Answer:
Step-by-step explanation:
Given function is
the above function can be written as
(By using the formula 
)
Now differentiate the above function with respect to x on both sides
![\frac{dy}{dx}=2\left[\frac{1}{2x+11}\right]\ (2)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D2%5Cleft%5B%5Cfrac%7B1%7D%7B2x%2B11%7D%5Cright%5D%5C%20%282%29)
(By using formula 
and 
where a and b constants)
Therefore
Answer:
24%
Step-by-step explanation:
First, you would need to add up the total amount of skittles in the bag.
8+5+6+4+2=25 skittles in total.
We already know that 6 of these skittles are green. Therefore, we could say that 6 out of 25 skittles are green (or as a fraction, 6/25).
6/25 skittles are green. You can now easily convert this fraction into a decimal by doing 6 divided by 25 (6/25 = 0.24)
To convert this decimal into a percentage, simply multiply by 100.
0.24 x 100 = 24%
Answer:
....
Step-by-step explanation:
It's 154.687 because first you have to line up the dot which is call and. And you going to add your place holder which is a 0 next to the 2 and the you times
This is a question of resolving the forces in question into horizontal and vertical and then finding the action of the resultant force.
The first force acts at an angle less than 90° and thus its resolved forces are positive. The second force acts at angle larger than 90° and is incident and thus its horizontal value is positive while its vertical value is negative.
Therefore;
For force of 300 N at 30°;
Horizontal value = 300*Cos 30 = 259.81 N
Vertical value = 300*Sin 30 = 150 N
For 150 N at 135°;
Horizontal value = 150*Cos (180-135) = 106.07 N
Vertical value = -150*Sin (180-135) = -106.07 N
Then,
Resultant horizontal value = 259.81+106.07 = 365.88 N
Resultant vertical value = 150-106.07 = 43.93 N
Therefore,
Resultant force, v = Sqrt (365.88^2+43.93^2) = 368.51 N
Angle of action measured from horizontal = tan ^-1(43.93/365.88) 6.85°
Then,
v = 368.51 N at 6.85° from horizontal
