Answer:
center:
(-0.25, 5)
foci :
(-0.25, 0.158771) | (-0.25, 9.84123)
vertices :
(-0.25, -0.59017) | (-0.25, 10.5902)
wolframramalpha
![1)\text{ }N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}](https://tex.z-dn.net/?f=1%29%5Ctext%7B%20%20%20%7DN_t%5Ctext%7B%20%3D%2090%5Clparen%7D%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7B17.5%7D%7D)
2) 5.625 mg will be left
Explanation:
1) Half-life = 17.5 days
initial amount of Arsenic-74 = 90 mg
To get the equation, we will use the equation of half-life:
![\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20N_t%5Ctext%7B%20%3D%20N%7D_0%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7Bt_%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7D%20%5C%5C%20where%5Ctext%7B%20N%7D_t%5Ctext%7B%20%3D%20amount%20remaining%7D%20%5C%5C%20N_0%5Ctext%7B%20%3D%20initial%20amount%7D%20%5C%5C%20t_%7B%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20%7D%7D%5Ctext%7B%20%3D%20half-life%7D%20%5Cend%7Bgathered%7D)
![N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}](https://tex.z-dn.net/?f=N_t%5Ctext%7B%20%3D%2090%5Clparen%7D%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7B17.5%7D%7D)
2) we need to find the remaining amount of Arsenic-74 after 70 days
t = 70
![\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20N_t%3D%5Ctext%7B%2090%5Clparen%7D%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7B70%7D%7B17.5%7D%7D%20%5C%5C%20N_t%5Ctext%7B%20%3D%205.625%20mg%7D%20%5Cend%7Bgathered%7D)
So after 70 days, 5.625 mg will be left
Answer:
x = 8
y = 16
Step-by-step explanation:
8 + 8 = 16
y = 16
Answer:
x+6 / 4x-5
Step-by-step explanation: