Answer:
136
Step-by-step explanation:
32*4=128
15=1/4 of a minute
32/4=8
128+8=136
Answer:
The length of all four sides of a quadrilateral are 7 inches, 14 inches, 10 inches, 10 inches
Step-by-step explanation:
Let the shortest side be 
As per given information longest side = 
and other 2 sides are equal in length but 3 more times that shortest side = 
Perimeter of Quadrilateral = 41 inches given
But perimeter of quadrilateral = sum of all sides
Shortest side = 
Longest side = 
Other 2 sides = 
From your previous questions, you know
(3<em>w</em> + <em>w</em>⁴)' = 3 + 4<em>w</em>³
(2<em>w</em>² + 1)' = 4<em>w</em>
So by the quotient rule,
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3<em>w</em> + <em>w</em>⁴)' - (3<em>w</em> + <em>w</em>⁴)•(2<em>w</em>² + 1)' ] / (2<em>w</em>² + 1)²
That is, the quotient rule gives
<em>R'(w)</em> = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²
I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3 + 4<em>w</em>³) - (3<em>w</em> + <em>w</em>⁴)•(4<em>w</em>) ] / (2<em>w</em>² + 1)²
