The length of the molecule is
in scientific notation.
Data;
- Width of molecule = 3*10^-6 cm
- Number of molecules = 225
<h3>Length of the molecule</h3>
This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.
This becomes;
![3*10^-^6*225 = 0.000675cm = 6.75*10^-^4cm](https://tex.z-dn.net/?f=3%2A10%5E-%5E6%2A225%20%3D%200.000675cm%20%3D%206.75%2A10%5E-%5E4cm)
The length of the molecule is
in scientific notation.
Learn more on scientific notation here;
brainly.com/question/5756316
brainly.com/question/1712028
Answer:
−0.608761429
Step-by-step explanation:
use the pathagreom theorem if you have two sides subtract that from 180
Answer:
363 feet
Step-by-step explanation:
330 ft / 10 seconds = 33 ft per second
33 * 11 seconds = 363 feet
Answer:
![\displaystyle F'(0) = 15](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%27%280%29%20%3D%2015)
Step-by-step explanation:
We are given that:
![f'(0) = 5 \text{ and } F(x) = f(3x)](https://tex.z-dn.net/?f=f%27%280%29%20%3D%205%20%5Ctext%7B%20and%20%7D%20F%28x%29%20%3D%20f%283x%29)
And we want to find F'(0).
First, find F(x):
![\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20f%283x%29%5D)
From the chain rule:
![\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20F%27%28x%29%20%26%3D%20f%27%283x%29%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cleft%5B%203x%5Cright%5D%20%5C%5C%20%5C%5C%20%26%3D%203f%27%283x%29%5Cend%7Baligned%7D)
Then:
![\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20F%27%280%29%20%26%20%3D%203f%27%283%280%29%29%20%5C%5C%20%5C%5C%20%26%20%3D%203f%27%280%29%20%5C%5C%20%5C%5C%20%26%20%3D%203%285%29%20%5C%5C%20%5C%5C%20%26%20%3D%2015%5Cend%7Baligned%7D)
In conclusion, F'(0) = 15.
AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles