Answer:
4.950 m
Step-by-step explanation:
3.5^2+3.5^2=hypotenuse^2
Answer:
L(min) = 125 ft
Dimensions of the pens
biggest side x /2 = 31.225 ft
shorter side w = 20.82 ft
Step-by-step explanation:
Let call w width of the pen ( the shorter side )
Let call x the biggest side of the two pen.
The configuration we get is that we will use 3 times w + just one side of x
Then total length of fence is
L = 3*w + x (1)
And area of one pen is A = (x/2)* w and that area have to be 650 ft²
650*2 = x*w ⇒ w = 1300/x
So to get L as function of x we plugg this value in equation (1)
L(x) = 3* 1300/x + x
Taking derivatives on both sides of the equation
L´(x) = -3900/x² + 1
L´(x) = 0 ⇒ x² = 3900 ⇒ x = 62.45 ft
and w = 1300/x w = 20.82 ft
And the least amount of fence is
L(min) = 3* 20.82 + 62,45
L(min) = 62.45 + 62.45
L(min) = 125 ft
Answer:
12 months
Step-by-step explanation:
Based on the question
4 books equals to 5 months
x books equals to 15months
To determine the value of X we will have to cross multiply,it means
5x=15×4
5x=60
Divide both sides by 5
x=12
Therefore,x=12
Which means 12 books equals to 12 months
We can see that the function passes through the point
. This implies that
![\log_b(2)=-1](https://tex.z-dn.net/?f=%5Clog_b%282%29%3D-1)
or, equivalently,
![b^{-1}=2 \iff \dfrac{1}{b}=2 \iff b=\dfrac{1}{2}](https://tex.z-dn.net/?f=b%5E%7B-1%7D%3D2%20%5Ciff%20%5Cdfrac%7B1%7D%7Bb%7D%3D2%20%5Ciff%20b%3D%5Cdfrac%7B1%7D%7B2%7D)
The same conclusion could have been reached by observing that the function passes through ![\left(\frac{1}{2},1\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%2C1%5Cright%29)