<u><em>Answer:</em></u>
Radius of the ball is approximately 6.5 cm to the nearest tenth
<u><em>Explanation:</em></u>
The ball has the shape of a sphere
<u>Surface area of a sphere can be calculated using the following rule:</u>
Surface area of sphere = 4πr² square units
<u>In the given problem, we have:</u>
Surface area of the ball = 531 cm²
<u>Substitute with the area in the above equation and solve for the radius as follows:</u>
which is approximately 6.5 cm to the nearest tenth
Hope this helps :)
Answer:
![x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}](https://tex.z-dn.net/?f=x%5Cle%20%5C%3A-2%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-2%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-2%5D%5Cend%7Bbmatrix%7D)
Please check the attached number line graph.
The number line clearly indicates that the graph is heading towards negative infinity from -2.
Step-by-step explanation:
Given the inequality expression
x ≤ -2
The inequality symbol ' ≤ ' means 'less than or equal to'.
Thus,
x ≤ -2 means x is less than or equal to -2.
In other words,
![x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}](https://tex.z-dn.net/?f=x%5Cle%20%5C%3A-2%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-2%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-2%5D%5Cend%7Bbmatrix%7D)
Please check the attached number line graph.
The number line clearly indicates that the graph is heading towards negative infinity from -2.
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y. If the equation is written in the slope-intercept form, plug in the slope and the x and y coordinates for a point on the line to solve y. Hope this helped! :)
Answer:
529/55 and 57/2
Step-by-step explanation:
Density = mass/volume
Mass/density = volume
100g/19.3 g/cm^3 = 5.18 cm3