Answer:
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: 
Step-by-step explanation:
Given two points are:
Slope intercept form of line is given as:
Here m is the slope of the line and b is the y-intercept.
Slope of a line is calculated by the formula:
Putting the values
Putting the value of slope in slope-intercept form we get
To find the value of b, any one point will be put in the equation
Putting the first point (12,4) in the equation
Putting the value of b
Hence,
Equation in slope-intercept form that goes through (12, 4) and (20,8) is:
The rate of change is +2
as an ordered pair it would be (1,-3),(2,-1)(3,1),(4,3)
To find radius just divide diameter by 2
So the answer will be
6 divide 2 = 3mm
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
If we write out the expression √4√6/√3√2, then we get the solution to the surd as 2.
<h3>What is a surd?</h3>
A surd is an irrational number which is often shown as a square root. In this case, we have the value; √4√6/√3√2.
This is the same as; 2√6/√6. This now implies that we can cancel out the surd form which is shown as √6 hence the result of the expression is 2.
Learn more about surd:brainly.com/question/24700530
#SPJ4
