Answer: 2/3 + 1/4 = 11/12
The least common denominator of both denominators is 12.
The first fraction , 3 x 4 = 12
2 2x4 8
— = —— = —
3 3x4 12
The second is the same , 4 x 3 = 12
1 1x3 3
— = —— = —
4 4x3 12
Add both fractions:
8 3 8 + 3 11
— + — = ——— = —
12 12 12 12
Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6
The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.
You can prove the proofs by showing your work to prove the proofs.
![\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac{5n+15}{2n-1}\right)^n\right|}=\lim_{n\to\infty}\frac{5n+15}{2n-1}=\dfrac52](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bn%5Cto%5Cinfty%7D%5Csqrt%5Bn%5D%7B%5Cleft%7C%5Cleft%28%5Cfrac%7B5n%2B15%7D%7B2n-1%7D%5Cright%29%5En%5Cright%7C%7D%3D%5Clim_%7Bn%5Cto%5Cinfty%7D%5Cfrac%7B5n%2B15%7D%7B2n-1%7D%3D%5Cdfrac52)
Since this limit exceeds 1, the series diverges.
<u>Answer:</u> The minuend is 20000
<u>Step-by-step explanation:</u>
To calculate the minuend, we use the equation:
We are given:
Difference between the two numbers = 7194
Subtraend = 12806
Putting values in above equation, we get:
Hence, the minuend is 20000
