Answer:
0.4 acres are available for 50 cows.
Step-by-step explanation:
As it is given that:
Number of cows is inversely proportional to amount of land.
[Inversely proportional means that when one quantity is increased, other is decreased respectively]
Now the scenario is:
COWS ACRES
10 2
50 X
As they are inversely proportional so for finding X the equation will be:
10/50=X/2
(10/50)*2 =X
20/50 = X
0.4 = X
So there would be 0.4 acres available for each cow.
Answer:
$31.20
Step-by-step explanation:
40% of 78 is 31.2
8^-5 / 8^-3
= (1/8^5 ) / (1/8^3)
=1/8^2
answer is <span>A. one divided by the quantity eight squared</span>
Using the profit function, it is found that:
a) She earns $36 after 25 years.
b) The function was shifted right 4 units and up 1 units.
<h3>What is the profit function?</h3>
The profit, in x years after 2015, is given by:
![p(x) = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=p%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
Item a:
She earns $36 after x years, considering x for which p(x) = 36, hence:
![36 = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=36%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
![\sqrt[3]{x + 2} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%3D%203)
![(\sqrt[3]{x + 2})^3 = 3^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%29%5E3%20%3D%203%5E3)
She earns $36 after 25 years.
Item b:
The new function is:
![h(x) = 12\sqrt[3]{x - 2} + 1](https://tex.z-dn.net/?f=h%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20-%202%7D%20%2B%201)
At the domain, we have that 
, that is, 
, hence it was shifted right 4 units.
At the range, we have that 
, hence it was shifted up 1 unit.
You can learn more about functions at brainly.com/question/24380382
There are linear relationships so long as the power of x is 1 when power of y is 1 / power of x is not 2 and above when power of y is 1. This is assuming you plot the vertical axis as y-axis and the horizontal axis as the x-axis.
So using this concept, the equation with linear relationships are:
1, 3, 4, and 5.
Hope this helps! :)
