PLEASE HELP! Match the steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12.
1 answer:
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Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is:
The percent error is 4.167 %
<em><u>Solution:</u></em>
Given that, Mrs Franklin's speedometer said she was driving at a rate of 48 miles per hour
When checking the accuracy of her speedometer, an Automotive Specialist recorded her speed at 50 miles per hour
<em><u>The percent error is given by formula:</u></em>
Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%
From given,
Experimental value = 50
Theoretical value = 48
<em><u>Substituting the values in formula, we get,</u></em>
Thus the percent error is 4.167 %