45/5 simplifies to 9/1 so the answer would just be 9
When two functions vary inversely with each other, they are usually in the form y = k / x, where k is the constant of proportionality.
To find the equation for the inverse variation, find the constant of proportionality. Do that by substituting the values for x and y into y = k / x and solving for k.
y = k / x
4 = k / 6
24 = k
Answer:
The constant of proportionality is 24. The equation for the inverse variation is y = 24/x.
Answer:
Option B.
Step-by-step explanation:
Option A.
f(x) = 
Derivative of the given function,
f'(x) = 
= ![(0.5)^x[\text{ln}(0.5)]](https://tex.z-dn.net/?f=%280.5%29%5Ex%5B%5Ctext%7Bln%7D%280.5%29%5D)
= 
Since derivative of the function is negative, the given function is decreasing.
Option B. f(x) = 
f'(x) = 
= ![(5)^x[\text{ln}(5)]](https://tex.z-dn.net/?f=%285%29%5Ex%5B%5Ctext%7Bln%7D%285%29%5D)
= 
Since derivative is positive, given function is increasing.
Option C. f(x) = 
f'(x) = 
= 
= 
Since derivative is negative, given function is decreasing.
Option D. f(x) = 
f'(x) = ![-15^{-x}[\text{ln}(15)]](https://tex.z-dn.net/?f=-15%5E%7B-x%7D%5B%5Ctext%7Bln%7D%2815%29%5D)
= 
Since derivative is negative, given function is decreasing.
Option (B) is the answer.
Yes it is 20 ft. 4 3 foot planks is 12ft. and 6 16 in planks are 96 inches, which divided by 12 is 8 (feet) so 12 + 8 is 20
Answer:
The answer is 50.27. I'm sorry if it's wrong.
Step-by-step explanation:
A=πr2=π·42≈50.26548