Answer:
The time t is the independent variable while the volume V is the dependent variable
Step-by-step explanation:
A variable is a parameter that changes.
We have two types namely dependent and independent variables.
A dependent variable is a variable which its value needs to be determined based on the value of another variable while and independent variable is a variable which its value independent of other parameters.
In our question, It takes 1 hour (t) to fill the water tank of volume (V) 750 m3.
The volume of the tank V changes as time changes. So the volume of the tank V is dependent on time, t.
So V is proportional to t
Since the volume of the tank is the variable that needs to be determined based on another variable-which is time,t- it is the dependent variable, while the time,t is the independent variable since its value is not determined based on other parameters.
<span>Least Common Denominator (LCD) is the least number which all the denominators can divide without remainder. The given denominators are 2, 16 and 8. The least number 2, 16 and 8 will divide without remainder is 16. Therefore, to express the fractions 1/2, 3/12, and 7/8 with an LCD, we multiply both the numerator and the denominator of each of the fractions with a common factor that makes the denominator to be 16. Therefore, 1/2, 3/16 and 7/8 expressed with an LCD are (1 x 8) / (2 x 8), 3/16, (7 x 2) / (8 x 2) = 8/16, 3/16, and 14/16.</span>
Answer:
Step-by-step explanation:
d(t)=-2t^2+9t+18
calculate the derivate : f'(t) = - 4t+9
f'(t) = 0 : - 4t+9= 0 so t = 9/4
the maximum value is f(9/4) = ....... continue
Answer:
Step-by-step explanation:
f(x) = x^2 + 3x - x/2
f(x) = x^2 + 2.5x
- 3x - 1/2x =
- 6x/2 - 1/2x =
- 5x/2 =
- 2.5x
f(6) = 6^2 + 2.5*6
f(6) = 36 + 15
f(6) = 51
