Answer:
The first 12 terms of the series are represented by:
![f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048](https://tex.z-dn.net/?f=f%2812%29%20%3D%20%5CSigma%5Climits_%7Bi%20%3D%201%7D%5E%7B12%7D%20%5B%28-1%29%5E%7Bn%7D%5Ccdot%202%5E%7Bn-1%7D%5D%20%3D%20-1%20%2B%202%20-%204%20%2B%208%20-%2016%20%2B%2032%20-%2064%20%2B%20128%20-256%20%2B%20512%20-%201024%20%2B%202048)
Step-by-step explanation:
The summation notation for the series
is represented by the expression
.
The first 12 terms of the series are represented by:
![f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048](https://tex.z-dn.net/?f=f%2812%29%20%3D%20%5CSigma%5Climits_%7Bi%20%3D%201%7D%5E%7B12%7D%20%5B%28-1%29%5E%7Bn%7D%5Ccdot%202%5E%7Bn-1%7D%5D%20%3D%20-1%20%2B%202%20-%204%20%2B%208%20-%2016%20%2B%2032%20-%2064%20%2B%20128%20-256%20%2B%20512%20-%201024%20%2B%202048)
Answer:
19.2 kg/person/year
Step-by-step explanation:
![\dfrac{5.77\cdot 10^6\,T}{1\,US\cdot year}\cdot\dfrac{1000\,kg}{1\,T}\cdot\dfrac{1\,US}{3.01\cdot 10^8\,persons}=\dfrac{5.77\cdot 10^6\cdot 1000\,kg}{3.01\cdot 10^8\,person\cdot year}\\\\\approx 19.2\,\text{kg/person/year}](https://tex.z-dn.net/?f=%5Cdfrac%7B5.77%5Ccdot%2010%5E6%5C%2CT%7D%7B1%5C%2CUS%5Ccdot%20year%7D%5Ccdot%5Cdfrac%7B1000%5C%2Ckg%7D%7B1%5C%2CT%7D%5Ccdot%5Cdfrac%7B1%5C%2CUS%7D%7B3.01%5Ccdot%2010%5E8%5C%2Cpersons%7D%3D%5Cdfrac%7B5.77%5Ccdot%2010%5E6%5Ccdot%201000%5C%2Ckg%7D%7B3.01%5Ccdot%2010%5E8%5C%2Cperson%5Ccdot%20year%7D%5C%5C%5C%5C%5Capprox%2019.2%5C%2C%5Ctext%7Bkg%2Fperson%2Fyear%7D)
Answer:
read down bellow ------->
Step-by-step explanation:
There is a lengthier way of dividing fractions and it could be said to be a "more correct" method. It involves the use of equivalent fractions to make the denominators of both fractions the same. This is the correct way since, strictly speaking you can’t divide apples by oranges in the same way as you can’t divide fifths by fourths.
now lets go ahead and do it step by step and lets just hope you get it its pretty easy :)
<h2>step1.Find a common denominator and convert each fraction to its equivalent value 4/5➗2/3= 12/15 ➗ 10/15</h2><h3 /><h3>step2: Since the denominators are now the same we can divide the numerators 12/15 ➗ 10/15 = 12/10</h3><h3 /><h3>step3: Simplify the fraction
</h3><h3>12/10 = 1 1/5</h3><h3 /><h3>HOPE YOU GET IT NOW ! :3</h3>
Answer:
65
Step-by-step explanation:
Since 150 is the total and 12 is per week you can actuality do this equation
T= Total,150$ W=Amount saved,12$
150=12*X or 150/12=X
While X = 12.5 Weeks So, the correct answer
is 12.5 Weeks it can be stated As,
12 weeks 3 days 12 hours (X=12.5)