The full tank has a volume of x litres.
The tank is 1/6 full, so it has (1/6)x litres of gasoline.
Now you add 8 litres. The tank now has (1/6)x + 8 litres.
It is now 1/4 full. 1/4 full means it has (1/4)x litres.
Therefore, (1/6)x + 8 must equal (1/4)x.
(1/6)x + 8 = (1/4)x
Multiply both sides by the LCD which is 12.
12(1/6)x + 12(8) = 12(1/4)x
2x + 96 = 3x
Subtract 2x from both sides.
96 = x
x = 96
Answer: The tank holds 96 litres.
Answer:
a. 38.19m/s
b. 38.605m/s
c. 38.937m/s
d. 39.0117m/s
e. 39.01917m/s
Step-by-step explanation:
The average velocity is defined as the relationship between the displacement that a body made and the total time it took to perform it. Mathematically is given by the next formula:
Where:
a. Let's find h(3) and h(4) using the data provided by the problem:
The average velocity over the interval [3, 4] is :
b. Let's find h(3.5) using the data provided by the problem:
The average velocity over the interval [3, 3.5] is :
c. Let's find h(3.1) using the data provided by the problem:
The average velocity over the interval [3, 3.1] is :
d. Let's find h(3.01) using the data provided by the problem:
The average velocity over the interval [3, 3.01] is :
e. Let's find h(3.001) using the data provided by the problem:
The distance between the horizontal legs be the distance between the 'x' values '-5' and '2'. 2+5=7 (It is +5 because the distance between -5 and 0 is 5*)
The distance between the horizontals is 7
Same with the vertical points, as the distance is 2. (1+1=2)
Considering that the pythagorean theorem is the a^2+b^2=c^2, and 'a' and 'b' are the sides, then you plug in '7' and '2', making the equation 7^2+2^2=c^2
49+4=c^2
53=c^2
c=sqrt(53)
Hope this helps.