Answer: In 3
SOLVINGS
What is 3 ln 3 - ln 9 expressed as a single natural logarithm
Since ln (m^n) = n⋅ln (m) … natural logarithmic property
We can further simplify the expression 3 ln 3
3 In 3 = In (3^3)
Therefore, 3 ln 3 - ln 9 = In (3^3) – In 9
Since ln(m/n) =ln(m) – ln(n) … natural logarithmic property
We can further simplify the expression In (3^3) – In 9
In (3^3) – In 9 = In [(3^3)/(9)]
= In (27/9)
= In 3
Therefore, 3 ln 3 - ln 9 expressed as a single natural logarithm is In 3.
Answer:
Option B. 8.6%
Step-by-step explanation:
Simple index of two stocks: i=?
i=[(5,000*5.1+2,500*7.45)/(5,000*4.5+2,500*7.25)-1]*100%
i=[(25,500+18,625)/(22,500+18,125)-1]*100%
i=[(44,125)/(40,625)-1]*100%
i=[1.086153846-1]*100%
i=[0.086153846]*100%
i=8.6153846%
i=8.6%
We know that
Inverse Variation is a<span> relationship between two variables in which the product is a constant
so
let
x------> a pitch of a musical instrument
y------> </span><span>the wavelength
x*y=k
find the value of k
for x=</span><span>220 hertz y=3 ft
</span><span>x*y=k
220*3=k
k=660
</span>for x=165 hertz y=4 ft
x*y=k
165*4=660
k=660<span>
the answer part a) is
</span><span>the type of variation between pitch and wavelength is an inverse variation
</span>
part b) <span>What is the pitch when the wavelength is 5 feet?
x=?
y=5 ft
k=660
x*y=k------> solve for x
x=k/y----------> x=660/5-----> x=132 hertz
the answer Part b) is
132 hertz</span>
Answer:
Domain= how many boxes there are from each circle to the other, and the range is basically the height. In this case, Domain= 8, Range=2
