600 is the answer ur welcome
Answer: 50 mg
Step-by-step explanation:
Substituting into the half-life formula, we get that
![N(t)=800\left(\frac{1}{2} \right)^{t/25}](https://tex.z-dn.net/?f=N%28t%29%3D800%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%5E%7Bt%2F25%7D)
So, after 100 years,
![N(100)=800\left(\frac{1}{2} \right)^{100/25}=\boxed{50 \text{ mg}}](https://tex.z-dn.net/?f=N%28100%29%3D800%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%5E%7B100%2F25%7D%3D%5Cboxed%7B50%20%5Ctext%7B%20mg%7D%7D)
The angle between line XZ and line XY is given by:
![x = atan (\frac{12}{5})\\x = 67.38](https://tex.z-dn.net/?f=%20x%20%3D%20atan%20%28%5Cfrac%7B12%7D%7B5%7D%29%5C%5Cx%20%3D%2067.38%20%20%20)
Then, the height from vertex Y to horizontal line XZ is:
![h = 5 sine (67.38)\\h = 4.62](https://tex.z-dn.net/?f=%20h%20%3D%205%20sine%20%2867.38%29%5C%5Ch%20%3D%204.62%20%20)
Then, the distance from Y to Y 'is given by:
![YY '= 2h\\YY '= 2 (4.62)\\YY '= 9.2](https://tex.z-dn.net/?f=%20YY%20%27%3D%202h%5C%5CYY%20%27%3D%202%20%284.62%29%5C%5CYY%20%27%3D%209.2%20%20)
Answer:
the approximate distance from Y to Y 'is:
D. 9.2 units
Triangle: no parallel sides
square: 2 pairs of parallels (2 opposite sides are parallels)
trapezoid must have 1 pair of parallels
pentagon: if regular then no parallel, if not regular there can be 1 or 2 pairs of parallels
Answer:
See below.
Step-by-step explanation:
A)
The end behavior is basically how the function behaves as it approaches negative or positive infinity.
As the function approaches negative infinity, we can see that the graph is going up. In other words:
![f(x)\rightarrow\infty\text{ as }x\rightarrow-\infty](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%5Cinfty%5Ctext%7B%20as%20%7Dx%5Crightarrow-%5Cinfty)
As the function approaches positive infinity, we can see that the graph is going down. In other words:
![f(x)\rightarrow-\infty\text{ as }x\rightarrow\infty](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow-%5Cinfty%5Ctext%7B%20as%20%7Dx%5Crightarrow%5Cinfty)
B)
In even-degree polynomials, both ends of the graph will be going the same way. In this graph, the two ends are going opposite ways so this is an odd-degree function.
C)
The number of real zeros is simply the amount of times the graph crosses the x-axis. In the graph, the function does this three times. Thus, the number of real zeros is 3.