CPhill

Converting 11.5 km to cm, we have 11.5 km= (100cm /  1 meter) * ( 1000 meters / 1 km) = 1150000cm

So the scale is 1150000 : 1

So 5.5 cm * 1150000 = 6325000cm = 6325000/100000 = 63.25 km= 63.3 km (to the nearest tenth of a km)

A car traveling at 60mph has a ft/sec rate given by:

60mph * ( 5280ft / 1 mile) * (1hr / 3600sec ) = 88 ft/sec

Converting 15 feet to inches we have 180 inches

So the scale of the drawing is 8.5 : 180 =   17 : 360

So the width is (7 + 1/4) * (360 / 17) = (29/4 * 360/17)  = (29 * 90/17) ≈  153.53 inches ≈ 12.8 ft

Simpifying inside the brackets, we get

9 - {-7} = 9 + 7  = 16

Your poo function diverged as it approached infinity and hasn't been seen since.....

Historically...pi used to be written as "pie."  But then, the mathematicians had to "borrow" the "e"   so that they could - irrationally on their part, I might add  - represent another number.

And later - about the time of the French Revolution - the mathematicians  looked down upon all the "pies" that had lost their "e's" and said, "Let them eat cake.'

This bit of history is generally deleted in current-day math texts.

For "The Life of Pi" I can't figure out why............

You can read about it here :

Let's subtract 4 from both sides...we get

2 sinθ = 1  ....... divide by 2

sinθ = 1 / 2  

So θ = 30°, 150°  for  0 ≤ θ ≤ 360°

We have a problem here......we can't have a polynomial with only one complex root....all complex roots to a polymomial occur in pairs. Specifically, in your polynomial, the other complex root would be 2 + 3i.

I'll construct one with all these roots, and you can take your chances.   So we have....

(x + 1)(x + 1)(x -(2-3i))(x - (2 + 3i))

This gets a little messy, so hang on...multiplying the first two terms together, we get  x^2 + 2x + 1

Let's set this aside for the moment and concentrate on the last two .... so we have

(x -(2-3i))(x - (2 + 3i)) = (x^2 -x (2 - 3 i) - x (2 + 3i) + (2-3i)(2+3i) =

(x^2 -2x +3xi -2x -3xi + 4 -6i + 6i - 9(i)^2) = (x^2 - 4x + 4 + 9) = (x^2 - 4x + 13)

Now, putting the two together, we have

(x^2 + 2x + 1) (x^2 - 4x +13) =

x^4 + 2x^3 + x^2 - 4x^3 - 8x^2 - 4x + 13x^2 +26x + 13 =

x^4 -2x^3 + 6x^2 + 22x + 13 = P(x)

See...I told you it could get messy....!!

BTW...I checked this one with a solver and it was correct.......

In the manner you have it written, we have... (x^2) / 3

This says to square x and then divide by three.  So we have

(2)^2 / 3  =  4 / 3    And that's your answer      ....However.......

If you meant this,  x^(2/3), we have something different

This says to "square" x and then take the cube root of that answer

So we have 2^2 = 4

And the cube root of 4 can be written as (4)^(1/3) ≈ 1.59

Note that this brings up an important point......the placement of parentheses matter !!!! 

Hope that helped you

The question, as I interpreted it, is that 8 is being added to the number produced by doubling x

So doubling x  gives us  2x

And adding 8 to it gives

2x + 8

Substituting 8 into the problem, we get

2(8) + 8 = 8(8 -  5)

16 + 8 = 8(3)

24 = 24

That's all I've got !!!