Answer:
(a) 
(b) 18.5 minutes
(c) 450.4 minutes
Step-by-step explanation:
Given


Solving (a): Determine the linear equation
First, we need to calculate the slope (m)

Where


So, we have:


Multiply through by 100


Next, is to calculate the equation of the line using:

Recall that:





Add 22.25 to both sides




(b) Solve for y when x = 140

Substitute 140 for x



(c) Solve for x when y = 26.25

Substitute 26.25 for y

Solve for 0.025x


Solve for x


Answer:
the probability that this girl pulls out a red pen is 3/5 or 60%
Step-by-step explanation:
there are 3 red pens
and 2 black pens.
that means there are 5 pens
so when she reaches down. she can pick up 3 out of the 5 pens
(6x + 4) * (6x + 4)
= 36x^2+ 24x + 24x + 16
= 36x^2 + 48x + 16
Answer: 4.5 metres
Step-by-step explanation:
Using Hooke's Law ()
We need to find the spring constant of the bungee cord with the given extension and force, we can do this by substituting in known values.
Now we have found the spring constant of the bungee cord, we can substitute it in for the a different force. As the cord is the same we can use the same spring constant.
Answer: O 2 units left and 3 units down