Answer:
B. 3 square feet
Step-by-step explanation:
The formula for surface area is:
2lw+2lh+2wh
Box F's surface area is just plugging in those variables
2(3)(3)+2(3)(3)+2(3)(3)=54
Box J's surface area is the same way
2(2)(4.5)+2(2)(3)+2(4.5)(3)=57
The difference is 57-54=3
The answer is B. 3 square ft
Answer:
10
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
When you have an exponent inside and a exponent outside of the parentheses, you multiple them together. Since you're trying to get it equal to d^10, just divide it by 2 and you will get 5.
Answer:
In the year 2010
Step-by-step explanation:
we have
![A=200e^{0.033t}](https://tex.z-dn.net/?f=A%3D200e%5E%7B0.033t%7D)
where
A is the population in thousands
t is the number of years since 1998
so
For A=297 thousands
substitute and solve for t
![297=200e^{0.033t}](https://tex.z-dn.net/?f=297%3D200e%5E%7B0.033t%7D)
simplify
![1.485=e^{0.033t}](https://tex.z-dn.net/?f=1.485%3De%5E%7B0.033t%7D)
Apply ln both sides
![ln(1.485)=ln[e^{0.033t}]](https://tex.z-dn.net/?f=ln%281.485%29%3Dln%5Be%5E%7B0.033t%7D%5D)
![ln(1.485)=(0.033t)ln(e)](https://tex.z-dn.net/?f=ln%281.485%29%3D%280.033t%29ln%28e%29)
Remember that
![ln(e)=1](https://tex.z-dn.net/?f=ln%28e%29%3D1)
![ln(1.485)=(0.033t)](https://tex.z-dn.net/?f=ln%281.485%29%3D%280.033t%29)
![t=\frac{ln(1.485)}{0.033}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bln%281.485%29%7D%7B0.033%7D)
![t=12\ years](https://tex.z-dn.net/?f=t%3D12%5C%20years)
1998+12=2010
A
5/4 is 12.5
12.5/2 is 6.25
6.25*4 is 25