Answer:
1. .
2. .
3. .
4. .
5. .
Step-by-step explanation:
1. The product of the third power of a and the fourth power of b = .
The 'third power of a' means 'a to the power 3' and 'fourth power of b' means 'b to the power 4'.
2. Six less than three times the square of Y means .
Here, 'three times the square of Y' means 'product of 3 and Y to the power 2', and 'six less than' means 'subtract 6 from the expression'.
3. The sum of a and b increase by the quotient of b and a means .
Here, 'quotient of b and a' means 'b divided by a'.
4. Four times the sum of r and a increased by twice the different r and s means .
Here, 'increased by' means 'addition' and 'different r and s' means 'r minus s'.
5. Triple the difference of 55 and cube of w means .
Here, triple means 3 times. (Answer)
<h2>
Question:</h2>
A surveyor is estimating the distance across a river. The actual distance is 284.5 m. The surveyor's estimate is 300 m. Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.
<h2>
Answer:</h2>
(i) Absolute error = 15.5m
(ii) Percent error = 5.5%
<h2>
Step-by-step explanation:</h2>
<em>Given:</em>
Actual measurement of the distance = 284.5 m
Estimated measurement of the distance by the surveyor = 300 m
(i) The absolute error is the magnitude of the difference between the estimated value measured by the surveyor and the actual value of the distance across the river.
i.e
Absolute error = | estimated value - actual value |
Absolute error = | 300m - 284.5m | = 15.5m
(ii) The percent error (% error) is given by the ratio of the absolute error to the actual value then multiplied by 100%. i.e
% error = x 100%
% error = x 100%
% error = 0.05448 x 100%
% error = 5.448%
% error = 5.5% [to the nearest tenth]
Answer: 26ft
Step-by-step explanation: