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Partial derivatives |
2009-01-17 |
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From Meghan:
I have a question I've been working at for a while with maxima/minima of partial derivatives.
"Postal rules require that the length + girth of a package (dimensions x, y, l) cannot exceed 84 inches in order to be mailed.
Find the dimensions of the rectangular package of greatest volume that can be mailed.
(84 = length + girth = l + 2x + 2y)"
Answered by Harley Weston. |
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How far is the airplane from the control tower? |
2009-01-17 |
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From Murtaza:
An aircraft is vertically above a point which is 10 km west and 15 km north of a control tower. The aircraft is 4000 m above the ground, how far is it from the control tower?
Answered by Penny Nom. |
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The whole number that precedes a number w+3 |
2009-01-17 |
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From Morgan:
write a variable expression for
"The whole number that precedes a number w+3"
Answered by Penny Nom. |
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A 28 week golf schedule |
2009-01-17 |
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From Don:
You have a 12 man golf schedule playing 8 weeks. Can you
go further and make it a 28 week schedule. 3 foursomes. any help would be greatly appreciated.
Answered by Victoria West. |
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Fuel in a tank |
2009-01-16 |
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From Steve:
I am not a math expert and want help seeing how much fuel is in a tank at one given time the tank that i have is 27 inches round. It is 69 inches long. laying length ways. it holds 140 gallons of fuel at fill up. I do know that it would hold less at the bottom of the tank an more in the center. Is there anybody that could just give me the figures by the inch without a formula. thanks for your time
Answered by Stephen La Rocque. |
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Problem solving with fractions |
2009-01-16 |
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From Linda:
Sam and Mary each owned one-half stock in a printing company. Sam sold 2/5 of his stock to Mary. What fractional part of the printing business does Mary now own?
Answered by Stephen La Rocque. |
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Parallel distances from arc of circle to its chord |
2009-01-16 |
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From Roger:
Give the length of a chord of a circle and the height of the arc, how do I
find the lengths of equally spaced parallel lines drawn from the chord to
the arc. (Think of the lengths of vertical slats in an arch-topped bed head
board.)
Answered by Chris Fisher and Stephen La Rocque. |
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A golf trip with 12 golfers |
2009-01-16 |
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From Brad:
I am organizing a golf trip with 12 golfers. We will play 5 rounds (3 foursomes each round)
total and play two 9 holes matches per round (18holes). So two matches are created within each foursome. What are the possible combinations of foursomes so that everyone plays each other at least once with the least number of repeat matches?
For example: Here are the foursomes for round 1:(1,2,3,4) (5,6,7,8) (9,10,11,12)
match 1 round 1: 1vs2, 3vs4, 5vs6, 7vs8, 9vs10,11vs12
we can not split foursomes up for the second match (9 hole matches):
So match 2 round 1: 1vs3, 2vs4,5vs7,6vs8,9vs11,10vs12
Answered by Victoria West. |
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Solve for x |
2009-01-16 |
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From maritza:
5=3(x-2)=
Answered by Penny Nom. |
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0.0708 lbs per linear yard |
2009-01-16 |
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From Kevin:
If I know that my product is .0708lbs per linear yard how do I calculate how many Linear yards are in a lb?
Answered by Penny Nom. |
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An expression for q quarters and n nickles |
2009-01-16 |
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From Morgan:
a variable expression for:
"The value in cents of q quarters and n nickels"
Answered by Penny Nom. |
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Segments of a sphere |
2009-01-16 |
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From Herman:
How do I solve for a segment of a sphere so that the orange peel or pie shaped section is converted to a flat surface with dimensions. I form large diameter domes, elliptical and sphere heads on a press. I enter the diameter say 30 feet with two segments above and below the equator and the total number of segment around the circumference at say 18 so the widest part of the pie shaped section will fit my press. How do I take the upper or lower course above or below the equator and figure the height of the orange peel shape, the chord length at top and bottom, and solve for the right angle at 2 degree increments down the arc length of the pieces so I can layout the flat plates prior to pressing. Thanks for your help.
Answered by Robert Dawson. |
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A line is perpendicular to another line |
2009-01-16 |
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From Greg:
A line is perpendicular to the line y=2x+3 and has the same x-intercept as x+3y+10.
Find the equation of this line. Express your answer in the form of y=mx+b. Justify your answer.
Answered by Robert Dawson. |
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Saving for his daughter's education |
2009-01-15 |
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From George:
To save for his daughter’s university education at the end of each month Mr McLean sets aside £50 in a savings scheme paying 10% p.a. compounded monthly. He begins saving when his daughter is 3 years old. How much will he have saved by the time his daughter is 18?
Answered by Harley Weston. |
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Multiplying negative numbers |
2009-01-15 |
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From stephanie:
hi, I'm currently working in a grade 8 class where the students are
learning about integers. the students were asked to find examples of how
integers are applied in real life. they were able to find aplications for:
adding and subtracting both positive and negative integers. however,
we could not find an example of where two negative integers would be
either divided or multiplied together in real life. For example: (-2)(-4)= +8.
please help.
Answered by Harley Weston. |
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