Answer:
1. complex fraction Ex: 1/4/3- one fourth over 3 if that makes more sense
2. terminating decimal Ex: 0.5
3. additive inverse Ex: -14+14= 0
Answer:
Matt used 65 carpet tiles.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Applying the Laplace transform:
![\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5By%27%27%5D%2B5%5Cmathcal%7BL%7D%5By%27%5D%2B4%5Cmathcal%7BL%7D%5By%27%5D%3D0)
With the formulas:
![\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5By%27%27%5D%3Ds%5E2%5Cmathcal%7BL%7D%5By%5D-y%280%29s-y%27%280%29)
![\mathcal{L}[y']=s\mathcal{L}[y]-y(0)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5By%27%5D%3Ds%5Cmathcal%7BL%7D%5By%5D-y%280%29)
![\mathcal{L}[x]=L](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5Bx%5D%3DL)
Solving for 
Apply the inverse Laplace transform with this formula:
![\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5E%7B-1%7D%5B%5Cfrac1%7Bs-a%7D%5D%3De%5E%7Bat%7D)
![y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}](https://tex.z-dn.net/?f=y%3D3%5Cmathcal%7BL%7D%5E%7B-1%7D%5B%5Cfrac1%7Bs%2B4%7D%5D%3D3e%5E%7B-4t%7D)
Answer:
Step-by-step explanation:
time after 40 meters to 80 meters=12-7=5 s
distance=80-40=40 m
max. speed=40/5=8 m/s
The appropriate expression to identify the amount of formalin is: x = 3200 ÷ 100 × 44%
<h3>How to identify the amount of formalin?</h3>
To calculate the amount of formalin in this substance we must perform the following mathematical operation:
- 3200 ÷ 100 = 32
- 32 × 44% = 1,408
According to the above, the mathematical expression would be:
Learn more about mathematical expression in: brainly.com/question/14462529
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