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1 meter = 100 cm

Solve 2 over x+1 + 3 over x-1 = 5 over x^2-1

2/(x+1) + 3/(x-1) =5/(x^2 -1)

Solve for x:
3/(x-1)+2/(x+1) = 5/(x^2-1)

Multiply both sides by x^2-1:
2 (x-1)+3 (x+1) = 5

Expand out terms of the left hand side:
5 x+1 = 5

Subtract 1 from both sides:
5 x = 4

Divide both sides by 5:
Answer: |x = 4/5

Hey! Good question!

If you read this article; http://www.businessinsider.com.au/how-much-is-your-soul-worth-2013-9

it evaluates souls at different prices. However, they also include an average price, at 2.8 million US$. Using also the average price of a regular sized standard (not gourmet) cupcake, as according to divinecupcake.com, it is estimated that Pedro could purchase 1120000 cupcakes. (2800000/2.50)

However, this isn't considering the speed of travel, nor the air resistance. So lets say Pedro is outside his house, which is approximately 30miles from the cupcake store. He is assumed to have a full tank of fuel. It also depends upon which car he happens to be driving. According to forbes.com, an article outlined the world's top selling cars, and at the top of this list is the Toyota Corolla. The standard model comes with a 4-cylinder inline engine, that uses 7 litres/100km. This equates to around about 7litres/62.14 miles. I estimate the fuel tank to be 50-60 litres in size, and considering it is full, I will use 60L. Therefore, considering that the car must be moving at 30mp/h with air resistance to have that as the recorded reading, the maths would look something like:

62.14/30

=2.0713333333333335

7/ans

~3.38 litres used for the journey.

I consider the triangle to be irrelevant, as no values are given for angles or side lengths.

Now, the current US Petrol price average (using US prices for everything, as it is the easiest to find) is as of the 12th of September, at $0.65/litre of fuel. This means that Pedro spent about $2.20 on his journey, which equates to him losing that amount of his total from selling the soul.

2800000-2.20

=2799997.8

Therefore, using all possible statistics and viable options, and using recently evaluated amounts, Pedro can purchase 1119999 cupcakes, as he loses one, because it is impossible to purchase a tenth of a cupcake from the referenced store.

I hope this answered your question, and please don't tell me he wanted to buy jumbo or tiny cupcakes!!! 

Thanks!

73*10^173816739107369746193736

=10^10^10^1.3662378354420.......

0=0  X    

Yep, Bob is super fit and consistent :)

Easy, that number equals 73(10¹)^{173816739107369746193736}

And also, 73(10²)^{86908369553684873096868}

And also, 73(10⁴)^{43454184776842436548434}

If you want to put that number in proper scientific notation then here:

7.3*10^{173816739107369746193737}

If by "full" you mean you want me to write the number in decimal representation then there really is no purpose. The number written in scientific notation tells you the same amount of information, if not more about the number. For example, I can tell that the number is a 7 followed by a 3 followed by 173816739107369746193736 zeroes. If the number was in decimal representation, then I would have to count each zero to determine that.

I can also perform arithmetic with this number that would be hard to perform with it in "full" form. I can multiply this number by 1.2*10²⁴² much more easily without a calculator. It would be 8.76*10^{173816739107369746193979}

In my opinion, 7.3*10^{173816739107369746193737} is the real "full" form of this number.

2* .5  = 1    so     120 arctan(.3) =2003.909

'pie' is genaerally considered to be a pastry like dessert with a flaky wheat flour based crust and a sugary fruit filling.

We'll have to ASSUME 'bob' can actually run that far AND  maintain that  pace !   Haha

I'm having bacon and pepperoni on my veggie burger......   haha   ( saw that on a tweet today)

WHY ?????   There are big number calculators you can find online all over the internet.......that is just a lot of zeroes after the 73....

The car is travelling to the EAST at a constant rate (60km/hr) before it begins to DECCERATE to the WEST at a rate of 5 x 10^3  cm/s^2.

FIRST: The mass of the car is irrelevant....this is just 'smoke' to mislead you or see if you really know how to solve the problem.

SECOND:  Get everything into the same units...lets use the decceleration units of cm/s^2

  60 km/hr  x 1000m/km x100cm/m   /   3600 s/hr   = 1666.667 cm/s

xf= xi + vt + 1/2 a t^2       we know  v = 1666.667 cm/sec   and  a = -5 x 10^3 cm/s^2

   We need to find  t  to solve this equation

We (should ) know     vf= vfinal = 0 (because the car stops) = vi  + a t       If we substitute into THIS equation, we can find  t to solve the FIRST equation and find xf

vf = 0 = 1666.667   +  (-5 x 10^3) t       yields    t = .333 sec

Substitute this  't' into the first equation to solve for xf

xf = xo + vt + 1/2 a t^2

    = 0   + 1666.667 (.333) +  1/2 (-5 x 10^3)(.333^2)   =   277.77 cm = 2.778 meters

To stop from 60 km/hr in 2.778 meters is pretty impressive!!!

10 x 5.5   minutes 

Thanks!  That helped me out a ton, forgot how to do the whole thing.  You made it pretty clear for me and now I can do the rest.  Thanks again.

Tha will always be the case when you neglect air friction and there are no other forces besides gravity acting on the object.

You know this because the ball starts and ends in the same position.

If you throw anything up with a certain velocity, when that object reaches it's peak, it will always take the same amount of time to come down (disregarding air resistance and wind and such).

How do you know for certain that the ball took half of the total time to reach it's maximum height?

I'm assuming you mean you want to find the angles on the triangle. To do this, you can use trigonometry.

You already know one angle is 90 degrees since it is a right triangle. To find the other angle you can pick one of the other two unknown angles and use one of the three trig functions. I will be using sin.

Say you have a triangle with sides 3, 4, and 5. 5 is the hypontenuse and 3 and 4 are the legs. To find the one of the angles, let's look at the angle opposite to the side of length 3. From this angle's point of reference (let's call this angle x), the opposite side is 3 (as I just stated), the adjacent side is 4, and the hypontenuse is 5. The sin(x) is equal to the opposite side length divided by the hypotenuse. In this case we get sin(x) = 3/5

Use the arcsin function (asin on the calculator) and input 3/5 into the parenthesis to receive the angle measure. In this case, the angle is about 37 degrees.

To find the other angle you can simply recall the fact that the three angles of a triangle add up to 180. Therefore, 90 (the right angle) plus 37 (the angle we just found) plus y (the last angle we need to find) equals 180. Now just use algebra to find that the third angle should be about 53 degrees.

You are given   64 words   and  8 minutes and you want   words/minute

so just divide the two       64 words/ 8 minutes = 8 words/min = 8 words per minute

it goes up in 1/2 of the total time....it comes down in the other half of the time.

1/2 of the time is 1.75 secs

vf=vi+at  to find  vi    (velocity initial)  vf= 0 (because it stops and begins to fall back down)

then use

Use   xf=xi + vt + 1/2 at^2    to find xf (the final height)   with xi = initial height = 0

vf=0 = vi + (-9.8)( 1.75)   yields vi = 17.15 m/s

xf = xi + 17.5(1.75) + 1/2(-9.8)(1.75)^2

xf= 0 + 30.625 - 15.006=  15.619 m

So there are 5 different values that could be used to solve kinematic problems like this one.

In this case, there is:

1) initial velocity (v₀) - we are not provided with this value

2) final velocity (v_f) - we are not provided with this value

3) acceleration (a) - this is provided in the problem as -9.8 m/s² 

4) time (t) - this is 3.5 seconds

5) delta x (in other words, the displacement) - we are not provided with this value

The kinematic equation we will be using is:

delta x = v₀t + (1/2)at²

If we plug in the values we know, we cannot solve the equation for delta x since there will still be two variables. So we need to find what the initial velocity is by using this equation:

v_f = v₀ + at

But in order to find the initial velocity, we need to find the final velocity, which we also don't know. But, we do know that the velocity is 0 at the height of the toss, and we also know that at the height of the toss, half the time has elapsed (half of 3.5 is 1.75). So we end up with.

0 = v₀ + (-9.8 m/s²)(1.75 s) ----> 0 = v₀ + -17.15 m/s 

Then we isolate the v₀ on the left side of the equation.

v₀ = 17.15 m/s

Now we can plug this into the equation. (Remember to plug in the time as half of the given time)

delta x = v₀t + (1/2)at² ----> delta x = (17.15 m/s)(1.75 s) + (1/2)(-9.8 m/s²)(1.75 s)² 

Simplify the equation to get:

delta x = 15 m

The ball reaches a height of 15 meters.

Do you mean   e^3.13  ?    then 'e' is the opposite of the natural log (ln)   e= 2.71828

e^3.13 = 22.874

To 'answer a right triangle'  do you mean:  See if it IS a right triangle?

If it IS a right triangle, then pythagorean theorem applies   

a^2 + b^2 = c^2

where a and b are the 'legs'  which are the shorter two of the three side measurements and c is the hypotenuse....the longest side measurement.