The logarithmic expression is

To expand the expression we have to use some properties of logarithm.
We know that 
By using this property we can write,

Square root means to the power 1/2, so for
, we can write
.

Now we have to use another property of logarithm.
We know that, 
So we will use this property to 



Now we have to use another property of logarithm.
We know that, 
By using this property we can write,

This is the required aswer here.
Answer:
d. The farmer can make a habitat that is 40 feet wide and 100 feet long.
Step-by-step explanation:
The attached graph shows the inequalities and the various answer choices. The existence of the doubly-shaded area shows that answer choice C is false.
The appropriate choice is ...
d. The farmer can make a habitat that is 40 feet wide and 100 feet long.
Here you go, I hope this helps
Answer: See below
Step-by-step explanation:
From the figure attached below,
We know that by the SSS property, the two triangles are congruent

Using the property of congruence to find the measure of all these angles:
Therefore, the measure of the angles are:

Answer:
1067
Step-by-step explanation:
Given that:
Error (E) = 0.03
Confidence interval = 95% = 0.95
Sample size (n) = ((Zα/2) / Error)^2 * p(1 - p)
Since no assumption is given ; p = 0.5
α = 0.95
Z(1-α/2) = 1.96
(1.96 / 0.03)^2 * 0.5(1 - 0.5)
(65.333333)^2 * 0.5(0.5)
4268.4444 * 0.25
= 1067.1111
n = 1067