Answer:
The equation is 
at a rate of -23%.
Step-by-step explanation:
Decay can be represented by the equation 
. We can find the rate at which it decays by using t=3 hours and A=3000. This means 
in this context.
After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know 
so we were able to cancel it out and divide both sides by 3.
We solve with a calculator 
We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.
The equation is
Answer:
Problem:
Solve 3x−y=6;y=x−4
Steps:
I will try to solve your system of equations.
y=x−4;3x−y=6
Step: Solvey=x−4for y:
Step: Substitutex−4foryin3x−y=6:
3x−y=6
3x−(x−4)=6
2x+4=6(Simplify both sides of the equation)
2x+4+−4=6+−4(Add -4 to both sides)
2x=2
2x
2
=
2
2
(Divide both sides by 2)
x=1
Step: Substitute1forxiny=x−4:
y=x−4
y=1−4
y=−3(Simplify both sides of the equation)
Answer:
y=−3 and x=1
Step-by-step explanation:
Hope this helped you
20x2 = 40 in width
180-40= 140
140/2=70
70 inches
Answer:
37.5
Step-by-step explanation:
Answer:
J 672 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is
V = l*w*h
V = 14 inches * 8 inches * 6 inches
V =672 inches^3
