Add up all the sides of the rectangle
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero.
t(x)=(x+5)^3+7
dt/dx=3(x+5)^2
d2t/dx2=6(x-5)
dt/dx=0 only when x=-5
However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.
So there is no turning point for this function.
Now in this problem, it is even easier than the above to show that there is no turning point. A turning point by definition is when the derivative or velocity changes sign. Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.
It's right u don't need a decimal
Answer:
BD = 4.99 units
Step-by-step explanation:
Consider the triangle ABD only.
The angle formed is 31 degrees which occurs between two sides that are AD and BC.
We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.
Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD
Using formula for tanθ
tanθ = Perpendicular/Base
tan31 = 3/BD
0.601 = 3/BD
BD = 3/0.601
BD = 4.99 units
The best approach to take here is to find out what 1% and 10% are, then multiply them accordingly.
To find 10%, just divide the amount of quarts by 10.
480/10= 48
Therefore, 10% is 48 quarts.
To find 1%, you then divide the 10% by 10.
48/10= 4/8
Therefore, 1% is 4.8 quarts.
As you're looking for 76, you can either multiply the 1% by 76, or you can break it down into two parts, which may be easier, which is the method that I will use.
I would split it into 70% and 6%
As you've got 10%, in order to find 70%, you just need to multiply this by 7.
48*7= 336.
you then need to find the odd 6%.
As you've find 1%, you need to then multiply this by 6.
4.8*6= 28.8
You then need to add these together to get your total.
336+28.8= 364.8
As you're looking for the remainder, you then need to take this away from 480.
480-364.8= 115.2
Therefore, you have 115.2 quarts of mustard oil remaining.
Hope this helps :)
