2/9
alternative form: 0.2
<h3>
Answer: choice C) geometric series</h3>
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Explanation:
The sequence {5, 5/3, 5/9, 5/27, 5/81, ...} is a geometric sequence with starting term a = 5 and common ratio r = 1/3
A geometric sequence is such that each term is generated by multiplying the last term by the same common ratio to get the next term
- first term = a = 5
- second term = (first term)*(common ratio) = a*r = 5*(1/3) = 5/3
- third term = (second term)*(common ratio) = (5/3)*(1/3) = 5/9
- fourth term = (third term)*(common ratio) = (5/9)*(1/3) = 5/27
- fifth term = (fourth term)*(common ratio) = (5/27)*(1/3) = 5/81
and so on. When we add up terms in a sequence, we form a series.
Lets first convert the tons to pounds.
1 ton = 2000 pounds
18 × 2000 = <span>36000
</span><span>18 tons = 36000 pounds
</span>
36000 + 42 = <span>36042
</span>36042 ÷ 3 = <span>12014
</span>
18 tons 42 pounds divided by 3 is <span>12014. </span>
The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.
<h3>Volume of a rectangular prism</h3>
The volume of a rectangular prism is represented as follows;
volume of rectangular prism = lwh
where
- l = length
- w = width
- h = height
Therefore,
volume of the box = 18 × 24 × 12 = 5184 inches³
Therefore, the volume of each trail mix box is as follows:
volume = 4 × 3 × 3 = 36 inches³
Therefore,
number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144
learn more on rectangular prism here: brainly.com/question/5309082
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Answer:
i dont know i am so sorry
Step-by-step explanation:
good luck with it though