree Celsius
1 solutions

Answer 394092 by Alan3354(30993) About Me  on 2012-07-06 15:43:55 (Show Source):
You can put this solution on YOUR website!
1. A rectangular piece of metal measuring 20.3 cm x 70.5 cm x 2.5 cm weighs 48.5 kg. What is the density of metal in g/cc?
Vol = 20.3*70.5*2.5 = 3577.875 cc
Density = 48500/Vol
Dens =~ 13.56 gm/cc
-------------------------------
2. The density of a blood sample is 1.052 g/cc. What is the specific gravity of the sample?
SG = 1.052
---------------
3. The coldest temperature recorded on earth was -110 degree Fahrenheit. What is this temperature in degree Celsius? In Kelvin?
-110F = (-110 - 32)/1.8 C
=~ -78.9C
-----------
= C + 273K
= 194K
4. Calculate the amount of heat in cal. needed to raise the temperature of 30 g of copper from 28 degree Celsius to its melting point of 1083 degree Celsius. Specific heat of Cu = 0.092 cal/g degree Celsius
5. If 150 cal of heat energy is added to 50.0 g of water at 25 degree Celsius, what is the final temperature of the water? Specific heat of water = 1 cal/g degree Celsius


Expressions-with-variables/626290: what is twice the product of x and y
1 solutions

Answer 394087 by Alan3354(30993) About Me  on 2012-07-06 15:26:23 (Show Source):
You can put this solution on YOUR website!
what is twice the product of x and y
= 2xy


Inequalities/626269: solution in interval notation for
|5x+10|>=15
if you could show how you did this I would really appreciate it. ty
1 solutions

Answer 394086 by Alan3354(30993) About Me  on 2012-07-06 15:22:55 (Show Source):
You can put this solution on YOUR website!
solution in interval notation for
|5x+10|>=15
-------------
|5x+10| >= 15
Case 1:
5x + 10 >= 15
x + 2 >=3
x >= 1
-------------
Case 2:
-5x - 10 >= 15
-x - 2 >= 5
-x >= 7
x <= -7
------
-inf <= x <= -7 and 1 <= x <= inf


Expressions-with-variables/626291: what is 1+1
1 solutions

Answer 394085 by Alan3354(30993) About Me  on 2012-07-06 15:16:31 (Show Source):
You can put this solution on YOUR website!
what is 1+1
==============
You have a great future in comedy.
That was reallly funny.


Graphs/626247: I have a linear graph. Y= 4 and X= -4. what is the estimate of f(2)

1 solutions

Answer 394071 by Alan3354(30993) About Me  on 2012-07-06 13:42:21 (Show Source):
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I have a linear graph. Y= 4 and X= -4. what is the estimate of f(2)
-----------------
What is the function?


Linear_Algebra/626254: if (a,10) is a point of the graph of y=x^2-3^x, what is a
1 solutions

Answer 394068 by Alan3354(30993) About Me  on 2012-07-06 13:19:54 (Show Source):
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if (a,10) is a point of the graph of y=x^2-3^x, what is a
-----------------
x^2-3^x = 10
a = -3.1671477 by graphing


Problems-with-consecutive-odd-even-integers/626205: the square root of the sum of two consecutive integers is equal to 9 find the smaller integer
1 solutions

Answer 394056 by Alan3354(30993) About Me  on 2012-07-06 11:28:12 (Show Source):
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the square root of the sum of two consecutive integers is equal to 9 find the smaller integer
-------------
9^2 = 81
---
81/2 = 40.5, the center
--> 40 & 41
=================
9, 40 & 41 is a Pytharorean triple


Equations/626194: Find the equation of a line which has (-4,0) and (0,2) x and y intercept respestively
1 solutions

Answer 394055 by Alan3354(30993) About Me  on 2012-07-06 11:19:47 (Show Source):
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Find the equation of a line which has (-4,0) and (0,2) x and y intercept respestively
------------------
For intercepts (A,0) & (0,B), it's
Bx + Ay = A*B
2x - 4y = -8
x - 2y = -4


Linear_Algebra/626224: if the hand of the clock is 10 cm long how far will it move within 1 hour

1 solutions

Answer 394051 by Alan3354(30993) About Me  on 2012-07-06 10:52:05 (Show Source):
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if the hand of the clock is 10 cm long how far will it move within 1 hour
==========================
Do it like this one:
the hand of the clock is 2 cm how far will it move within 1 hour
------------
1 hour = 1/12 of a revolution = 30 degs, or pi/6 radians.
----
Arc length = r*angle
= 2*(pi/6) cm
= pi/3 cm
=~ 1.047 cm


Equations/626240: correct or incorrect and tell why
-2(a-3)=6
-2a-6=6

1 solutions

Answer 394050 by Alan3354(30993) About Me  on 2012-07-06 10:50:25 (Show Source):
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correct or incorrect and tell why
-2(a-3)=6
-2a-6=6
----------
incorrect
(-2)*(-3) = +6, not -6


Proportions/626228: if y=-5 when x=25,find x when y=45
1 solutions

Answer 394049 by Alan3354(30993) About Me  on 2012-07-06 10:49:21 (Show Source):
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if y=-5 when x=25,find x when y=45
------------
You have to know the relationship between x & y.
x could be y^2
x could be y + 30
x could be -5y
etc


Linear-systems/626238: how do you solve the system algebraically
5x + 2y = 10
3x + 2y = 6
1 solutions

Answer 394048 by Alan3354(30993) About Me  on 2012-07-06 10:46:49 (Show Source):
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how do you solve the system algebraically
5x + 2y = 10
3x + 2y = 6
------------- Subtract


Travel_Word_Problems/626239: if a plane traveling 300 mph is 350 ahead of a second plane traveling 400 mph, how long will it take for the second plane to catch the first one
1 solutions

Answer 394047 by Alan3354(30993) About Me  on 2012-07-06 10:45:57 (Show Source):
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if a plane traveling 300 mph is 350 ahead of a second plane traveling 400 mph, how long will it take for the second plane to catch the first one
--------------
If it's 350 miles ahead:
The 2nd plane is gaining on the 1st at 100 mi/hr (400 - 300)
350/100 = 3.5 hours


Geometry_proofs/626186: GIVEN: LINE PA IS TANGENT TO THE CIRCLE WITH CENTER O; PROVE: TRIANGLE APB ~ TRIANGLE CPA
1 solutions

Answer 394043 by Alan3354(30993) About Me  on 2012-07-06 10:33:57 (Show Source):
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GIVEN: LINE PA IS TANGENT TO THE CIRCLE WITH CENTER O; PROVE: TRIANGLE APB ~ TRIANGLE CPA
----------------
Where is point B?


Miscellaneous_Word_Problems/626222: the hand of the clock is 2 cm how far will it move within 1 hour

1 solutions

Answer 394042 by Alan3354(30993) About Me  on 2012-07-06 10:32:02 (Show Source):
You can put this solution on YOUR website!
the hand of the clock is 2 cm how far will it move within 1 hour
------------
1 hour = 1/12 of a revolution = 30 degs, or pi/6 radians.
----
Arc length = r*angle
= 2*(pi/6) cm
= pi/3 cm
=~ 1.047 cm


Bodies-in-space/626141: a toy boat has a scale of 1:40 to an actual boat. If the mast on the toy boat weighs 216 Grams, how many metric tons does the actual boat's mast weigh?
I converted the 216 grams to 0.000216 ton and used the following equation:
1:40 = 0.000216:x to get an answer of .00864 metric tons.
This does not look right. Please help
1 solutions

Answer 394006 by Alan3354(30993) About Me  on 2012-07-05 21:46:06 (Show Source):
You can put this solution on YOUR website!
a toy boat has a scale of 1:40 to an actual boat. If the mast on the toy boat weighs 216 Grams, how many metric tons does the actual boat's mast weigh?
--------------
216*40 = 8640 grams
= 8.64 kg
= 0.00864 metric tons
You answer is correct.
=========================
The scale of models is based on linear measurements, not weights.
Model makers have no interest in the weights.


Triangles/626113: A tennis ball is served from a height of 8 feet and just clears the net that is 3 feet high. The server is 40 feet from the net. If the ball travels in a straight path, how far on the other side of the net does the ball land.
I have sketched this but can't see how to calculate the distance from where the net hits the ground at the 40 ft. to where the ball hits the ground.
Your help would be much appreciated.
Thanks
1 solutions

Answer 394005 by Alan3354(30993) About Me  on 2012-07-05 21:42:25 (Show Source):
You can put this solution on YOUR website!
A tennis ball is served from a height of 8 feet and just clears the net that is 3 feet high. The server is 40 feet from the net. If the ball travels in a straight path, how far on the other side of the net does the ball land.
-----------------
8 - 3 = 5 ft (ht above the net)
5/40 = 3/d
5d = 120
d = 24 feet


Sequences-and-series/626123: 746392?
1 solutions

Answer 393989 by Alan3354(30993) About Me  on 2012-07-05 19:41:37 (Show Source):


Travel_Word_Problems/626139: This is not a homework question.
I am trying to figure out how many laps I have to walk to equal a mile at the local park. The sign says one lap around equals .42 mile. I was thinking if I walk 2 1/2 laps that would be a mile, is this true?
1 solutions

Answer 393988 by Alan3354(30993) About Me  on 2012-07-05 19:39:25 (Show Source):
You can put this solution on YOUR website!
I am trying to figure out how many laps I have to walk to equal a mile at the local park. The sign says one lap around equals .42 mile. I was thinking if I walk 2 1/2 laps that would be a mile, is this true?
---------------
1/0.42 =~ 2.3809 laps
---
2.5 laps * 0.42 = 1.05 miles


Numbers_Word_Problems/626128: If the product of six integers is an odd integer, exactly how many of these integers must be odd?
1 solutions

Answer 393984 by Alan3354(30993) About Me  on 2012-07-05 18:31:01 (Show Source):
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If the product of six integers is an odd integer, exactly how many of these integers must be odd?
---------------
6


Linear-equations/626127: what is the discriminant in the quadratic formula called?
if the discriminant in the quadratic formula is a perfect square, then the quadratic equation will have how many solutions?



1 solutions

Answer 393983 by Alan3354(30993) About Me  on 2012-07-05 18:29:23 (Show Source):
You can put this solution on YOUR website!
what is the discriminant in the quadratic formula called?
----------
?? It's called the discriminant.
-------------------
if the discriminant in the quadratic formula is a perfect square, then the quadratic equation will have how many solutions?
2


Circles/626125: Can a circle be inscribed in a square?
1 solutions

Answer 393982 by Alan3354(30993) About Me  on 2012-07-05 18:24:36 (Show Source):
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Can a circle be inscribed in a square?
--------
Yes, it can. They'll have the same center, and the diameter of the circle = the length of the side of the square.


Average/626103: If I currently have an 87.6% in my Stats class, and my homework is 10% of my grade... my four tests are 40% total of my grade, my project is 10% of my grade, and my final is 40% of my grade what do I need to get on my final to have a B average?
Or what they consider a 1.7 in the class? I am not sure what that means...
1 solutions

Answer 393979 by Alan3354(30993) About Me  on 2012-07-05 16:36:02 (Show Source):
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If I currently have an 87.6% in my Stats class, and my homework is 10% of my grade... my four tests are 40% total of my grade, my project is 10% of my grade, and my final is 40% of my grade what do I need to get on my final to have a B average?
------------------
What % is a B average?


test/626068: they crowded into the room until 1/3/4 as many as were needed were in the arena,how many were needed
1 solutions

Answer 393978 by Alan3354(30993) About Me  on 2012-07-05 16:28:28 (Show Source):
You can put this solution on YOUR website!
they crowded into the room until 1/3/4 as many as were needed were in the arena,how many were needed
---------------
What?


Polynomials-and-rational-expressions/626098: I would like someone to double check my work because something just does seem right to me.1. The cost, in millions of dollars, to remove x % of pollution in a lake is modeled by 6000+20(x)/300-3(x) . Hint: Example, if x%=30%, then use x=30 in the C formula (do not convert x to a decimal)
a. What is the cost to remove 65% of the pollutant?(show work)
C= 6000+20(65)/300-3(65)
=7300/105
C=69.5
It would cost around 69.5 million dollars to remove 65% of the pollutant in the lake.
b. What is the cost to remove 85% of the pollutant?(show work)
C=6000+20(85)/300-3(85)
=7700/45
C=171.1
It would cost 171.1 million dollars to remove 85%of the pollutant in the lake.
c. What is the cost to remove 98% of the pollutant?(show work)
C=6000+20(98)/300-3(98)
=7960/6
C=1326 (rounded)
I(t would cost 1326 million dollars to remove 98% of the pollutant in the lake.
d.For what value is this equation undefined?(show work)

1 solutions

Answer 393977 by Alan3354(30993) About Me  on 2012-07-05 16:26:52 (Show Source):
You can put this solution on YOUR website!
The cost, in millions of dollars, to remove x % of pollution in a lake is modeled by 6000+20(x)/300-3(x) . Hint: Example, if x%=30%, then use x=30 in the C formula (do not convert x to a decimal)
a. What is the cost to remove 65% of the pollutant?(show work)
C= 6000+20(65)/300-3(65)
=7300/105
C=69.5
It would cost around 69.5 million dollars to remove 65% of the pollutant in the lake.
b. What is the cost to remove 85% of the pollutant?(show work)
C=6000+20(85)/300-3(85)
=7700/45
C=171.1
It would cost 171.1 million dollars to remove 85%of the pollutant in the lake.
c. What is the cost to remove 98% of the pollutant?(show work)
C=6000+20(98)/300-3(98)
=7960/6
C=1326 (rounded)
I(t would cost 1326 million dollars to remove 98% of the pollutant in the lake.
--------------
Your answers are correct.
--------------
d.For what value is this equation undefined?(show work)
It's undefined if the denominator = zero, which is removing 100%
----------
300 - 3x = 0
x = 100 --> undefined


Miscellaneous_Word_Problems/626076: 4 students must be chose for a soccer team their are 15 boys and 15 girls how many ways can they be chosen?
1 solutions

Answer 393976 by Alan3354(30993) About Me  on 2012-07-05 16:08:04 (Show Source):
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4 students must be chose [sic] for a soccer team their [sic] are 15 boys and 15 girls how many ways can they be chosen?
-----------
The 1st one is 1 of 30.
Then 1/29, 1/28, 1/27
= 30*29*28*27
= 657720


Equations/626075: write a formula to express each of the followinf relationships
1. find three consecutive numbers whose sum is 72
1 solutions

Answer 393975 by Alan3354(30993) About Me  on 2012-07-05 16:05:48 (Show Source):
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1. find three consecutive numbers whose sum is 72
---------
72/3 = 24, the middle number
-------
(n-1) + n + (n+1) = 72
3n = 72
n = 24


Linear-equations/626100: find two points that satisfy -x=-3
1 solutions

Answer 393974 by Alan3354(30993) About Me  on 2012-07-05 16:03:53 (Show Source):
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find two points that satisfy -x=-3
--------
x = 3
----
(3,0)
(3,10)
----
(3,y) for any value of y