By De Moivre's theorem,
We can stop here ...
# # #
... but we can also express these trig ratios in terms of square roots. Let 
and let 
. Then recall that
On the left, 
so that
Since 
, we're left with
because we know to expect 
. Then from the Pythagorean identity, and knowing to expect 
, we get
Both 
and 
are 
-periodic, so that
and
so that the answer we left in trigonometric form above is equal to
One worker<span> produces an average of 84 units per </span>day<span> with a street </span>What is the probability<span> that in any </span>single day worker 1 will outproduce worker 2<span>? A) 0.1141.
</span>
Answer, factory worker productivity<span> is </span>normally distributed<span>. </span>One worker produces<span> an </span>average<span> of 75 </span>units per day<span> with a standar, day with a </span>standard deviation<span> of 20. </span>Another worker produces<span> at an </span>average rate<span> of 65 </span><span>per day.
</span>
Answer:
If dinner cost 31 British pounds than $38.78 would be the cost in U.S. dollars.
I hope this helps!
The easiest way to work this is to note that the a Sine wave is zero when it starts at zero, but this one starts before x=zero. Its transformation is moved left, so its phase shift is positive.
And that is amplitude is 1/2 of its minimum to maximum value (40) which equals 20. this says that is shifted upwards by 25.
So B. is the answer.
we have
using a graph tool
see the attached figure
So
1) the domain of the function is all real numbers-----> interval (-∞,∞)
2) the range of the function is the interval [-1, ∞)
3) the function decrease on the interval (-∞,2)
4) the function increase on the interval (2,∞)
5) the function has two x-intercepts-----> (1,0) and (3,0)
6) the function has one y-intercept-----> (0,1)
therefore
the graph in the attached figure
