Answer:
The concentration of salt in the tank approaches
Step-by-step explanation:
Data provide in the question:
Water contained in the tank = 8000 L
Salt per litre contained in Brine = 35 g/L
Rate of pumping water into the tank = 25 L/min
Concentration of salt
Now,
Dividing both numerator and denominator by , we have
Here,
The concentration of salt in the tank approaches
Answer:
Step-by-step explanation:
Let
r ----> the number of readers (y-coordinate or dependent variable)
t ----> the number of years after 2000 (x-coordinate or independent variable)
Remember
2004 ----> represent t=4 years
2014 ----> represent t=14 years
we have the ordered pairs
(4,1,000,000) and (14,2,000,000)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Convert to slope intercept form
isolate the variable r
step 4
Convert to function notation
Answer: The probability that the fourth marble Amy picks is black
The probability that in the fifth attempt she will pick a red or a black marble P(R∩B) =
Step-by-step explanation:
To find the probability that in the fifth attempt she will pick a red or a black marble P(R∩B) .
The total marble in beginning=6+4+8=18
After 3 attempts, the total marbles left=18-3=15
The number of black marbles =8
The probability that the fourth marble Amy picks is black
As four marble has already picked up, then the total marbles left in the box
=18-4=14
Now, as a red marble is already picked in 1st attempt , the number of red marbles in the box now= 4-1=3
And a black marble is already picked in fourth attempt , the number of black marbles in the box now= 8-1=7
Now P(R∩B)=P(R)+P(B)=