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Alan3354 answered: 30973 problems
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Age_Word_Problems/633766: how to calculate 1/7th of 5 years

1 solutions

Answer 399119 by Alan3354(30993) About Me  on 2012-08-01 11:23:57 (Show Source):
You can put this solution on YOUR website!
how to calculate 1/7th of 5 years
-------
(1/7)*5 = 5/7 years


Volume/633763: find the volume of a sphere 16ft in diameter use 3.14 as pie and round your answer to the nearest tenth

1 solutions

Answer 399110 by Alan3354(30993) About Me  on 2012-08-01 11:08:20 (Show Source):
You can put this solution on YOUR website!
find the volume of a sphere 16ft in diameter use 3.14 as pie and round your answer to the nearest tenth
---------
r = 8 ft
Vol+=+4%2Api%2Ar%5E3%2F3


Quadratic_Equations/633640: I need help with a few problems that I have been working on but I can't seem to get exactly what it is I need, which is understanding how to work these problems and show my work. Please and thank you for any help you can offerme at this time.

Problem # 1: In this problem it asks to find the vertex, the line symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=1/3(x+6)^2+4.
Problem # 2: Find the variation constant and equation of variation where y varies directly as x and y=12 when x=2.
Problem #3: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. sq rt u-sq rt /sq rt u+sq rt v
Problem #4: Convert to decimal notation. 8.91*10^7
Problem #5: In a right triangle, find the length of the side not given. b=1, c=sq rt 10. The third length of the third side is?



1 solutions

Answer 399043 by Alan3354(30993) About Me  on 2012-07-31 23:22:38 (Show Source):
You can put this solution on YOUR website!
Problem # 1: In this problem it asks to find the vertex, the line symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=1/3(x+6)^2+4.
This is in standard form, y = a(x-h)^2 + k, where (h,k) is the vertex, and x = h is the LOS.
-----
The minimum is at the vertex, (h,k) = (-6,4).
==================================================
Problem # 2: Find the variation constant and equation of variation where y varies directly as x and y=12 when x=2.
y = kx
12 = 2k
k = 6
===================
Problem #3: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. sq rt u-sq rt /sq rt u+sq rt v
Multiply NUM and DEN by the conjugate of the DEN, sqrt%28u%29+-+sqrt%28v%29
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The NUM has a missing term, probably is sqrt(v)
--> %28sqrt%28u%29-sqrt%28v%29%29%5E2%2F%28u-v%29
You can expand the NUM, or not.
--------------------------------
Problem #4: Convert to decimal notation. 8.91*10^7
Move the DP 7 places to the right, adding zeroes as needed.
= 89100000
===============
Problem #5: In a right triangle, find the length of the side not given. b=1, c=sq rt 10. The third length of the third side is?
If c is the hypotenuse, then
a%5E2+%2B+1+=+10
a = 3


Signed-numbers/633623: I haven't been in school for over 30 years. I am studying the compass test but find that I am having some difficulty remembering algebra. for example : which of the following is a factor of x^2 -5x -6. I'm not clear on the x. What do you do to find what x is? Thanks. If i can get an understanding of that it might help me.
1 solutions

Answer 399026 by Alan3354(30993) About Me  on 2012-07-31 22:01:49 (Show Source):
You can put this solution on YOUR website!
which of the following is a factor of x^2 -5x -6. I'm not clear on the x. What do you do to find what x is?
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x^2 -5x -6
Look for two factors of 6. It's either 1*6 or 2*3, those two possibilities.
The signs are different, since it's -6.
And, the difference is 5, since it's 5x.
---
Only 1 & 6 differ by 5.
--> (x + 1)*(x - 6)
=====================
That's all there is to do. You can't solve for x, it's not an equation.


Equations/633600: 25x=x^2
1 solutions

Answer 399008 by Alan3354(30993) About Me  on 2012-07-31 21:16:36 (Show Source):
You can put this solution on YOUR website!
25x=x^2
x^2 - 25x = 0
x*(x - 25) = 0
x = 0
x = 25


Probability-and-statistics/633530: suppose
1 solutions

Answer 399007 by Alan3354(30993) About Me  on 2012-07-31 21:15:09 (Show Source):
You can put this solution on YOUR website!
suppose
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Equations/633564: Hello, I need help solving this equation.
5 + 6x^2 - 2x^2 - 6y + 3y=
1 solutions

Answer 398991 by Alan3354(30993) About Me  on 2012-07-31 18:57:41 (Show Source):
You can put this solution on YOUR website!
Hello, I need help solving this equation.
5 + 6x^2 - 2x^2 - 6y + 3y=
----------
There's nothing on the right side, so it's not an equation.
Nothing to solve.


Circles/633566: If p-5 is equal to the radius of a circle. What is the area of the circle.
1 solutions

Answer 398989 by Alan3354(30993) About Me  on 2012-07-31 18:51:03 (Show Source):
You can put this solution on YOUR website!
If p-5 is equal to the radius of a circle. What is the area of the circle.
-------
Area+=+pi%2Ar%5E2+=+pi%2A%28p-5%29%5E2


Exponents/633532: (4xy)^-7/8 rewrite the expression with positive exponents
1 solutions

Answer 398976 by Alan3354(30993) About Me  on 2012-07-31 17:02:59 (Show Source):
You can put this solution on YOUR website!
(4xy)^-7/8 rewrite the expression with positive exponents
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= 1%2F%284xy%29%5E%287%2F8%29
-----------
= %284xy%29%5E%281%2F8%29%2F%284xy%29
= root%288%2C4xy%29%2F%284xy%29


Triangles/633502: Tom drops a rock off the edge of a 324 foot cliff. The height of the rock after t seconds is given by h = -16t2 + 324. How long until the rock hits the ground below? Round your answer to the nearest tenth of a second.

1 solutions

Answer 398975 by Alan3354(30993) About Me  on 2012-07-31 16:58:06 (Show Source):
You can put this solution on YOUR website!
Tom drops a rock off the edge of a 324 foot cliff. The height of the rock after t seconds is given by h = -16t2 + 324. How long until the rock hits the ground below? Round your answer to the nearest tenth of a second.
--------------
At impact, h = 0
-16t%5E2+%2B+324+=+0
Solve for t, ignore the negative solution.


Numbers_Word_Problems/633427: What is the smallest no that is when divided by 3,4 and 5 it has a remainder of 2?
1 solutions

Answer 398909 by Alan3354(30993) About Me  on 2012-07-31 11:16:11 (Show Source):
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What is the smallest no that is when divided by 3,4 and 5 it has a remainder of 2?
=========
3*4*5 + 2 = 62


Age_Word_Problems/633428: i am a 4 digit number if i will get reversed i will become a 3 digit number.what is the answer?
1 solutions

Answer 398901 by Alan3354(30993) About Me  on 2012-07-31 10:34:22 (Show Source):
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i am a 4 digit number if i will get reversed i will become a 3 digit number.what is the answer?
------------
Any 4 digit number with a units digit = 0 and the 10s digit not = 0.


Travel_Word_Problems/633439: If I drove for 1.5 hours at an average speed of 62 mph and then drove another half hour at an average speed of 24mph. How far did I drive?
1 solutions

Answer 398899 by Alan3354(30993) About Me  on 2012-07-31 10:32:31 (Show Source):
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If I drove for 1.5 hours at an average speed of 62 mph and then drove another half hour at an average speed of 24mph. How far did I drive?
================
d = r*t
d = 1.5*62 + 0.5*24 miles


logarithm/633392: Hi, pleas help me solve this problem:
Use logarithms to solve the equation symbolically
ln x + ln x^2 = 5

1 solutions

Answer 398889 by Alan3354(30993) About Me  on 2012-07-31 09:56:16 (Show Source):
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Use logarithms to solve the equation symbolically
ln x + ln x^2 = 5
-------------
Adding logs --> multiplication
ln(x^3) = 5
x%5E3+=+e%5E5
x+=+e%5E%285%2F3%29


Travel_Word_Problems/633423: Ratio of angular speed of moon around the earth to the speed of moon around its own axis is ?
a. 1:2
b. 2:1
c. 5:1
d. 1:1
1 solutions

Answer 398876 by Alan3354(30993) About Me  on 2012-07-31 09:08:20 (Show Source):
You can put this solution on YOUR website!
Ratio of angular speed of moon around the earth to the speed of moon around its own axis is ?
a. 1:2
b. 2:1
c. 5:1
d. 1:1
=============
d
We always see the same side of the moon.


Expressions-with-variables/633357: P= gw/g+w solve for w
1 solutions

Answer 398836 by Alan3354(30993) About Me  on 2012-07-30 22:33:33 (Show Source):
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P= gw/g+w solve for w
--------
P*(g+w) = gw
Pg + Pw = gw
Pw - gw = -Pg
w*(g - P) = Pg
w = Pg/(g - P)


Linear_Equations_And_Systems_Word_Problems/633279: solve
16x^4+47x^2=3
1 solutions

Answer 398835 by Alan3354(30993) About Me  on 2012-07-30 22:31:19 (Show Source):
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solve
16x^4+47x^2=3
----------------
16x%5E4%2B47x%5E2-3+=+0
%2816x%5E2+-+1%29%2A%28x%5E2+%2B+3%29+=+0
Can you finish it?


Quadratic_Equations/633337: Please shed some light on finding the solution.
If Emily hits a golf ball from the upper deck of a driving range (twelve feet above the ground) with an initial velocitynof 117 feet per second, after how many seconds should the ball land (assume her ball does not encounter any obstacles)? Round to the nearest tenth.
1 solutions

Answer 398834 by Alan3354(30993) About Me  on 2012-07-30 22:26:08 (Show Source):
You can put this solution on YOUR website!
If Emily hits a golf ball from the upper deck of a driving range (twelve feet above the ground) with an initial velocitynof 117 feet per second, after how many seconds should the ball land (assume her ball does not encounter any obstacles)? Round to the nearest tenth.
------------
If it's path is horizontal, it's the time it takes it to fall 12 feet.
h(t) = -16t^2 + 12 = 0
t^2 = 3/4
t = sqrt(3)/2 seconds
t =~ 0.866 seconds
----------------
If it's some other angle, the angle has to be given.


Triangles/633330: "Find the area of a triangle with side lengths 18 and 20 and included angle 6 degree."
1 solutions

Answer 398813 by Alan3354(30993) About Me  on 2012-07-30 20:27:47 (Show Source):
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"Find the area of a triangle with side lengths 18 and 20 and included angle 6 degree."
---------
Area = bh/2
h = 18*sin(6) (or 20*sin(6))


Graphs/633329: Can you please help me out on question 442728? I really appreciate your help, email on galuvaa72@yahoo.com. Thank you

1 solutions

Answer 398812 by Alan3354(30993) About Me  on 2012-07-30 20:21:39 (Show Source):
You can put this solution on YOUR website!
Can you please help me out on question 442728? I really appreciate your help, email on galuvaa72@yahoo.com. Thank you
--------
That question is not accessible.


�t�e�s�t/633293: Solve the following two equations:
8y = 7x
-2x = 6y
Select one:
(-2,6)
(7,-2)
(8,7)
(0,0)
1 solutions

Answer 398791 by Alan3354(30993) About Me  on 2012-07-30 18:39:07 (Show Source):
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8y = 7x --> x = 8y/7
-2x = 6y --> x = -3y
---------
x = y = 0


test/633296: Hello
1 solutions

Answer 398786 by Alan3354(30993) About Me  on 2012-07-30 18:26:33 (Show Source):


logarithm/633304: 3^x^2*3^4=3^-5x
1 solutions

Answer 398785 by Alan3354(30993) About Me  on 2012-07-30 18:25:46 (Show Source):
You can put this solution on YOUR website!
3^x^2*3^4=3^-5x
-----------
3%5E%28x%5E2%2B4%29+=+3%5E%28-5x%29
x^2 + 4 = -5x
etc


Numbers_Word_Problems/633282: The smallest of 5 consecutive even whole numbers is 32.What is the average of the 5 numbers?
1 solutions

Answer 398781 by Alan3354(30993) About Me  on 2012-07-30 17:35:47 (Show Source):
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The smallest of 5 consecutive even whole numbers is 32.What is the average of the 5 numbers?
-------------
36
It's not hard to figure out.


Sequences-and-series/633283: I need help figuring out how to solve this.
It is an infinite series, 1+3+9+27+81+243+...= -1/2
I need to prove that this infinite series equals -1/2.
1 solutions

Answer 398780 by Alan3354(30993) About Me  on 2012-07-30 17:34:45 (Show Source):
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I need help figuring out how to solve this.
It is an infinite series, 1+3+9+27+81+243+...= -1/2
I need to prove that this infinite series equals -1/2.
-----------
It obviously does not = -1/2.
Why would it be negative?
The 1st term is > -1/2


expressions/633121: x-2y=-4
1 solutions

Answer 398678 by Alan3354(30993) About Me  on 2012-07-30 10:50:03 (Show Source):
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x-2y=-4
----------
Do you have a question?


Travel_Word_Problems/633131: If a bus traveled 68 miles in 3 hours, how many feet would the bus
have traveled per hour?
1 solutions

Answer 398677 by Alan3354(30993) About Me  on 2012-07-30 10:48:59 (Show Source):


Travel_Word_Problems/633137: If a bus traveled 68 miles in 3 hours, how many feet would the bus have traveled per hour?
1 solutions

Answer 398676 by Alan3354(30993) About Me  on 2012-07-30 10:48:12 (Show Source):
You can put this solution on YOUR website!
If a bus traveled 68 miles in 3 hours, how many feet would the bus have traveled per hour?
----------
68 miles *(5280 ft/mile)/(3 hr)
just calculator work


Travel_Word_Problems/633125: On a trip to the beach, you traveled 200 miles in 300 minutes. How fast did you travel?
1 solutions

Answer 398673 by Alan3354(30993) About Me  on 2012-07-30 10:22:15 (Show Source):
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On a trip to the beach, you traveled 200 miles in 300 minutes. How fast did you travel?
-------------
200 mi/300 mins = 2/3 mi/minute


Travel_Word_Problems/633110: if car a and car b left at the same time with car a at the speed of 160kph and car b at 186kph, how long will i wait for?
1 solutions

Answer 398669 by Alan3354(30993) About Me  on 2012-07-30 09:16:39 (Show Source):
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if car a and car b left at the same time with car a at the speed of 160kph and car b at 186kph, how long will i wait for?
-----------------
What are you waiting for?


Probability-and-statistics/633115: If two cards are drawn from a pack, what is the probaility that:
They are of the same suit
1 solutions

Answer 398668 by Alan3354(30993) About Me  on 2012-07-30 09:15:27 (Show Source):
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If two cards are drawn from a pack, what is the probaility that:
They are of the same suit
-----------------
After the 1st card is drawn, there are 12 of that suit out of 51 cards
12/51 = 4/17