Answer:
Step-by-step explanation:
3.8×10^{-5}:8.1×10^3
V = 1/3 * 3.14 * 6 * 2^2 = 25.12 in^3
The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²) + 4x² = 1
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
In polar form:
r = √(x² + y²) and cosФ = x / √(x² + y²)
Hence:
r(1 - 2cosФ) = 1
√(x² + y²) [1 - 2(x / √(x² + y²))] = 1
√(x² + y²) - 2x = 1
Take square of both sides:
x² + y² - 4x√(x² + y²) + 4x² = 1
The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²) + 4x² = 1
Find out more on equation at: brainly.com/question/2972832
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: Solve<span> the equation for </span>y<span>. </span>Then find the value<span> for </span>y for each value x. 6x=7-4y<span>; </span>x<span>= ... You </span>can<span> put this </span>solution<span> on YOUR website! 6x=7-</span>4y 4y<span>=-6x+7 </span>4y/4=(-6x+7)/4 y=(-6x+7)/4<span>===================== </span>x=-2 y=(-6(-2)+7)/4 y=(12+7)/<span>4</span>
Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given by:
Aspherical balloon has a radius of 6 feet, hence the volume is:
It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:
It will be completely empty when:
Rounding, it will take 24 hours for the balloon to become completely empty.
More can be learned about the volume of a sphere at brainly.com/question/25608353
