Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
Swimmer a swims 100 meters, which is 100 1-meters, which is 100
(1 yards +3.37 inches) = 100 yards + 337 inches.
1 yard is 3 feet, so 100 yards are 300 feet.
100 in is 8.33 feet so
337 in is (337*8.33)/100=28.07 feet
Swimmer b swims 100 yards, which is 300 feet
Swimmer a swam 28.07 feet.
Answer:
0.08 ounces is interpreted as the Mean Absolute Deviation and this means that
the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces.
Step-by-step explanation:
Mean Absolute Deviation of a data set is defined as the distance or the deviation between a given data set and the calculated mean.
Mean Absolute Deviation tells us about how much a data set varies from it's mean.
From the above question, we are told that after weighing 48 eggs we have a mean of 2.1 ounces and mean deviation of 0.08 ounces
Therefore this means that the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces
East to West distance in the map: 36 inches
Use of the scale: 36 in * 500 feet / in =18,000 feet
Conversion to miles: 18,000 feet * 1 mile / 5,280 in = 3.4 miles
Answer: 3.4
Answer:
The answer of the following question is m = \frac{C - b - bt}{r + rt}.
Solution:
C = (b + rm)(1 + t),
C = b + rm + bt + rmt
C = b + bt + rm + rmt
C - b - bt = m (r + rt)
\frac{C - b - bt}{r + rt} = m
t\neq -1,
r\neq 0
