Hi there!


We can evaluate using the power rule and trig rules:



Therefore:
![\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B12%7D_%7B2%7D%20%7Bx-sin%28x%29%7D%20%5C%2C%20dx%20%3D%20%5B%5Cfrac%7B1%7D%7B2%7Dx%5E%7B2%7D%2Bcos%28x%29%5D_%7B2%7D%5E%7B12%7D)
Evaluate:

5.
f(K) = D^3 => f(25) = 125 => 25 * t = 125 ( because K is directly proportional with D^3 )=> t = 125 / 25 => t = 5 => f(25) = 25 * 5 => K * 5 = D^3 ;
6.
f(L) = F^3 => f(2) =3^3 =>f(2) = 27 => 2 / t =27 => t = 2 / 27 => t = 0.074 => f(2) = 2 / 0.074 => K / 0.074 = F^3 ;
Answer:
The probability that you would choose lemon-lime and then orange is 3/11 =.273.
Step-by-step explanation:
These are 'dependent events', which mean that your the event is affected by previous events. So, because you have eleven total bottles (five lemon-lime and six orange) and you do not replace the first bottle, that would only leave you with ten bottles remaining. The probability that you will pick the lemon-lime on the first choice is 5/11 because all of the bottles are there. However, your second choice will only include ten total bottles since you already took one. The probability that you would choose orange would be 6/10. When you multiply these two fractions and reduce to simplest form, you get 3/11.
Answer:
36%
Please Mark Brainliest If This Helped!
so i am sure you know that 1 hour is sixty minutes
so this is how it woulds
10/1 * 60/1 = 600 minutes
so that means that 10 hours would be equal to 600 minutes
then add on the 39 minutes
639
BUT WAIT there are the seconds
24/1 * 1/60 = 0.4
so 24 seconds is 0.4 (40%) of a minute
so it would take 639.4 minutes for saturn to make a full rotation
i hope this helped and please vote me for brainliest! have a nice day!