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x^x^x^x^... |
2004-01-23 |
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From Ryan:
you have a number say x and it is to the power of x which is to the power of x and so on infinite times like x^x^x^x^x^x^x^... i have to figure out what x is so that the answer is always 2
Answered by Penny Nom. |
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A counterfeit coin |
2004-01-23 |
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From Kim:
You are considering buying 45 silver coins that look alike, but you have been told that one of the coins is a lightweight counterfeit. Find the least number of weighings on a balance scale that you can use to be certain you have found the counterfeit coin?
Answered by Penny Nom. |
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g on Mars |
2004-01-22 |
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From RC:
To measure the acceleration on Mars an object is dropped from a height of 160m. It takes 10s for this object to hit the ground. What is the value for g on Mars?g
Answered by Penny Nom. |
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A game with some strings |
2004-01-22 |
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From Trudy:
A boy holds 6 pieces of strings in his hands with the ends protruding above and below. The top ends are tied together in pairs and then the lower ends are tied together in pairs. What is the probabilty that the pieces of string are all joined in one loop?
What is the probability of obtaining two loops?
Can you generalise this to solve the problem for 2n blades of grass?
Answered by Andrei Volodin and Penny Nom. |
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BEDMAS |
2004-01-21 |
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From Jessica and her mom:
my mom and I were wondering 2 things.
1. what is the reason for having bedmas.
2. 5+5-4+[6x3-(6+1-3x2) -5+9]
Answered by Penny Nom. |
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A problem with sets |
2004-01-20 |
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From Jason:
Given that the universal set S is the set of all sports fans, and
F={x|x is a football fan}
B={x|x is a basketball fan}
H={x|x is a hockey fan}
a)Describe (F^B)' (f intersect b)' in words
b)Draw a Venn Diagram and shade the region that represents the set of football fans or both basketball and hockey fans.
Answered by Penny Nom. |
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What is the speed of the automobile? |
2004-01-20 |
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From Rita:
An automobile travels toward Nashville from Cookeville. It takes 33 minutes to travel from Cookeville to Manchester, which is a 36 mile distance. If the driver continues at this pace, what is the speed of the automobile?
Answered by Penny Nom. |
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A parabolic arch |
2004-01-19 |
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From Teresa and Robyn:
A bridge over a river is supported by a parabolic arch...arch is 200 m wide at water level...the maximum height of the arch is 80 m..what is the height of the arch measured from a point on the water 40m from the centre of the arch
Answered by Penny Nom. |
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The product of any n consecutive integers |
2004-01-18 |
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From Fazia:
I have to prove that the product of any n consecutive integers is divisible by n!(eg:the product of five consecutive integers is divisible by 5!) It's easy enough to plug in numbers and prove it is true, but i'm finding it difficult to come up with a proper proof.
Answered by Claude Tardif. |
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Combinations of 12 numbers |
2004-01-18 |
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From Cheryl:
I would like to know the total possible combinations using the numbers 1-12. We would also like to know the formula used to calculate the number of combinations.
Answered by Harley Weston. |
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Cubic yards in a concrete wall |
2004-01-18 |
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From Danny:
I am studing for my contractors exam. I am haveing truble with a few questions. I have the answer to the problems but I dont know how to get them my self.
please help
How many cu. Yds. Of concrete are in a wall that is 150' long and 8'4" high an d 8' thick
Answered by Penny Nom. |
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Some trig problems |
2004-01-18 |
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From Weisu:
I have some questions about pre-calculus.
(1) (2(cos(x))^2)+3sin(x)-1=0
(2) sin(x)cos(x)=(1/2)
(3) 3sin(x)=1+cos(2x)
(4) tan(x)*csc(x)=csc(x)+1
(5) sin(arccsc(8/5))
(6) tan(arcsin(24/25))
(7) arccos(cos(11pi/6))
the last problem uses radian measure.
Answered by Penny Nom. |
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Two consecutive negative integers |
2004-01-17 |
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From Amanda:
Find two consecutive negative intergers whose product is 182.
Answered by Penny Nom. |
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Six letter words |
2004-01-17 |
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From Debora:
An anthropologist discovers an isolated tribe whose written alphabet contains only six letters (call the letters A, B, C, D, E, and F). The tribe has a taboo against using the same letter twice in the same word. It's never done. If each different sequence of letters constitutes a different work in the language, what is the maximum number of six- letter words that the language can employ?
Answered by Penny Nom. |
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Arrays of pennies |
2004-01-17 |
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From Kathleen:
How do I create an array of 100 pennies?
Answered by Penny Nom. |
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