Answer:
The value of x nearest to thousandths is, 74.207
Step-by-step explanation:
Solve : ![\ln 2 + \ln x = 5](https://tex.z-dn.net/?f=%5Cln%202%20%2B%20%5Cln%20x%20%3D%205)
represents the logarithmic function with base e.
Using logarithmic properties:
, then ![x = e^a](https://tex.z-dn.net/?f=x%20%3D%20e%5Ea)
![\ln 2 + \ln x = 5](https://tex.z-dn.net/?f=%5Cln%202%20%2B%20%5Cln%20x%20%3D%205)
Apply the logarithmic properties; we have
![\ln 2x = 5](https://tex.z-dn.net/?f=%5Cln%202x%20%3D%205)
then;
![2x = e^5](https://tex.z-dn.net/?f=2x%20%3D%20e%5E5)
or
![2x=148.41315910258](https://tex.z-dn.net/?f=2x%3D148.41315910258)
Divide both sides by 2 we get;
![x = 74.2065796](https://tex.z-dn.net/?f=x%20%3D%2074.2065796)
Therefore, the value of x nearest to thousandths is, 74.207
Let x be the number of square feet to be mowed
215 square feet take 22 minutes
x square feet take 12 minutes
Answer:
Hope this helps!
Step-by-step explanation:
12% of 75 would be 9
The solution would be like
this for this specific problem:
<span>V = ∫ dV </span><span>
<span>= ∫0→2 ∫
0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [
-2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
<span>= ∫0→2 [
2·r² ] dr </span>
<span>=
(2/3)·2³ - (2/3)·0³ </span>
<span>= 16/3 </span></span>
So the volume of the
given solid is 16/3. I am hoping that these answers have satisfied
your query and it will be able to help you in your endeavors, and if you would
like, feel free to ask another question.