Answer:
Lixin is the fastest typist
Step-by-step explanation:
Amirah = 45
Lixin = <u>46 </u>
Shirley = 42
We divide the words by minutes which is basically Unit rate
So we take each person and divide by their words and minutes
ALWAYS when ur finding unit rate divide the buggest number by the smallest!
Answer:
x = 1,2909 ml (point where Brooke beaches her kayack)
Step-by-step explanation:
I did not find the indicated picture. I design one (See picture in Annex)
The route to follow by Brooke is x₁ + x₂ and as we need to express total time.
s (distance) = velocity* time then time t = distance / velocity
x₁ = √ (5)² + x² ⇒ x₁ = √( 25 + x² )
and x₂ = ( 6 - x )
x₁ = distance in kayack ( speed 2 ml/h)
x₂ = distance walking ( speed 4 ml/h)
Then total time as a function of x is
t(x) = √( 25 + x² ) / 2 + ( 6 - x ) / 4
Taking derivatives on both sides of the equation we get
t´(x) = 2x* (2) / 4 *√( 25 + x² ) - 1/4
t´(x) = 0 2x* (2) / 4 *√( 25 + x² ) - 1/4 = 0 x/√( 25 + x² ) - 1/4 = 0
x/√( 25 + x² ) = 1/4
x = √( 25 + x² ) /4
x² = (25 + x² ) /16
16*x² = 25 + x²
15x² = 25 x = 1,2909 ml (point where Brooke beaches her kayack)
Then walking distance is x₂ = 6 - 1.2909 x₂ = 4.71 ml
