Simplify the following expression, - 2x² + 3 + 5x - 10 – 10x²
2 answers:
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Answer:
The absolute error is <u>4 ft</u> and percent error of Tony's estimate is <u>9.8%</u>.
Step-by-step explanation:
Given:
Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41ft.
Now, to find the absolute error and the percent error of Tony's estimate.
The height of his office building = 45ft.
The actual height of his office building = 41 ft.
So, to get the absolute error:
<em>The height of his office building - the actual height of his office building</em>
The absolute error = 4 ft.
Now, to get the percent error of Tony's estimate:
<em>Percent error of Tony's estimate rounding to nearest tenth = 9.8%.</em>
Therefore, the absolute error is 4 ft and percent error of Tony's estimate is 9.8%.
The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
<h3>What is a sequence?</h3>It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The total length of the wood = 90 in
We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.
We can cut it like:
1 in, 2 in, 3 in, 4 in, and so on
The above shows the arithmetic sequence,
The sum of the n natural number is given by:
After solving, we will get a quadratic equation:
n² + n -180 = 0
After solving, we will get:
n = 12.92 and n = -13.92(term can not be negative)
n = 12 (taking whole number)
Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
Learn more about the sequence here:
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