You didn't include the function.
If the function is, V = 20,000 (1 - t/20)^2, as you can see, for t = 20, V = 0
Then I am going to show you the work with that function, and you can use the same procedure with your own fucntion.
The rate of change of the volume is the derivative of the function with respect to the time.
[dV/dt] = 20,000 *2 [1 -t/20] * [-1/20] = - 2000 [1 - t/20] = 2000[t/20 - 1]
At t = 3
dV/dt = 2000[3/20 - 1] = -1700 gallons / min
The negative sign mean decreasing.
The answer is - 1700 gallons / min
Now, for the same function, if the time is t = 2, you would obtain one of the results of the list of options.
dV/dt = 20,000 [2/20 - 1] = -1800 gallons/minute, which is the option D of the list.
140 is a composite number. Factor pairs: 140 = 1 x 140, 2 x 70, 4 x 35, 5 x 28, 7 x 20, 10 x 14. Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. Prime factorization: 140 = 2 x 2 x 5 x 7, which can also be written 140 = 2² x 5 x 7
Answer:
Isaac traveled 12.8 miles by taxi for $27.46.
Step-by-step explanation:
The formula required here is
$2.50 + ($1.95/mile)x = $27.46.
We need to solve this for x, the number of miles traveled:
Subtract $2.50 from both sides, obtaining:
($1.95/mile)x = $24.96
Now divide both sides by ($1.95/mile):
$24.96
------------------ = 12.8 miles
($1.95/mile)
Isaac traveled 12.8 miles by taxi for $27.46.
In the equation W is the variable
The magnitude size of -5.8 is 5.8
magnitude size of a number is the number itself, and if it’s negative, it becomes its absolute value (in other words, you remove the subtraction sign).