Answer:
-2yx/15?
Step-by-step explanation:
Answer: x < -2
Step-by-step explanation:
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:
A
Step-by-step explanation:
Desmosssssssssssssssssss
Answer:
Slope: ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
y-intercept: 0
Step-by-step explanation:
First, find the slope. Use two points given to you. In this case, I will use the following:
(x₁ , y₁) = (2 , 5)
(x₂ , y₂) = (4 , 10)
Use the following equation:
slope (m) = ![\frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Plug in the corresponding numbers to the corresponding variables:
slope (m) =
= ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
Note the slope intercept form:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
Plug in the slope into m for the equation:
![y = \frac{5}{2} x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20x%20%2B%20b)
Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:
![5 = \frac{5}{2}(2) + b](https://tex.z-dn.net/?f=5%20%3D%20%5Cfrac%7B5%7D%7B2%7D%282%29%20%2B%20b)
Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:
![5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0](https://tex.z-dn.net/?f=5%20%3D%20%5Cfrac%7B5%7D%7B2%7D%282%29%20%2B%20b%5C%5C5%20%3D%205%20%2B%20b%5C%5C5%20%28-5%29%20%3D%205%20%28-5%29%20%2B%20b%5C%5Cb%20%3D%205%20-%205%5C%5Cb%20%3D%200)
Y-intercept: 0