She can expect to pick a black marble 125 times
Answer: 144 inches squared
Step-by-step explanation:
10x12=120
6x8x0.5=24
120+24=144
Answer:

Step-by-step explanation:
we know that
In the function f(x) the inflection point is at 
In the function g(x) the inflection point is at 
so
the rule of the translation of f(x) to g(x) is equal to

That means-----> the translation is
units to the right and
units down
The equation of g(x) is equal to

therefore

Answer:
0, π, 7π/6, 11π/6 on the interval 0 ≤ ø <2π.
Step-by-step explanation:
sinø + 1 = cos2ø
Use the identity cos 2o = 1 - 2 sin^2 o:
sin o + 1 = 1 - 2 sin^2 o
2sin^2 o + sin o + 1 - 1 = 0
2 sin^2 o + sin o = 0
sin o (2 sin 0 + 1) = 0
Therefore sin o = 0 or sin o = -1/2.
For sin o = 0 , o = 0, π radians.
For sin o = - 1/2, o = 7π/6, 11π/6 radians.