Hey there! :)
Answer:
b = -11.
Step-by-step explanation:
Create an equation in slope-intercept form to solve for the intercept:
y = mx + b
Plug in the slope and point values:
4 = -3(-5) + b
Simplify:
4 = 15 + b
Solve for b:
-11 = b
b represents the y-intercept, therefore:
y-intercept = -11
Answer:
k = - 6.6667
Step-by-step explanation:
this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.
let us begin.
Given that ;
dT/dt = k ( Tm - T) where Tm is the temp of the medium
dT/dt = 5 degrees Celsius per minute when T = 70
so we have that, 5 = k ( 25 - 70)
remember to convert 5 degree celsius per minute to seconds
we have that;
5*60(sec) = k ( 25 - 70)
k = 5*60 / ( 25 - 70)
k = - 6.6667
note K is negative because we consider it for cooling process (temp decreasing).
cheers i hope this helps!!!
A=h(b+c)
A/h=b+c
b=(A/h)-c
Answer: b=(A/h)-c