Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.
Let the two numbers be represented by x and y. The problem statement gives rise to two sets of equations.
x - y = 0.6
y/x = 0.6 . . . . . . . assuming x is the larger of the two numbers
or
x/y = 0.6 . . . . . . . assuming y has the larger magnitude
The solution of the first pair of equations is
(x, y) = (1.5, 0.9)
The solution of the first and last equations is
(x, y) = (-0.9, -1.5)
The pairs of numbers could be {0.9, 1.5} or {-1.5, -0.9}.
Answer:
7536 ![km^3/sec](https://tex.z-dn.net/?f=km%5E3%2Fsec)
Step-by-step explanation:
Given that:
Rate of decreasing of radius = 12 km/sec
Height of cylinder is fixed at = 2.5 km
Radius of cylinder = 40 km
To find:
The rate of change of Volume of the cylinder?
Solution:
First of all, let us have a look at the formula for volume of a cylinder.
![Volume = \pi r^2h](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cpi%20r%5E2h)
Where
is the radius and
is the height of cylinder.
As per question statement:
= 40 km (variable)
= 2.5 (constant)
![\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cdfrac%7Bd%7D%7Bdt%7D%5Cpi%20r%5E2h)
As
are constant:
![\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cpi%20h%5Cdfrac%7Bd%7D%7Bdt%7D%20r%5E2%5C%5C%5CRightarrow%20%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cpi%20h%5Ctimes%202%20r%5Cdfrac%7Bdr%7D%7Bdt%7D%20%5C%5C%24Putting%20the%20values%3A%24%5C%5C%5CRigghtarrow%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%203.14%20%5Ctimes%202.5%5Ctimes%202%20%5Ctimes%2040%5Ctimes%2012%20%5C%5C%5CRigghtarrow%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%207536%5C%20km%5E3%2Fsec)
Answer:
y=mx+b
Step-by-step explanation:
The formula to find the slope is y=mx+b
hope this helps