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1.f(x)=2 sin (x-​π/​4)

2.f(x)=sin (x+π/​3)

3.f(x)=3 cos (x+π/​6)

4.f(x)=2 cos (x-2π)

5.f(x)=tan x



a x b) x c, if a = 11, b = 9, and c = 1?


The coordinate grid below shows the graph of supply and demand functions for the sales of wooden chairs. For the functions, x

x represents the number of chairs, in hundreds, and y

y represents the price of each chair, in dollars.

The equilibrium point for the functions can be found by locating the point where the two functions are equal. Which of these appears to be the number of chairs, in hundreds, that must be sold to achieve equilibrium?


Fill in the missing operations and numbers that makes the equation true

a) 12.3 + ( 5 + 7 ) = 5 + 7 ........... 12.3

b) ................. ( 1/2 + 2/3 ) = 5/7( 2/3 + 1/2 )


A vehicle travels 4000 meters in 200 seconds toward the evening sun. What is its speed?



on the day a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. Assume the number of viewers continues to double each day. what strategy would you use to find the first day when more then 20,000 people will see the video(if the trend continues)


The eight term of a geometrical progression is –7/32. Find it's common ratio if it's first term is 28.


find the value of x and y if Log base x 13 + log base y 21= 25


The second and fifth term of a geometrical progression are 3 and 1/81 respectively . Find the common ratio of the first term and the eight term.


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