I'm going to use n instead of t
rⁿ=6.25rⁿ+2
minus rⁿ both sides
0=5.25rⁿ+2
minus 2 both sides
-2=5.25rⁿ
divide both sides by 5.25
-2/5.25=rⁿ
take the nth root of both sides
![\sqrt[n]{\frac{-2}{5.25}}= \sqrt[n]{r^n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B%5Cfrac%7B-2%7D%7B5.25%7D%7D%3D%20%5Csqrt%5Bn%5D%7Br%5En%7D)
![\sqrt[n]{\frac{-2}{5.25}}= r](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7B%5Cfrac%7B-2%7D%7B5.25%7D%7D%3D%20r)
Answer:
0.85
Step-by-step explanation:
1.37-0.52=0.85
Answer:
(a) 36.36%
(b) 0.36%
(c) 0.06%
Step-by-step explanation:
Given that the time intervals measured with a stopwatch have an uncertainty of about 0.2 s.
We want to know what is the percent uncertainty of a hand-timed measurement of:
(a) 5.5 s
Percentage = (0.2/5.5) × 100
≈ 36.36%
(b) 55 s
Percentage = (0.2/55)×100
≈ 0.36%
(c) 5.5 min
5.5 min = 5.5 × 60 s
= 330 s
Percentage = (0.2/330)×100
≈ 0.06%
Answer:
Percentage error is 0.0024 %
Step-by-step explanation:
Initial average distance between Earth and moon = 384467 km
Distance measure by the scientist = 384476 km
Total variation in the distance calculation = 384476 – 384467 = 9 km.
Now we can find the percentage by dividing the variation in distance from the initial measurement and then multiply with hundred.
Percentage error = ( 9 / 384467 ) × 100 = 0.0024 %
