The point (2,3) is on the graph of y=f(x). Determine the corresponding coordinates of this point on the graph of y=-2(f(2(x+5)) -4

Angles x and y are located in the first quadrant such that sinx= 3/5 and cosy= 4/5. Determine the exact value of sin(x+y).

You have chosen an five-character password for an online account.  The characters can be a combination of UPPER CASE letters and lower case letters.

a)  How many possible passwords can be created?

21C5+21C15=? 

express in simple combinations

d(t)= 36/1+0.3(1.3)^t, t is greater than and equal to 0. How long does it take (to the nearest tenth) for the snowball to melt to to half its original diameter?

d(t)= 36/1+0.3(1.3)^t, tis greater than and equal to 0. How long does it take (to the nearest tenth) for the snowball to melt to to half itsoriginal diameter?

Find the equation for the following logarithmic equation

Exact solution(s) for sinx/2 if cosx=-12/13 and xE[pi, 3pi/2]

f(x)={(3,2),(5,1),(7,4),(9,3),(11,5)} and g(x)={(1,3),(2,5),(3,7),(4,9),(5,11)}

Find; a.) f(g(3) 

P(t)= -t^3+12t^2-21t+10 where p = 108000