Answer:
Step-by-step explanation:
Evaluating the numerator and denominator before evaluating
Using the rule of exponents
⇔ 
, 
= 1
Thus
y² ← substitute values into expression
= 
× 4² = 
× 16 = 
and denominator
= 1 × 4³ = 1 × 64 = 64
Now dividing
÷ 64
= × 
( cancel 16 and 64 )
= 
=
The given equation is:
y = -10x + 1
Slope of this equation = -10
New line will be perpendicular to this line, so slope of new line = 1/10
So, we are to find the equation of a line with slope 1/10 and passing through (5,7). Using the point slope form we can write
y - 7 = 1/10 ( x - 5)
y = x/10 -1/2 + 7
y = x/10 + 13/2
⇒
x/10 - y = -13/2
So option C gives the correct equation of the new line
So 3 and 1/4 is equal to 4/4+4/4+4/4+1/4=13/4
so she put in 3 and 1/9 or 9/9+9/9+9/9+1/9 or 28/9
28/9+x=13/4
13/4-28/9=x
so we convert so that the bottom numbers are the same
a short cut is 3 and 1/4+x=3 and 1/9
3 1/9+x=3 1/4
subtract 3 from both sides
1/9+x=1/4
subtract 1/4 from both sides
x=1/4-1/9
convert bottom number to same thing
1/9=4/36
1/4=9/36
x=9/36-4/36
x=5/36
5/36 cups
ANSWER: 
GOOD LUCK, I hope this helped!
Answer:
Step-by-step explanation:
xy = 2y + xy = 0
Hence, 2y + xy = 0 ---------(1)
Differentiating equation (1) n times by Leibnitz theorem, gives:
2y(n) + xy(n) + ny(n - 1) = 0
Let x = 0: 2y(n) + ny(n - 1) = 0
2y(n) = -ny(n - 1)
∴ y(n) = -ny(n - 1)/2 for n ≥ 1
For n = 1: y = 0
For n = 2: y(1) = -y
For n = 3: -3y(2)/2
For n = 4: -2y(3)
