Well they give you the equation and they want you to solve for time given that you know the amount of water in the tank. They tell you T=274 and that
T=450-8m so using the value T=274 in the equation to the left gives you:
274=450-8m subtract 450 from both sides
-176=-8m divide both sides by -8
22=m
So 22 minutes have passed when there is 274L remaining...
Answer:
9.9
Step-by-step explanation:
\text{Volume of Hemisphere}\text{:}
Volume of Hemisphere:
\,\,257
257
\text{Volume of Sphere}\text{:}
Volume of Sphere:
\,\,514
514
Double volume of hemisphere to get volume of the entire sphere
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
514=
514=
\,\,\left(\frac{4}{3}\pi\right) r^3
(
3
4
π)r
3
514=
514=
\,\,(4.1887902)r^3
(4.1887902)r
3
Evaluate 4/3pi in calc
\frac{514}{4.1887902}=
4.1887902
514
=
\,\,\frac{(4.1887902)r^3}{4.1887902}
4.1887902
(4.1887902)r
3
Evaluate \frac{4}{3}\pi
3
4
π in calc
122.7084611=
122.7084611=
\,\,r^3
r
3
\sqrt[3]{122.7084611}=
3
122.7084611
=
\,\,\sqrt[3]{r^3}
3
r
3
Cube root both sides
4.9692575=
4.9692575=
\,\,r
r
\text{Then the diameter equals }9.938515
Then the diameter equals 9.938515
diameter is radius times 2
\text{Final Answer:}
Final Answer:
d\approx 9.9\text{ m}
d≈9.9 m
Round to nearest tenth
Answer:
-2,3 cus its in the second plane (top left)
Step-by-step explanation:
give this brainliest if correct and u aced ur test :)
Answer:
The domain is:
x: (-∞, 0] U (0, ∞)
The range is
y: [0, ∞)
Step-by-step explanation:
These types of functions are known as piecewise functions. It has two pieces of functions, you must graph both pieces for each interval.
First, graph:
y = -x for x from -∞ to x = 0
Note that y = -x is the equation of a negative slope line = -1 that passes through the origin
Second, graph:
y = x for x from x = 0 to ∞
Note that y = x is the equation of a positive slope line = 1 that passes through the origin.
The graph of this function is shown in the attached image. Note that it matches the absolute value graph of x.
y = | x |
In this function y it is always positive, and x can be any real number.
Therefore the domain is:
x: (-∞, 0] U (0,∞)
The range is:
y: [0, ∞)
