Answer:
there are 3 1/6 pieces
Step-by-step explanation:
since 3 x 1/6=3/6.
another explanation:
(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.
Answer:
200.96in^2
Step-by-step explanation:
If the 1st cookie cake is 8" for its diameter and the 2nd cookie cake will have twice the length diameter of the 1st cookie cake .You will do 2 × 8 to get the diameter of the 2nd cookie cake.
First cookie cake diameter is 8".
Second cookie cake's diameter is 16".
Since we need the radius to find the area of the 2nd cookie cake we're going to do 16 / 2 which equals 8 so 8 is the radius.
A=(pi)r^2
A=(pi)8^2 *to the 2nd power means times by the same number
A=(pi)64
A= (3.14)(64)
A=200.96
=200.96^2
pi= 3.14 *for this problem
Answer:
3.31 x 10^4
Step-by-step explanation:
3.111 x 10^4 is 31110
2 x 10^3 is 2000
31110 + 2000 = 33100 or 3.31 x 10^4
I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.
Answer:
Directly proportional relationships always pass through the origin (0,0). There are other linear relationships that do not pass through the origin.
