645 feet.
Explanation:
We know that are 3 feet in a yard, so let's set up a proportion to solve this
x215
3 feet n
-------- = -----------
1 yard 215 yards
x 215
We are solving for n. To get from 1 to 215, we multiply by 215. So to get from 3 to the answer, we must multiply by 215 as well. 3 x 215 = 645, therefore that is the answer.
Because the left side is eclipsed in an absolute value, we have two possible values of x, denoted by:
2x+4 = 12 and -(2x+4) = 12
Solving for both of these, we are presented with the two values of x:
x = 4 and x = -8
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
Just think 200% = 2x, so 2x of 18 = 36. Now for the 20%. Thats one fifth, so just do 18/5 and you have your answer when you add those together
Hello!
A) y-intercept is 5 x-intercept is 5
B) Slope=1
C) y=mx+b
=1(4)+ 6
Hope this Helps! Have A Wonderful Day! :)
