Answer:
50
Step-by-step explanation:
Using the experimental probability, first we have to find total amount paint then to find the amount of good quality forever paint we have to subtract the amounts of other paints from total amount.
Let x represents the amount of good quality forever paint sold.
Total amount of paint
...(i)
Experimental probability of paint sold will be better quality durable paint is


It is given that experimental probability of paint sold will be better quality durable paint is 


...(ii)
From (i) and (ii), we get



Therefore, 50 gallons good quality forever paint is sold.
Answer:
Step-by-step explanation:
Give the DE
dy/dx = 1-y
Using variable separable method
dy = (1-y)dx
dx = dy/(1-y)
Integrate both sides
∫dx = ∫dy/(1-y)
∫dy/(1-y)= ∫dx
-ln(1-y) = x+C
ln(1-y)^-1 = x+C
Apply e to both sides
e^ln(1-y)^-1 = e^,(x+C)
(1-y)^-1 = Ce^x
1/(1-y) = Ce^x
2 meters were used in 10 masks
2meters/10masks= 0.2meters per mask
Each piece is defined over some (limited) domain. When you are evaluating or graphing a piecewise function, you only evaluate or graph the function whose domain includes the variable value of interest.
Let

Step 
Find 

Divide by
numerator and denominator


Step 
Find 

Divide by
numerator and denominator


Step 
Find 


Divide by
numerator and denominator


In this problem
The geometric sequence formula is equal to

For 
therefore
the answer is
the common ratio for the geometric sequence above is 