Answer:
62.77 million gallons
Step-by-step explanation:
Given,
The function that shows rate of leaking oil per minute in after t hours,
∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,
Hence, the quantity of oil leaked out in the first 3 hours,
![=0.7[tan^{-1}(t)]_{0}^{180}](https://tex.z-dn.net/?f=%3D0.7%5Btan%5E%7B-1%7D%28t%29%5D_%7B0%7D%5E%7B180%7D)
= 62.77 million gallons
Answer:
Step-by-step explanation:
Answer: 12 students per year
Step by step:
In order for you to find the average yearly drop you would divide the amount of students that stopped attending by the yearly period 60 students/5 years
Hope this helps!
Please tell me if I am incorrect, I enjoy learning from my mistakes!
Good luck!
(please mark brailiest if I am correct I am trying to get up to the next level)
Answer: 2, 6
<u>Step-by-step explanation:</u>
Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.
RS + ST > RT and RS + RT > ST and ST + RT > RS
2x + 4x > 12 2x + 12 > 4x 4x + 12 > 2x
6x > 12 12 > 2x 12 > -2x
x > 2 6 > x -6 < x
2 < x x < 6 invalid
Answer: 2 < x < 6
Graph: O----------------------O
2 6
<em> Note: -6 is invalid because you cannot have a negative length. </em>
Inverse variation is of the form y=k/x or if you prefer yx=k.
z=6.3 bar I assume you mean 6.33333333 forever
10z-z=63.3333...-6.3333
9z=57
z=57/9 (exact)
Now back to the problem...
xz=k, we are told x=3 and we have shown z=57/9 so we can solve for k, the constant of variation
k=3(57/9)=19
So our equation is:
xz=19, now we wish to know what z is when x=8 so
8z=19 divide both sides by 8
z=19/8
z=2.375 (exact, no rounding necessary)
