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Alan3354 answered: 30973 problems
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If the rider stops pedaling, the wheel starts to slow down. Each minute it will rotate only 2/3 as many times as in the preceding minute. how many times will the wheel rotate in the 4th minute after the rider's feet leaves the pedals? Round your answer to the nearest unit.
1 solutions
Answer 397348 by Alan3354(30993)   on 2012-07-23 14:10:22 (Show Source):
You can put this solution on YOUR website!a bicycle wheel rotates 300 times in a minute as long as the rider is pedaling. If the rider stops pedaling, the wheel starts to slow down. Each minute it will rotate only 2/3 as many times as in the preceding minute. how many times will the wheel rotate in the 4th minute after the rider's feet leaves the pedals? Round your answer to the nearest unit.
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The 1st minute it rotates 300*(2/3) = 200 revs
The 2nd it's 2/3 times that, etc
--> 300*(2/3)^4
= 4800/81
=~ 59 revs
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Linear-equations/631121: Having trouble converting a standard equation into y-intercept form. the equation is 4x=15-x No y value is given. Please help
1 solutions
Answer 397345 by Alan3354(30993) on 2012-07-23 14:06:37 (Show Source):
You can put this solution on YOUR website!Having trouble converting a standard equation into y-intercept form. the equation is 4x=15-x No y value is given.
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4x=15-x
x = 3 is the equation.
It's parallel to the y-axis, often called vertical.
There is no y-intercept since it's parallel.
x = 3 or x - 3 = 0 is all there is.
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Permutations/630972: My question has to do with gambling. Lets say i chose 5 football matches. There is what we call combination i.e accumulation of matches for higher returns. So lets say i wanna combine 3 matches together out of the 5 matches, in how many different combo can i achieve this without repetition? Thank you.
1 solutions
Answer 397240 by Alan3354(30993) on 2012-07-22 23:06:33 (Show Source):
You can put this solution on YOUR website!Lets say i chose 5 football matches. There is what we call combination i.e accumulation of matches for higher returns. So lets say i wanna combine 3 matches together out of the 5 matches, in how many different combo can i achieve this without repetition?
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The 1st is 1 of 5, then 1 of 4, 1 of 3
--> 5*4*3 = 60 (if I understood correctly)
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Travel_Word_Problems/630956: Bill walks 6.25 km in 1 hour and 15 minutes, then runs 9 km in 45 minutes. What is the Bill's average rate of speed for the distance he traveled?
1 solutions
Answer 397234 by Alan3354(30993) on 2012-07-22 22:43:16 (Show Source):
You can put this solution on YOUR website!Bill walks 6.25 km in 1 hour and 15 minutes, then runs 9 km in 45 minutes. What is the Bill's average rate of speed for the distance he traveled?
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Add the distances, add the times.
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d = r*t
r = d/t
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Quadratic_Equations/630962: if discriminant is greater than 0,then two solutions are present.which one of the two solutions is preferable ? and why ?
1 solutions
Answer 397233 by Alan3354(30993) on 2012-07-22 22:42:20 (Show Source):
You can put this solution on YOUR website!if discriminant is greater than 0,then two solutions are present.which one of the two solutions is preferable ? and why ?
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1st I've heard about that.
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logarithm/630964: Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places) log8 (70)
1 solutions
Answer 397232 by Alan3354(30993) on 2012-07-22 22:41:24 (Show Source):
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expressions/630958: I have just begun and want to make sure I'm doing this right
I get a little confused with the plus and minus back and forth
-5(a + 3b) – 2(4a – 4b)
1 solutions
Answer 397230 by Alan3354(30993) on 2012-07-22 22:28:47 (Show Source):
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Mixture_Word_Problems/630882: a yard that backs onto a river so that only three sides to be fenced and you have 68m of fencing , how much fencing do u need?
1 solutions
Answer 397221 by Alan3354(30993) on 2012-07-22 20:45:24 (Show Source):
You can put this solution on YOUR website!a yard that backs onto a river so that only three sides to be fenced and you have 68m of fencing , how much fencing do u need?
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How big is the yard?
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Volume/630922: How many gallons of water are in a pond that measures 25 ft long, by 25 ft wide, by 5 ft deep?
1 solutions
Answer 397220 by Alan3354(30993) on 2012-07-22 20:43:57 (Show Source):
You can put this solution on YOUR website!How many gallons of water are in a pond that measures 25 ft long, by 25 ft wide, by 5 ft deep?
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Vol = 25*25*5 cubic ft
1 cu ft =~ 7.48 gallons
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Percentage-and-ratio-word-problems/630933: You must show two equations you need to write as well as all steps to solve the problem.
a chemist has two acid solutions in stock: one that is 40% solution and the other 60% solution. How much of each solution should be mixed to obtain 100ml of a 45% solution? (show work)
1 solutions
Answer 397218 by Alan3354(30993) on 2012-07-22 20:29:27 (Show Source):
You can put this solution on YOUR website!a chemist has two acid solutions in stock: one that is 40% solution and the other 60% solution. How much of each solution should be mixed to obtain 100ml of a 45% solution?
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f = amount of 40%
s = amount of 60%
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f + s = 100 (total solution)
40f + 60s = 45*100 (total acid)
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Surface-area/630894: How do you find the volume of a cylinder whose height is 2 m and whose base has an area of 9 pi m square
1 solutions
Answer 397205 by Alan3354(30993) on 2012-07-22 19:28:22 (Show Source):
You can put this solution on YOUR website!How do you find the volume of a cylinder whose height is 2 m and whose base has an area of 9 pi m square
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Vol = area*height
= 18 pi cubic meters
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Trigonometry-basics/630900: liam's grandfather's clock has a pendulum that moves from its central position at rest according to the trigonometris function P(t)-3.5sin(pi/2 t) where t represents the time in seconds does it take the pendulum to complete one full cycle from rest at the center to the left and then to the right and back to the rest??
(1)1 second
(2)2 second
(3)3.5 second
(4)4 seconds
1 solutions
Answer 397204 by Alan3354(30993) on 2012-07-22 19:27:08 (Show Source):
You can put this solution on YOUR website!liam's grandfather's clock has a pendulum that moves from its central position at rest according to the trigonometris function P(t)-3.5sin(pi/2 t) where t represents the time in seconds does it take the pendulum to complete one full cycle from rest at the center to the left and then to the right and back to the rest??
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4 seconds
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Trigonometry-basics/630910: the voltage of E of an alternating current electrical circuit can be represented by the sinusoidal function E=220cos(pi t) where E is measured in volts and t is measured in seconds. how long does it take the alternating current to complete one cycle?
(1)1 second
(2)2 second
(3)pi seconds
(4)220 seconds
1 solutions
Answer 397201 by Alan3354(30993) on 2012-07-22 19:19:21 (Show Source):
You can put this solution on YOUR website!the voltage of E of an alternating current electrical circuit can be represented by the sinusoidal function E=220cos(pi t) where E is measured in volts and t is measured in seconds. how long does it take the alternating current to complete one cycle?
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2 seconds
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Permutations/630852: 5 students are trying out for a team. only 3 students are needed. in how may ways can 3 students be chosen from the 5?
1 solutions
Answer 397197 by Alan3354(30993) on 2012-07-22 17:02:18 (Show Source):
You can put this solution on YOUR website!5 students are trying out for a team. only 3 students are needed. in how may ways can 3 students be chosen from the 5?
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5*4*3 = 60
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�t�e�s�t/630840: Pre-Calculus.
Linear Velocity
Pre-calculus/Trig. "Linear velocity"
Suppose that there are two carousels at the same amusement park. Carousel A has a radius of 5m and rotates with an angular velocity w=pi/8(rad/sec). Carousel B has radius 7.5 and w=pi/9(rad/sec).
Riding a horse on which of these would cause a park guest to experience the greatest linear velocity?
1 solutions
Answer 397187 by Alan3354(30993) on 2012-07-22 15:39:51 (Show Source):
You can put this solution on YOUR website!Suppose that there are two carousels at the same amusement park. Carousel A has a radius of 5m and rotates with an angular velocity w=pi/8(rad/sec). Carousel B has radius 7.5 and w=pi/9(rad/sec).
Riding a horse on which of these would cause a park guest to experience the greatest linear velocity?
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B is larger, and rotates faster, so it's LV is greatest.
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�t�e�s�t/630687: find the volume of the bounded area of y=x^2 and y=2-x^2 about x=2
1 solutions
Answer 397165 by Alan3354(30993) on 2012-07-22 12:56:49 (Show Source):
You can put this solution on YOUR website!find the volume of the bounded area of y=x^2 and y=2-x^2 about x=2
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Find the area under y = 2-x^2 and above the x-axis:
INT = 2x - x^3/3
Evaluate from -1 to 1
@1 --> 2 - 1/3
@-1 --> -2 + 1/3
-------------- Subtract
Area = 4 -2/3 = 10/3
======================
From that, subtract the area under y = x^2 from -1 to +1 [-1 and +1 are the intersections of the 2 curves]
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INT = x^3/3
Area = 1/3 - (-1/3) = 2/3
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Area between curves = 8/3 sq units
The 2 curves are symmetrical, so the centroid of the area is (0,1)
Use the Theorem of Pappus to find the volume:
Vol = 2pi*distance to centroid*area
Vol = 2pi*2*8/3 cubic units
Vol = 32pi/3 cubic units
=~ 33.51 CU
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Travel_Word_Problems/630686: if a car traveling at a rate of 55 mi/hr ,how many minutes would it to take to travel 2.5?
1 solutions
Answer 397164 by Alan3354(30993) on 2012-07-22 12:37:04 (Show Source):
You can put this solution on YOUR website!if a car traveling at a rate of 55 mi/hr ,how many minutes would it to take to travel 2.5?
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60 mi/hr = 1 mi/minute
55 mi/hr = 55/60 mi/min = 11/12 mi/min
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d = r*t
t = d/r = 2.5/(11/12) = 30/11 minutes
=~ 2.727 minutes
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Polynomials-and-rational-expressions/630736: 1.(x+y+1)²
2.(x+y-1)²
3.(x-y-1)²
4.(-x-y-1)²
question:
what is the direct of switching the + sign to -sign on the product?
1 solutions
Answer 397163 by Alan3354(30993) on 2012-07-22 12:28:48 (Show Source):
You can put this solution on YOUR website!1.(x+y+1)²
2.(x+y-1)²
3.(x-y-1)²
4.(-x-y-1)²
question:
what is the direct of switching the + sign to -sign on the product?
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1. = x^2 + 2xy + y^2 + 2x + 2y + 1
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Multiply the others, compare them
#4 = #1
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