You want log √(9/25). Recognizing that √9 = 3 and that √25 = 5, we get
log 3/5, which by rules of logs comes out to log 3 - log 5.
To four decimal places:
log 3 - log 5 = 0.4771 - 0.6990, or -0.2218.
Answer: 
Step-by-step explanation:
We need to use the following formula to find the Midpoint "M":
Given the points (-5,13) and (6,4) can identify that:
The final step is to substitute values into the formula.
Therefore, the midpoint of the segment between the points (-5,13) and (6,4) is:
Height without rounding - 5.89
5.89
Rounded - 5.9 feet tall
Recall Euler's theorem: if 
, then
where 
is Euler's totient function.
We have 
- in fact, 
for any 
since 
and 
share no common divisors - as well as 
.
Now,
where the 
are positive integer coefficients from the binomial expansion. By Euler's theorem,
so that
Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
