All Answers 358237 Answers

125/(900/50)=6 17/18

(125/900)/50=1/360

Oh yah,    another way   

  hmax = c - (b^2)/(4a)

hmax = 80 - (64^2)/(-64)

          = 80 + 64 = 144 feet  (STILL a wimpy rocket !)

 A   G.P.  has the form      a + ar +a(r^2)....... + a(r^n-1) where a is the first term and r is the common ratio. General formula for sum to n terms is Sn = a{ (r^n) -1 }  / (r-1)

The general formula for the sum to n terms is found like this:

Write the sum as Sn so that

Sn = a +ar + a(r^2)..........   a(r^n-1)

Now multiply both sides by r to get

r Sn = ar +a(r^2) +a(r^3) .....+a(r^n-1) + a(r^n)

Now subtract Sn from rSn to get

rSn-Sn = a(r^n) - a

(If you write out rSn underneath Sn you can see how the terms cancel out to leave  a(r^n)-a    )

From rSn-Sn= a(r^n)-a, factor out Sn from the left hand side,and factor out a from the right hand side to get

Sn(r-1) =a{ ( r^n) - 1} so the sum of n terms is

Sn = a{  (r^n)-1} /(r-1).  Note that this is not valid for r=1.

You can make up yourself an infinite geometric series. Just pick any number that you want as your 1st. term and then multiply it by ratio greater than 1 and it will diverge...........etc.

Example: Your 1st. term=1 and the ratio is 2, then you would have:

1, 2, 4, 8, 16, 32, 64......... and so on for as long as you want. So, by definition, you cannot sum up an infinite geometric that diverges. But, you can sum up an infinite series that converges such as this one: 1 + 1/2 + 1/4 + 1/8 + 1/16..................forever =2!!.

F x {[1 - r^n] / [1 - r]}=Sum of a geometric series, where F=1st. term, r=ratio, n=number of terms.

Using this formula, you can sum up, say, the 1st. 100 terms of the above series: 1, 2, 4, 8.......etc. and you will get=1.27 x 10^30.

I agree with Guest 2

It's an EQUALateral triangle , so by definition all of the sides are the same length...

So:

4x-y=7        solve for y= 4x-7

2x+3y=7   Substitute y= 4x-7 in here

2x + 3(4x-7)= 7

14x = 28    x= 2   so y = 1  

You can graph the quadratic to see the rocket's path....you will see it peaks out at 144 feet

Or, if you know how, you can take the DERIVATIVE of the quadratic (which results in an equation giving you the SLOPE of the original quadratic) and set = 0 (this would be when the rocket's path is at it's apex)   to find 't' ...then substitute this 't' into the original equation

Derivative = -32t + 64   = 0   results in 't' = 2 seconds

Substitute 't' = 2 into the original equation:

h = -16(2)^2 +64(2) + 80 =  144 feet max  (pretty wimpy rocket !)

Or, you can 'trial and error' it to find the 't' that gives you greatest 'h'

Lol! I am 15, too! I would definitely choose the Light Side though! :)

It is so cool here. Iḿ at York Chester Middle school

what is 1/6+4/7. The GCD of 6 and 7 is 42:

1/6 + 4/7 =

7/42 + 24/42 =

[7 + 24 ] / 42 =

=31/42. That is your answer.

4/6 + 4/6 =2/3?????!!. What school did you go to?

what is 1 and 1/5 times 3/4

1 1/5 x 3/4 =

6/5 x 3/4 =

18/20 =9/10

😢..