Answer:
All you have to do is multiply 5000 by .025 to find that she earns $125. Next, you multiply 125 by 7 and find that she earns $875!
Step-by-step explanation:
Answer:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
Step-by-step explanation:
4*1 = 4
4*2 = 8
4*3 = 12
and so on...
Answer:
The answer is 153
Step-by-step explanation:
You multiply 17 by 3 by 3.
Answer:
2x+2y ≤ 64
x=2y+2
Step-by-step explanation:
x = length
y = width
the length is 2 more than twice the width or 2 more than twice y
x = 2+2y
the perimeter of the garden = 2 times the length + 2 times the width
she have 64ft of wire so the perimeter should be equal or less than 64 ft
64 ≥ 2x + 2y
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.
