Answer: y = -1x + 5
Step-by-step explanation:
1. Plug the coordinates into the slope formula (y2 - y1)/ (x2 - x1)
(0 - 6)/ (5 -(-1))
2. Solve for slope
-6/6
= -1
3. Plug the first coordinate and slope into the point slope form equation (y - y1) = slope(x - x1) to find the rest of the equation of the line
(y -(-1)) = -1( x - 6)
4. Solve for y
y + 1 = -1x + 6 -----> y = -1x + 5
Step-by-step explanation:
thirty six point five(36.5)
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer:
y = 1/2 x + 3
Step-by-step explanation:
the positive 3 is the y intercept and the positive 1/2 is rise over run up-1 & 2 to the right
