I think you meant to write the closing parentheses in a different spot, as:

what is the answer to (-5m^7-7m^2+7m)/m and how​

Taking the divisor inside the brackets, this can be written as:

-(5m⁷÷m) - (7m²÷m) + (7m÷m)

= -5m⁶ - 7m + 7

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🍺 🍦  🍰  🍹

Far from being a very small number, it is actually a very LARGE number, it is 170 followed by another 306 zeros then a decimal point.

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(a) just substitute x=800 into the equation for T

(b) set T=9 and solve the quadratic to find possible values for x. If any value lies outside the range 500...800 then discard it for this exercise.

You have memorised a general formula for solving a quadratic, use it here.  😃

 Volume of cylinder = (area of circular base) x height 

It's a 725 cm³ volume, so you can use the above formula to determine the can's height to be 13.08 cm

We are told that the new radius = 4.2 + r

So we can say the new height = 13.08 – h

So the formula for the volume of the new cylinder becomes

   Pi • (4.2 + r)² • (13.08 - h) = 725

Rearrange this to isolate h on one side by itself, and this is called expressing h as a function of r.

Now, substitute the various values of r to find the corresponding h.

Go back to the original formula and isolate r, and use this equation to answer the final questions.

Good luck!  🍀

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The equation for the vertical height of a body moving under gravity is:

s = ut + ½at²  

^{Our acrobat starts higher than 0 metres, so I'll modify the equation so it shows him starting at 3.5m,}

s = 3.5 + ut + ½at²

^{Solve this quadratic to find t when s = 5.5 to determine how long it takes him to reach the 5.5m heights. One of the times is that for the acrobat ascending, the other is for his descending into the net.}

^{Once you know the time he hits the net, you can determine how far the horizontal component of velocity has taken him.}

^{🎪  🎠 🎠 🎠 🎭} 

Thanks, Alan.

Thanks for the reply Mel, though not what I wanted to hear. I hoped in 12 months it would have been fixed! 😠

A forum is only as good as its search function! 

😈 😈

Thanks for the reply Mel. I was hoping in 12 months this had been fixed. 😠

A forum is only as good as its search function!  

😈o

The backslash "\"  is  💦sometimes💦 used to denote integer division, e.g.,

 18\4 = 4

But often it's just someone who's dislexic and meant to type divide "/" symbol. 😯

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