<u>Given</u>:
Let x represents the radius of the cylinder.
Given that the height of the cylinder is twice the radius of its base.
The height of the cylinder is 2x.
We need to determine the volume of the cylinder.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,

Substituting r = x and h = 2x, we get;

Simplifying, we get;


Thus, the expression that represents the volume of the cylinder is 2πx³ cubic units.
Hence, Option b is the correct answer.
Answer:
$5x + $4y ≤ $120
let x = 10
y = 5
$70 ≤ 120
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater or equal to
≤ means less than or equal to
the total amount Shanley has is $120. She can spend less than this amount or the amount exactly. So, the inequality sign to be used is ≤
$5x + $4y ≤ $120
let x = 10
y = 5
(50) + 20 ≤ 120
$70 ≤ 120
The answer would be C: 5^4
<span> 4×10^7
------------ = 0.5 x 10^4 = 5000
</span><span> 8×10^3
answer
</span><span>3. 5000</span>
<span>The correct answer is option B. i.e. (1,-10) two equations are y = -x^2 - 5x - 4 and y = -x^2 + 9x - 18. Now, equating both the equations we get, -x^2 - 5x - 4 = -x^2 + 9x - 18 or 14 x= 14 or x = 1. Now, y = -1 -5 -4 = -10.</span>