They are essentially asking us to solve:

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.
Answer:
B
Step-by-step explanation:
![~~~2x^{16} - 32x^4\\\\ = 2x^4(x^{12} -16)\\\\=2x^4\left[(x^6)^2 - 4^2 \right]\\\\=2x^4(x^6 -4)(x^6 +4)~~~~~~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=2x^4\left[(x^3)^2 - 2^2\right] (x^6 +4)\\\\=2x^4(x^3 -2)(x^3 +2)(x^6 +4)](https://tex.z-dn.net/?f=~~~2x%5E%7B16%7D%20-%2032x%5E4%5C%5C%5C%5C%20%3D%202x%5E4%28x%5E%7B12%7D%20-16%29%5C%5C%5C%5C%3D2x%5E4%5Cleft%5B%28x%5E6%29%5E2%20-%204%5E2%20%5Cright%5D%5C%5C%5C%5C%3D2x%5E4%28x%5E6%20-4%29%28x%5E6%20%2B4%29~~~~~~~~~~~~~~~~~~%3B%5Ba%5E2%20-b%5E2%20%3D%20%28a%2Bb%29%28a-b%29%5D%5C%5C%5C%5C%3D2x%5E4%5Cleft%5B%28x%5E3%29%5E2%20-%202%5E2%5Cright%5D%20%28x%5E6%20%2B4%29%5C%5C%5C%5C%3D2x%5E4%28x%5E3%20-2%29%28x%5E3%20%2B2%29%28x%5E6%20%2B4%29)
Answer:
4. 4 tablets
5. no, 5 tablets
6. 19320 mg, 19.32 g
Step-by-step explanation:
4. 500 ÷ 125 = 4 tablets
5. a) no
b) 150 ÷ 30 = 5
you should be given 5 tablets
6. There are approximately 2.205 lbs in one kg.
Therefore, 142 lb = 142 ÷ 2.205 = 64.4 kg
300mg/kg/day
Therefore, number of mg per day = 300 x 64.4 = 19320 mg
b) As 1000mg = g
19320 ÷ 1000 = 19.32 g (nearest hundredth)
1 foot = 12 inches
2 x 12 = 24 +3 = 27 inches
3 x 12 = 36 +5 = 41 inches
27*41 = 1107 square inches
1107 * 0.35 = $387.45