your answer should be (-5,5) sorry if im wrong tho and if im wrong plz correct me
A: 0.12 X 10-3
Remember that you have to go to the right 3x.
I really hope this helped you, and have a blessed day.
Answer:
x = 5 cos 2t
Step-by-step explanation:
given equation
x'' + 4x = 0 ; x(0) = 5, x'(0) = 0
L{ x'' + 4 x } = 0
L{x''} + 4 L{x} = 0
s² . L(x) - s . x(0) - x'(0) + 4 L{x} = 0
( s² + 4 ). L(x) - 5 s = 0
L(x) = ![\dfrac{5s}{s^2 +4}](https://tex.z-dn.net/?f=%5Cdfrac%7B5s%7D%7Bs%5E2%20%2B4%7D)
= cos at
so,
x = 5 ![L^{-1}(\dfrac{s}{s^2 +2^2})](https://tex.z-dn.net/?f=L%5E%7B-1%7D%28%5Cdfrac%7Bs%7D%7Bs%5E2%20%2B2%5E2%7D%29)
x = 5 cos 2t
Answer:
5 hours
Step-by-step explanation:
you take 715 and divide it by 13 to see how long it takes for one hour and you get 55
so then you divide 275 by 55 an dyou get 5
Answer:
Length of the final sides: 6 cm and 16 cm
Step-by-step explanation:
The lengths of the sides of the original box are
![L=20 cm\\W=10 cm](https://tex.z-dn.net/?f=L%3D20%20cm%5C%5CW%3D10%20cm)
Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:
![L'=L-2x\\W'=W-2x](https://tex.z-dn.net/?f=L%27%3DL-2x%5C%5CW%27%3DW-2x)
We also know that the area is
![A=96 cm^2](https://tex.z-dn.net/?f=A%3D96%20cm%5E2)
And the area can be written as product of length and width, therefore:
![A=L'W'](https://tex.z-dn.net/?f=A%3DL%27W%27)
So we find:
![A=(L-2x)(W-2x)\\96=(20-2x)(10-2x)](https://tex.z-dn.net/?f=A%3D%28L-2x%29%28W-2x%29%5C%5C96%3D%2820-2x%29%2810-2x%29)
Solving for x,
![96=200-20x-40x+4x^2\\4x^2-60x+104=0\\\\x^2-15x-26=0](https://tex.z-dn.net/?f=96%3D200-20x-40x%2B4x%5E2%5C%5C4x%5E2-60x%2B104%3D0%5C%5C%5C%5Cx%5E2-15x-26%3D0)
Which has two solutions:
x = 13 cm (this is larger than the initial length of the width, therefore we discard it)
x = 2 cm
So, the length of the new sides are
![L=20-2x=20-2(2)=16 cm\\W=10-2x=10-2(2)=6 cm](https://tex.z-dn.net/?f=L%3D20-2x%3D20-2%282%29%3D16%20cm%5C%5CW%3D10-2x%3D10-2%282%29%3D6%20cm)