Answer:
V = 240 pi
Step-by-step explanation:
We want the volume of a cylinder
V = pi r^2 h
We have the diameter and want the radius
r = d/2 = 8/2 = 4
V = pi ( 4)^2 * 15
V = pi * 16* 15
V = 240 pi
Let pi = 3.14
V =753.6 cm^3
Let pi be the pi button
V =753.9822369 cm^3
Answer:
While it's true that quadratic functions have no domain restrictions, the range is restricted because x2 ≥ 0. The correct answer is: The domain is all real numbers and the range is all real numbers f(x) such that f(x) ≥ 7.
Step-by-step explanation:
Answer:
um can i see the statements?
Step-by-step explanation:
An isotherm on a geographic map is a type of
equal temperature at a given date or time. And if we talk about thermodynamics,
it is a curve on a Pressure – Volume diagram at a constant temperature.
Basing from the graph, we can actually see that
the interval is:
10 <span>Fahrenheit degrees</span>
For this case we must find the solution set of the given inequalities:
Inequality 1:
![3 (2x + 1)> 21](https://tex.z-dn.net/?f=3%20%282x%20%2B%201%29%3E%2021)
Applying distributive property on the left side of inequality:
![6x + 3> 21](https://tex.z-dn.net/?f=6x%20%2B%203%3E%2021)
Subtracting 3 from both sides of the inequality:
![6x> 21-3\\6x> 18](https://tex.z-dn.net/?f=6x%3E%2021-3%5C%5C6x%3E%2018)
Dividing by 6 on both sides of the inequality:
![x> \frac {18} {6}\\x> 3](https://tex.z-dn.net/?f=x%3E%20%5Cfrac%20%7B18%7D%20%7B6%7D%5C%5Cx%3E%203)
Thus, the solution is given by all the values of "x" greater than 3.
Inequality 2:
![4x + 3](https://tex.z-dn.net/?f=4x%20%2B%203%20%3C3x%20%2B%207)
Subtracting 3x from both sides of the inequality:
![4x-3x + 3](https://tex.z-dn.net/?f=4x-3x%20%2B%203%20%3C7%5C%5Cx%20%2B%203%20%3C7)
Subtracting 3 from both sides of the inequality:
![x](https://tex.z-dn.net/?f=x%20%3C7-3%5C%5Cx%20%3C4)
Thus, the solution is given by all values of x less than 4.
The solution set is given by the union of the two solutions, that is, all real numbers.
Answer:
All real numbers