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Alan3354 answered: 30963 problems
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test/473396: 42 miles per hour cover 17 miles in how many seconds?
1 solutions

Answer 324660 by Alan3354(30983) About Me  on 2011-07-23 14:54:40 (Show Source):


Mixture_Word_Problems/473346: ferdie's car uses 15 liters of gasoline to travel 200 km.at that rate,how much gasoline will his car use to travel 300 km ?
1 solutions

Answer 324626 by Alan3354(30983) About Me  on 2011-07-23 11:13:57 (Show Source):
You can put this solution on YOUR website!
It's 1.5 times as far.
15 * 1.5 = 22.5 liters


Trigonometry-basics/473348: Can you solve this problem for me? I'm kinda' having difficulties how to solve it.
For a circle of radius 600 ft., find, in radians, the central angle subtended by an arc of length a) 1200 ft. ; b) 600 ft. ; c) 100 ft. ; d) K ft.
1 solutions

Answer 324621 by Alan3354(30983) About Me  on 2011-07-23 11:02:46 (Show Source):
You can put this solution on YOUR website!
For a circle of radius 600 ft., find, in radians, the central angle subtended by an arc of length a) 1200 ft. ; b) 600 ft. ; c) 100 ft. ; d) K ft.
Arc = radius*angle (in radians)
a) 1200 ft
2 radians
----------
b) 600 ft
1 radian
--------
c) 100 ft
1/6 radian
-----------
d) K ft
K/600 radians


Circles/473373: Find the equation of circle having centre at origin and passing through point (a,b).
1 solutions

Answer 324620 by Alan3354(30983) About Me  on 2011-07-23 10:59:44 (Show Source):
You can put this solution on YOUR website!
Distance from the Origin to (a,b) is the radius
r%5E2+=+a%5E2+%2B+b%5E2
--> x%5E2+%2B+y%5E2+=+a%5E2+%2B+b%5E2


Quadratic_Equations/473213: What is the probability of receiving a 6 or a 9 from a deck of 52 cards and an ace or a king?
suppose to be a percent answer

1 solutions

Answer 324618 by Alan3354(30983) About Me  on 2011-07-23 10:58:13 (Show Source):
You can put this solution on YOUR website!
What is the probability of receiving a 6 or a 9 from a deck of 52 cards and an ace or a king?
suppose to be a percent answer
-------------------
A 6 or a 9 --> 8/52 = 2/13
An ace or a king is the same = 2/13
-------------
For both, it's the product = 4/169
=~ 2.37%


Travel_Word_Problems/473361: If driving at 51 MpH, one covers 18 miles in how many seconds?

1 solutions

Answer 324616 by Alan3354(30983) About Me  on 2011-07-23 10:51:51 (Show Source):


Travel_Word_Problems/473371: driving at 37 mph, one covers 18 miles in how many seconds

1 solutions

Answer 324615 by Alan3354(30983) About Me  on 2011-07-23 10:51:31 (Show Source):


Sequences-and-series/473145: 2. * * * * * * * * * * * *
* * * * * * * ?
* * * * * *
* * * * *

1 solutions

Answer 324511 by Alan3354(30983) About Me  on 2011-07-22 18:23:12 (Show Source):
You can put this solution on YOUR website!
Do you have a question?


Linear-equations/473190: The equation h=-16t^-64t+250 (i used the symbol ^ to represent t squared) gives the height of a ball, thrown
downward from the top of a 250-ft building with an initial velocity of 64 ft/s.
Find the time it takes for the ball to reach a height of 100 ft. Round your answer
to the nearest thousandth.
Thank you in advance for your hardwork.

1 solutions

Answer 324510 by Alan3354(30983) About Me  on 2011-07-22 18:22:16 (Show Source):
You can put this solution on YOUR website!
The equation h=-16t^-64t+250 (i used the symbol ^ to represent t squared) gives the height of a ball, thrown
downward from the top of a 250-ft building with an initial velocity of 64 ft/s.
Find the time it takes for the ball to reach a height of 100 ft. Round your answer
to the nearest thousandth.
-----------
Use ^2 for squared, ^3 for cubed, etc.
--------------------
h(t) = -16t^2-64t+250 = 100
8t^2 + 32t - 75 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 8x%5E2%2B32x%2B-75+=+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=%2832%29%5E2-4%2A8%2A-75=3424.

Discriminant d=3424 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-32%2B-sqrt%28+3424+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%2832%29%2Bsqrt%28+3424+%29%29%2F2%5C8+=+1.65718470958195
x%5B2%5D+=+%28-%2832%29-sqrt%28+3424+%29%29%2F2%5C8+=+-5.65718470958195

Quadratic expression 8x%5E2%2B32x%2B-75 can be factored:
8x%5E2%2B32x%2B-75+=+%28x-1.65718470958195%29%2A%28x--5.65718470958195%29
Again, the answer is: 1.65718470958195, -5.65718470958195. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B32%2Ax%2B-75+%29

----------------
t = 1.657 seconds
Ignore the negative answer.


Triangles/473199: Find the perimeter of a triangular region with side lengths 13 ft, 15 ft, and 11 ft.
1 solutions

Answer 324509 by Alan3354(30983) About Me  on 2011-07-22 18:18:05 (Show Source):
You can put this solution on YOUR website!
Hint: Add those numbers.


Triangles/473200: Find Y as a correct nearest integer. 7 is one side and 40 degrees is the angle.
1 solutions

Answer 324508 by Alan3354(30983) About Me  on 2011-07-22 18:16:47 (Show Source):
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Not enough info.


Percentage-and-ratio-word-problems/473211: solve by the elimination method:
2r-3s= -14
3r+2s=18
1 solutions

Answer 324504 by Alan3354(30983) About Me  on 2011-07-22 18:00:16 (Show Source):
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solve by the elimination method:
2r-3s= -14
3r+2s = 18
-----------------
Multiply the 1st eqn by 2 and the 2nd eqn by 3, then add them.
4r-6s = -28
9r+6s = 54
-------------- Add


Percentage-and-ratio-word-problems/473210: find the slope, if it exists, of the line containing the pair of points:
(5,4) and (9,-10) =
1 solutions

Answer 324501 by Alan3354(30983) About Me  on 2011-07-22 17:56:06 (Show Source):
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find the slope, if it exists, of the line containing the pair of points:
(5,4) and (9,-10) =
---------------------------------
slope m = diffy/diffx
-----------
(5,+4)
(9,-10)
-------- Subtract
-4,14
Difference in y = 14
Difference in x = -4
m = 14/-4 = -7/2 = -3.5


logarithm/473207: how do you calculate 2 ln(8)+log(16)/log(100)-ln(10) on a calculator?
1 solutions

Answer 324500 by Alan3354(30983) About Me  on 2011-07-22 17:53:05 (Show Source):
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how do you calculate 2 ln(8)+log(16)/log(100)-ln(10) on a calculator?
-------------
There are differences in the keys for different calculators, so there's no single answer.
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log(100) = 2, btw
You need to add parentheses to clarify what's in the numerator and the denominator, regardless of what type of calculator you use.


Graphs/473179: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?
1 solutions

Answer 324492 by Alan3354(30983) About Me  on 2011-07-22 17:23:21 (Show Source):
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The faster gains on the slower runner at 4 m/sec (10 - 6)
(Or, the speed of the faster runner relative to the slower is 4 m/sec)
70 m/4 m/sec = 17.5 seconds


Travel_Word_Problems/473203: Driving at 52 MpH, one covers 18 miles in how many seconds?
1 solutions

Answer 324491 by Alan3354(30983) About Me  on 2011-07-22 17:20:19 (Show Source):


test/473170: How do you know when to add
1 solutions

Answer 324488 by Alan3354(30983) About Me  on 2011-07-22 16:53:06 (Show Source):


Triangles/473183: In a certain triangle, one of the angles has a measure of 94°. If the triangle is isosceles, then which of the following could be the measures of the two other angles?
1 solutions

Answer 324471 by Alan3354(30983) About Me  on 2011-07-22 16:20:45 (Show Source):
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Nothing follows, but it's 43 degrees.


Finite-and-infinite-sets/473182: what is trainagle

1 solutions

Answer 324469 by Alan3354(30983) About Me  on 2011-07-22 16:20:00 (Show Source):
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A triangle is a closed plane figure (flat) with 3 sides that are straight lines.


Rectangles/473043: A rectangle has 70m length and 50m wide.if the area of the rectangle is 1024,what will be its width?
1 solutions

Answer 324446 by Alan3354(30983) About Me  on 2011-07-22 15:23:41 (Show Source):
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A rectangle has 70m length and 50m wide.if the area of the rectangle is 1024,what will be its width?
--------------
If it's 70 by 50 the area is 70*50 = 3500 sq meters.
The area is not 1024, so there's no if.


Permutations/473157: There are eight members in a club. In how many different ways can a president, vice president, and treasurer be chosen?


1 solutions

Answer 324443 by Alan3354(30983) About Me  on 2011-07-22 15:20:01 (Show Source):
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8*7*6 = 336 ways


Radicals/473158: How do I solve for x in the equation: +x+=+2+%2A+sqrt%28x%29+-1
1 solutions

Answer 324442 by Alan3354(30983) About Me  on 2011-07-22 15:18:58 (Show Source):
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+x+=+2+%2A+sqrt%28x%29+-1
x+%2B+1+=+2sqrt%28x%29
Square
x%5E2+%2B+2x+%2B+1+=+4x
x%5E2+-+2x+%2B+1+=+0
%28x-1%29%5E2+=+0
x = 1, 1
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Rational-functions/473155: I just dont get it 9m +n=62 and m-5n=12 what is the solution of the system?
1 solutions

Answer 324440 by Alan3354(30983) About Me  on 2011-07-22 15:13:31 (Show Source):
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9m +n=62 and m-5n=12 what is the solution of the system?
-----------------
m-5n=12 --> m = 5n + 12
Sub for m in the 1st eqn
9m +n=62
9(5n+12) + n = 62
45n+108 + n = 62
46n = - 46
n = -1
-------
m = 5n + 12
m = 7
That's one way to do it.


Inequalities/473150: solve by graphing x-y=6
x+y=8
1 solutions

Answer 324426 by Alan3354(30983) About Me  on 2011-07-22 14:22:27 (Show Source):
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dl the FREE graph software at
http://www.padowan.dk
-------
Use F6 to enter the equations.


Human-and-algebraic-language/473111: Three consecutive odd integers are such that the square of the third integer is 15 more than the sum of the squares of the first two. Find the integers.
1 solutions

Answer 324403 by Alan3354(30983) About Me  on 2011-07-22 12:23:19 (Show Source):
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Three consecutive odd integers are such that the square of the third integer is 15 more than the sum of the squares of the first two. Find the integers.
-------------------
The numbers are x, x+2 and x+4
x%5E2+%2B+%28x%2B2%29%5E2+=+%28x%2B4%29%5E2+-+15
2x%5E2+%2B+4x+%2B+4+=+x%5E2+%2B+8x+%2B+1
x%5E2+-+4x+%2B+3+=+0
(x - 1)*(x - 3) = 0
x = 1 --> 1, 3 & 5
x = 3 --> 3, 5 & 7
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Trigonometry-basics/473051: in triangle abc a=47, b= 8, what is c?
in triangle fgh angle f=32 angle g=100 what is angle h?
1 solutions

Answer 324402 by Alan3354(30983) About Me  on 2011-07-22 11:46:00 (Show Source):
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in triangle abc a=47, b= 8, what is c?
Not enough data.
--------------------
in triangle fgh angle f=32 angle g=100 what is angle h?
The sum of the 3 angles is 180.
h = 180 - (100 + 32)
h = 48 degs


Quadratic-relations-and-conic-sections/473052: find the equation of circle passing thriugh the focus of the parabola and foci of the ellipse

1 solutions

Answer 324401 by Alan3354(30983) About Me  on 2011-07-22 11:43:03 (Show Source):
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What parabola and ellipse?


Triangles/473069: a right triangle has area 42 ,, how to find base and height
1 solutions

Answer 324396 by Alan3354(30983) About Me  on 2011-07-22 10:20:22 (Show Source):
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Area = bh/2 = 42
base * ht = 84
----------------


Travel_Word_Problems/473101: How many seconds does it take to drive 18 miles at a speed of 53 mph?
1 solutions

Answer 324394 by Alan3354(30983) About Me  on 2011-07-22 10:13:59 (Show Source):


Travel_Word_Problems/473099: Driving at 44 miles per hour, one covers 17 miles in how long?
1 solutions

Answer 324393 by Alan3354(30983) About Me  on 2011-07-22 10:09:10 (Show Source):


Points-lines-and-rays/472963: Which equation of the line has a y-intercept of 6 and parallel to y= -1/2x + 2?
1 solutions

Answer 324309 by Alan3354(30983) About Me  on 2011-07-21 21:39:17 (Show Source):
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y = (-1/2)x + 6