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"Less than" and "less than or equal to". |
2006-11-15 |
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From Ross:
7 ≤ 10 and 7 ≤ 7 are both true statements. How can 7 be equal to 10, and 7 be less than 7? The book doesn't explain WHY!
Answered by Penny Nom. |
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The domain of a function |
2006-11-15 |
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From April:
Determine the domain of the function h(x) = 4x/x(x^2-49)
Answered by Stephen La Rocque. |
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Sigma from 0 to infinity of (n^3 / 3^n) |
2006-11-15 |
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From Cedric:
I'm wondering how you would find if this series converges or diverges?
Sigma from 0 to infinity of (n^3 / 3^n)
Does the n^3 dominate, or does the 3^n dominate? What about higher powers like n^10 / 10 ^ n ? Which one would dominate then?
Answered by Penny Nom. |
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-3x squared + 5x -2=0 |
2006-11-14 |
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From Stacey:
my son has a problem I am trying to figure out
neg 3x squared + 5x -2=0
Answered by Stephen La Rocque. |
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The fraction 2/3 is found between which pair of fractions on the number line? |
2006-11-14 |
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From Anita:
How can i find the answer? What is the formula? The fraction 2/3 is found between which pair of fractions on the number line? A.3/7 and 4/8 B. 1/2 and 3/7 C. 6/7 and 9/8 D. 3/5 and7/9
Answered by Steve La Rocque and Diane Hanson. |
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The grade of a highway |
2006-11-14 |
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From Nancy:
If a portion of highway has a grade or slope of 12%, and the length of this portion is approximately 1.1 miles, what is the change in elevation from the top of the grade to the bottom of the grade in feet?
Answered by Stephen La Rocque and Penny Nom. |
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How to show my work when I simplify this 2 - 2[4 - 9] ÷ (-5)? |
2006-11-14 |
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From Remada:
How to show my work when I simplify this 2 - 2[4 - 9] ÷ (-5)
Answered by Penny Nom. |
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Motorcycle expansion chamber design |
2006-11-14 |
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From David:
I'm interested in calculating cone information regarding motorcycle expansion chamber design for example. I guess it's called a truncated cone, from what I've read so far. If I know the center line height, small radius, and large radius of a truncated cone then, how can I calculate the angle (included angle?) the cone forms? I'd like to know the variations of the formula so I can calculate for angle, or length, or one of the diameters if I know the other two measurements.
Answered by Stephen La Rocque. |
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The units digit of 1^5 + 2^5 + ... + 2006^5 |
2006-11-14 |
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From Lana:
Compute the unit's digit of :
1 to the power of 5 + 2 to the power of 5 + 3 to the power of 5 + 4 to the power of 5 + 5 to the power of 5 + 6 to the power of 5 + ... + 2006 to the power of 5 .
Answered by Stephen La Rocque and Penny Nom. |
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The empty set is a subset of every set |
2006-11-14 |
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From Narayana:
The empty set is a subset of every set
Answered by Stephen La Rocque and Penny Nom. |
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How high is the satellite above the earth? |
2006-11-13 |
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From Naomi:
If the linear speed of a satellite in synchronous orbit is 1000 mi/h, how high is the satellite above the earth?
Answered by Stephen La Rocque. |
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Apples and plums |
2006-11-13 |
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From Saif:
the problem i am stuck with is, nicole buys 2.3kg apples 1.8kg plums she pays £7.18 total plums cost £2.20per kg cost 1kg apples what is the cost of 1kg of apples
Answered by Stephen La Rocque. |
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The name of an equation |
2006-11-13 |
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From Lee:
I am struggling to find the name of the following equation. I remember watching a TV programme introduced by Arthur C Clarke. The programme focused on an equation that gave a wonderful pattern that went on into infinity. Two maths professors discussed this equation.It was described as 'Gods equation' as it was compared to the shape of trees and other shapes in nature. It was named after the inventor/discoverer. If you have any ideas i would be most grateful.
Answered by Penny Nom. |
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A system of equations |
2006-11-13 |
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From Katrina:
solve the system of equations using either the substitution or the elimination method. 2x-3y= -12 and -4x+6y=15
Answered by Penny Nom. |
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Some applications of conic sections |
2006-11-13 |
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From Burt:
how are circles, ellipses, and hyperbolas used in everyday life
Answered by Penny Nom. |
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