How to find how much weight it takes to tip over something?

Its for a math project.
An example would be if there was a log in the river. I jump on the log and it tips over, causing me to fall into the river.
Is there a equation for this, anywhere I can learn this?

Answer: 
If the centre of gravity is higher than the centre of buoyancy it will tip. To figure both out you will need to know the shapes of the objects.

How to do an increment conversion from Fahrenheit to Celsius?

I Googled it and cannot find the answer anywhere. Remember, I need an increment conversion, NOT scale.

Please provide an example equation.

Answer: 
degrees F x 5/9 -32 = degrees C 53.6 degrees x 5/9 -32 F = 12 degrees C Fun fact: -40 is the only temperature that remains the same when you convert it between Celsius and Fahrenheit

How to subtract fractions when second numerator is bigger than first?

For example if you had 24/4 - 28/4 how would you write the answer?

Answer: 
there are 2 ways 1) solve the fraction then go for the subtraction. 24/4 = 6,28/4 = 7 6-7 = -1 2)subtract then go for the fraction solving 24/4-28/4 here the denominators are same so you can directly do the subtraction,24/4-28/4 = (24-28)/4= -4/4 =-1 but if the denominators are different for eg : like 3/4 - 5/6 now follow a vedic math method do cross multiplication hat is (6(3) - 4(5))/4(6) i.e. product of denominator and numerator lying cross divided by product of denominators.(18-20)24 -2/24 = -1/12 = -0.833333.... but always remember if the second numerator is big it does not mean the number is great it also depends on the denominator for eg : see the nos. 1/2 and 123621/15643221 in the first no. numerator is small and the solution is 0.5 whereas in the second no. numerator is big but denominator is bigger giving to a solution 0.0079025.. hope it helps.

How to identify if a set of data is a function?

Is it correct that if you graph the set of the data and use a vertical line test, that is a way to identify if a set of data is a function?

Are there any other simpler ways to identify it?

Answer: 
On a graph, a function will pass the VLT. In a set of data points given as ordered pairs (a,b) each 'a' will have only one value of 'b' A) example of a function (1,5), (2,7) (-3, 5) (0, 5) B) example of NOT a function (1,5), (2,7) (-3, 5) (-3, 6) notice that when x = -3, y = 5 and 6. This violates the rule "for each value of x, there is at most one value of y" You can quickly graph the data points (pretty easy) then apply the Vertical Line Test. Do this with examples A & B above. Now can you tell just by looking at the data points whether you have a function or not? I hope this helps!

How to isolate the variable a in this equation?

If I have the equation ax = mg - ay and I wanted to solve for a by isolating it on the left side of the equation, how would I do that?

Answer: 
ac = mg - ay Get all terms with "a" on one side by adding ay to both sides. ac + ay = mg Factor out the "a" a(c + y) = mg Divide by (c + y) a = mg/(c + y)

How to find the remainder in a calculator in division?

I wanna know how to find the remainder on a calculator.

Answer: 
23 / 7 = 3.28571428571; subtract the 3 and multiply by 7...result is 2 , remainder as a whole number all done on the calculator

How to proof this summation if it converges or diverges by Comparision test?

∞En=1 3n/(n^3 +1)

E is summation
n=1 means starting with the first term 1
∞means the summation goes to infinity.

Thanks a lot for the help.

Answer: 
Σ { n = 1 . .......} 3n / [ n^3 + 1] < Σ { n = 1 , ...} 3 / n² which is a convergent " p series '

How to solve this equation, using the Distributive method in Algebra?

1/2 x +3 (1/4 x +3) = 4

would you multiple the entire equation by 4 (lcm?)

Thanks in advance. My professor is an a** that refuses to teach these concepts. Instead, when a question is asked, he screams that if we knew our timetables, this would be easy. Sigh.

Answer: 
First distribute the 3. 1/2x + 3/4x + 9 = 4 Subtract 9. 1/2x + 3/4x = -5 1/2x is the same thing as 2/4x. So now add 2/4x + 3/4x. Denominator's stay the same so add the numerators. 2 + 3 = 5. 5x / 4 = -5 Multiply each side by 4. 5x = -20 Divide each side by 5. x = -20 / 5 x = -4

How to get rid of my stupid mistakes?

Whenever I'm doing math, I can understand everything pretty easily, but when it comes to actually doing problems I make the most idiotic mistakes. Simple mistakes such as adding 6 and 7, getting negative and positive signs mixed up, expanding polynomials incorrectly, etc. I have no clue why I do this. I know how to do them properly, I just end up making mistakes when actually doing them. I've tried redoing the questions, or doing them at a slower pace but most of the time I end up making the same mistake. It's getting to be a real problem, I'm losing a lot of marks because of this.

Answer: 
I'v been doing math for over 40 years now and I still make stupid mistakes. All I can tell you is learn to check your work and get as much practice as you can. It also helps if you can figure out another way to solve the problem. If you get the same answer both ways, then you can be pretty sure it's right.

How to find the gradient and perpendicular equation for these lines?

1)The point A has coordinates (-3, 7) and the point B has coordinates (11, 7).
a)Find the gradient of AB.
b)Find the equation of the perpendicular bisector of AB.

Answer: 
1a) you find the gradient by using the formula: m=(y-y1)/(x-x1) where m is the gradient. Substitute your values in and it becomes: m=(7-7)/(11--3) = 0/14 = 0 (This means it is a horizontal line) b) The line perpendicular to this will be a vertical line so you know it will be x=something. Find the half way point between the x coordinates and this will be the point of bisection: (11+-3)/2 = 4. The equation of the perpendicular bisector is x=4

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