Answer:
![9\sqrt{2}](https://tex.z-dn.net/?f=9%5Csqrt%7B2%7D)
Step-by-step explanation:
![=3\sqrt{2}+6\sqrt{2}](https://tex.z-dn.net/?f=%3D3%5Csqrt%7B2%7D%2B6%5Csqrt%7B2%7D)
![\mathrm{Add\:similar\:elements:}\:3\sqrt{2}+6\sqrt{2}=9\sqrt{2}](https://tex.z-dn.net/?f=%5Cmathrm%7BAdd%5C%3Asimilar%5C%3Aelements%3A%7D%5C%3A3%5Csqrt%7B2%7D%2B6%5Csqrt%7B2%7D%3D9%5Csqrt%7B2%7D)
Answer:
Simplified: 0.024
Step-by-step explanation:
<span>
<u><em>The correct answer is: </em></u>1000.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>We divide to find the answer to this: </span></span>
![\frac{10000}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10000%7D%7B10%7D%20)
<span><span>. When we are dividing by 10, we can move the decimal to the left one place; doing this gives us 1000.</span></span>
Answer:
0.70275
Step-by-step explanation:
Data provided in the question:
4e²ˣ⁻¹ -1 = 5
now solving for 'x'
⇒ 4e²ˣ⁻¹ = 5 + 1
or
⇒ 4e²ˣ⁻¹ = 6
or
⇒ ![e^{(2x-1)} =\frac{6}{4}](https://tex.z-dn.net/?f=e%5E%7B%282x-1%29%7D%20%3D%5Cfrac%7B6%7D%7B4%7D)
or
⇒ ![e^{(2x-1)} =\frac{3}{2}](https://tex.z-dn.net/?f=e%5E%7B%282x-1%29%7D%20%3D%5Cfrac%7B3%7D%7B2%7D)
now,
taking natural log both sides, we get
⇒ 2x - 1 = ![\ln(\frac{3}{2})](https://tex.z-dn.net/?f=%5Cln%28%5Cfrac%7B3%7D%7B2%7D%29)
also,
we know
⇒
thus,
⇒ 2x - 1 = ln(3) - ln(2)
or
⇒ 2x - 1 = 1.0986 - 0.6931
or
⇒ 2x - 1 = 0.4055
or
⇒ 2x = 0.4055 + 1
or
⇒ 2x = 1.4055
or
⇒ x = 0.70275
K = 3/14 should be the correct answer