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Rational-functions/269728: The formula t=2pie square root of L over 9.8 can be used to estimate the number of seconds t it takes a pendulum of lenth L meters to make one complete swing. Graph the equation on a graphing calculator. Then use the graph to estimate the values of t for pendulums of lengths 1.5 meters and 2.5 meters. 1 solutions
Answer 197645 by Alan3354(31538) on 2010-02-15 09:22:25 (Show Source):
You can put this solution on YOUR website!The formula t=2pie square root of L over 9.8 can be used to estimate the number of seconds t it takes a pendulum of lenth L meters to make one complete swing. Graph the equation on a graphing calculator. Then use the graph to estimate the values of t for pendulums of lengths 1.5 meters and 2.5 meters.
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It's the Greek letter pi, not the dessert, pie.
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 t in seconds, L in meters
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t =~ 0.785 seconds
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Length-and-distance/269609: In navigational terms, a bearing is defined as the number of degrees a direction is from due north clockwise. If a plane flying 120 mph has flown 1 hour at a bearing of 32°, how far has it flown in a horizontal direction? 1 solutions
Answer 197589 by Alan3354(31538) on 2010-02-14 20:04:27 (Show Source):
You can put this solution on YOUR website!Horizontal is a bearing of 090º = due east
The angle with the horizontal is 90 - 32 = 58º
Horizontal distance = 120*cos(58)
=~ 63.59 miles
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The terminology used is not good. Plane flight that is not vertical (changing in altitude) is horizontal, regardless of heading.
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Mixture_Word_Problems/269614: a chemist wants to make 50ml of a 16% acid solution by mixing a 13% acid solution and an 18% acid solution. how many ml of each solution should the chemist use?
i set up the equation as followed but i dont know if it is correct
.16(20)= .13x +.18x,
then i got 3.2=.05x
then i divided and got 64 ml
x=64ml
mvprincess_87@yahoo.com 1 solutions
Answer 197587 by Alan3354(31538) on 2010-02-14 20:00:25 (Show Source):
You can put this solution on YOUR website!a chemist wants to make 50ml of a 16% acid solution by mixing a 13% acid solution and an 18% acid solution. how many ml of each solution should the chemist use?
i set up the equation as followed but i dont know if it is correct
.16(20)= .13x +.18x,
then i got 3.2=.05x
then i divided and got 64 ml
x=64ml
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64 is more than 50
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.16*50 = .13*x + .18*(50-x)
800 = 13x + 900 - 18x
-100 = -5x
x = 20 ml of 13%
30 ml of 18%
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Linear-systems/269393: Biking into the wind on a flat path, a bicyclist takes 5 hours to travel 30 miles. The return bike takes 3 hours. The wind speed remains constant during the trip.
a. Find the bicyclist's average speed for each leg of the trip.
b. Write a system of linear equations that represent the situation.
c. What is the bicyclist's average speed in still air? What is the speed of the wind? 1 solutions
Answer 197583 by Alan3354(31538) on 2010-02-14 19:55:56 (Show Source):
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Equations/269564: (6/y+4)+1=(5/2y+8)
I thought that the next step would look like:
6(2y+8)+(y+4)(2y+8)=5(y+4) but the answer in the back of the book does not
correspond with this once I finish solving it.
The final answer should be -15/2. 1 solutions
Answer 197549 by Alan3354(31538) on 2010-02-14 17:20:51 (Show Source):
You can put this solution on YOUR website!6/y+4)+1=(5/2y+8)
I thought that the next step would look like:
6(2y+8)+(y+4)(2y+8)=5(y+4) but the answer in the back of the book does not
correspond with this once I finish solving it.
The final answer should be -15/2.
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The DEN of the right side is 2x the one on the left.
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6/y+4)+1=(5/2y+8)
Multiply all terms by the right side DEN 2y+8
12 + 2y+8 = 5
2y + 20 = 5
2y = -15
y = -15/2
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Rectangles/269523: I have a rectangle with four un known angles and one measure of 106 degrees. What are the measures of the other four angles? 1 solutions
Answer 197534 by Alan3354(31538) on 2010-02-14 15:53:19 (Show Source):
You can put this solution on YOUR website!There's no way to know, unless you mean the sum of the other 4.
If so, the sum of the angles of a polygon with 5 sides and 5 angles is 540º
The other 4 would add to 434º
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test/269433: What is the length of an aluminum rod at 65°C if its length at 15°C is 1.2 meters?
A. 0.001386 meter
B. 0.00180 meter
C. 1.201386 meters
D. 1.214855 meters
1 solutions
Answer 197469 by Alan3354(31538) on 2010-02-14 12:20:26 (Show Source):
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test/269432: A quantity of gas has a volume of 0.20 cubic meter and an absolute temperature of 333 degrees kelvin. When the temperature of the gas is raised to 533 degrees kelvin, what is the new volume of the gas? (Assume that there's no change in pressure.)
A. 0.0006 m3
B. 0.2146 m3
C. 0.2333 m3
D. 0.3198 m3
1 solutions
Answer 197465 by Alan3354(31538) on 2010-02-14 12:14:22 (Show Source):
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test/269436: A wave with a period of 0.008 second has a frequency of
A. 12.5 Hz.
B. 80 Hz.
C. 125 Hz.
D. 800 Hz.
1 solutions
Answer 197463 by Alan3354(31538) on 2010-02-14 12:10:40 (Show Source):
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test/269438: If a wave hits a smooth surface at an angle of incidence of 40 degrees, the angle of reflection is
A. 0 degrees.
B. 40 degrees.
C. 80 degrees.
D. 90 degrees
1 solutions
Answer 197462 by Alan3354(31538) on 2010-02-14 12:10:05 (Show Source):
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Equations/269364: A number consist of two digit whose sum is 5. When the digits are reversed, tne number becomes greater by 9.Find the number: 1 solutions
Answer 197434 by Alan3354(31538) on 2010-02-14 09:01:15 (Show Source):
You can put this solution on YOUR website!A number consist of two digit whose sum is 5. When the digits are reversed, tne number becomes greater by 9.Find the number:
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It has to be 14 or 23
It's 23
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The difference when you reverse digits is always a multiple of 9.
1*9
2*9
3*9
4*9 etc
The multiplier of 9 is the difference between the digits.
eg, for 37, the difference is 4, so 4*9 will be the change when the digits are reversed.
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For your problem, the multiplier of 9 is 1, so the difference between the digits is 1.
That makes the problem simpler:
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The sum of the digits is 5
The difference of the digits is 1
u + t = 5
u - t = 1
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2u = 6
u = 3
t = 2
--> 23
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The long way:
10t + u = 10u + t - 9
t + u = 5
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9t - 9u = -9
t - u = -1
t + u = 5
2t = 4
t = 2
u = 3
--> 23
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