Answer:
n = 8
Step-by-step explanation:
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
3n = 4 × 6 = 24 ( divide both sides by 3 )
n = 8
 
        
             
        
        
        
Answer:
Her speed is of 2 miles per hour.
Step-by-step explanation:
Velocity:
The velocity is given by the following formula:

In which v is the velocity, d is the distance and t is the time.
2/3 mile in 1/3 hour .
This means that 
Which unit rate describes antoinettes speed in miles per hour?
This is v. So

Her speed is of 2 miles per hour.
 
        
             
        
        
        
To solve the problem we must know the basic exponential properties.
<h3>What are the basic exponent properties?</h3>


![\sqrt[m]{a^n} = a^{\frac{n}{m}}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Ba%5En%7D%20%3D%20a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D)


The expression can be written as ![x^9\sqrt[3]{y}](https://tex.z-dn.net/?f=x%5E9%5Csqrt%5B3%5D%7By%7D) .
.
Given to us

Using the exponential property ,
,

Using the exponential property ![\sqrt[m]{a^n} = a^{\frac{n}{m}}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Ba%5En%7D%20%3D%20a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D) ,
,
![=x^9\times y^\frac{1}{3}\\\\=x^9\times \sqrt[3]{y}\\\\=x^9 \sqrt[3]{y}](https://tex.z-dn.net/?f=%3Dx%5E9%5Ctimes%20y%5E%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3Dx%5E9%5Ctimes%20%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C%3Dx%5E9%20%5Csqrt%5B3%5D%7By%7D)
Hence, the expression can be written as ![x^9\sqrt[3]{y}](https://tex.z-dn.net/?f=x%5E9%5Csqrt%5B3%5D%7By%7D) .
.
Learn more about Exponent properties:
brainly.com/question/1807508