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A quadratic function word problem |
2007-11-12 |
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From liz: A kernal of popcorn contains water that expands when the kernal is heated,
causing it to pop. The equations below give the "popping volume"y(in cubic centimeters per gram)
of popcorn with moisture content x(as a percent of the popcorn's weight).
hot air popping: y = -0.761x^2 + 21.4x-94.8
hot oil popping: y = -0.652x^2 + 17.7x -76.0
A) for hot air popping, what moisture content maximizes popping volume? What is the maximum volume?
B) For hot oil popping, what mositure content maximizes popping volume? What is the maximum volume?
C) the moisture content of popcorn tyipcally ranges from 8% to 18%. Graph the equations for hot air and hot oil popping on the interval 8 less then or equal to x and less then or equal to 18.
D) Based on the graphs from part(c), what general statement can you make about the volume of popcorn produced from hot air popping verus hot oil popping for any moisture content in the interval8 less then or equal to x and less then or equal to 18. Answered by Penny Nom. |
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8^2+64^2 |
2007-11-12 |
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From Daniel: I am having trouble factoring equations like 8^2+64^2, I just don't know
the correct steps to get the answer. Answered by Penny Nom. |
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The range of a function |
2007-11-12 |
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From Camille: Hi There,
I am taking a calculus class by correspondence and part of the introduction is
learning how to find domain and range of functions. I understand how to find the
domain. I also understand that if you find the inverse of the equation and
solve for x to find the domain it will give you the range because the domain
of the inverse is equivalent to the range of the original equation. However when
trying to apply this method to complicated questions (ie: square root in the
denominator) I get confused and can't solve for x.
Camille Answered by Harley Weston. |
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The sequence 3,12,26,45.... |
2007-11-12 |
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From Tra: I can seem to find the realtionship in these sequence of numbers, I am looking for the next three. How can I determine that, I have tried everything??!!!
3,12,26,45.... Answered by Penny Nom. |
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6 consecutive multiples of 6 |
2007-11-11 |
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From jeff: find 6 consecutive multiples of 6 whose sum is the least common multiple of 13 and 18 Answered by Penny Nom. |
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A ten digit number |
2007-11-11 |
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From jeff: find the greatest ten-digit positive multiple of 12 using each digit once and only once Answered by Penny Nom. |
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A mole of hydrogen peroxide |
2007-11-11 |
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From John: i need to get a mole of hydrogen peroxide, which i know is 34g, but i don't have a way to measure grams, so do you know how many mililiters i need to have 34g of hydrogen peroxide. Thanks for all the help Answered by Stephen La Rocque. |
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Stopping distance and speed |
2007-11-11 |
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From Joanna: The algebraic relation d=0.0056^2 ++ 0.14s models the relation between a vehicle's stopping distance d, in metres, and its speed s, in kilometres per hour.
(a) What is the fastest you could drive and still be able to stop within 80 m?
(b) What is the stopping distance for a car travelling at 120 km/h?
(c) Estimate the length of an average car. How many car lengths does the the stopping distance in (b) correspond to? Answered by Stephen La Rocque. |
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Prime factorization |
2007-11-11 |
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From jeff: find the prime factorization and use exponential notation for 432 Answered by Penny Nom. |
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How do i convert milliliters to grams for water and also for copper sulfate (CuSO4)? |
2007-11-11 |
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From jenn: how do i convert milliliters to grams for
water and also for copper sulfate (CuSO4)? Answered by Harley Weston. |
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A normal distribution problem |
2007-11-11 |
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From Jenny: I am a part-time student so that i have no time to ask the lecturer. moreover the book which i borrowed from state library don't have any answer. but i have already done with most of the question. but these three question which i attached is really confusing me. i am very glad that you help me. Answered by Harley Weston. |
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Cones and pyramids |
2007-11-10 |
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From Eric: I have a question regrading the differences between a cone and a pyramid.
In my son's Maths workbook, a cone is always referred to as a pyramid,
which confuses me very much. I understand that a pyramid is a special case of a
cone and therefore you can refer a pyramid as a cone but not the other way around.
Am I correct? Answered by Harley Weston. |
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The radius of an arch |
2007-11-10 |
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From Mark: How do you determine the raduis or diameter of a circle based on the folowing information:
1. The distance along the circle between two points is 35'-2". This creates an arch.
2. The (chord) distance between the two points is 30'-8".
3. The distance from the center of the chord (on a 90 degree) to the arch is 6'-10 3/4". Answered by Harley Weston. |
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Binomial probability |
2007-11-10 |
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From areej: In any table of binomial probability with n trials, why is it that the probabilities for k=n are not tabulated??? Answered by Harley Weston. |
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KWH and MWH |
2007-11-10 |
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From Julie: Please provide the conversion of MWH to KWH or vice-versa. thanks Answered by Penny Nom. |
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