4 to the 18th power is the answer to your question.
If X is the number of hats . . . reading backwards . . .
Thursday = Wednesday + Tuesday
17 = 1/2 X + 5
Solving:
17 - 5 = 1/2 X
12 = 1/2 X
24 = X
So she had 24 on Monday.
Tan²( θ ) - (1 + √3) tan (θ) + √3 = 0
tan²( θ ) - (tan (θ) + √3 tan (θ)) + √3 = 0
tan²( θ ) - tan (θ) - √3 tan (θ) + √3 = 0
tan( θ ) ( tan (θ) - 1) - √3 ( tan (θ) - 1 ) = 0
( tan( θ ) - 1 ) ( tan( θ ) - √3 ) = 0
tan( θ ) - 1 = 0
θ = π/₄
tan( θ ) - √3 = 0
θ = π/₃
so θ = π/₄ and θ = π/₃
Answer:
1.) ???
2.) (2x+3y)(2x-3y)=4x²-9y²
Based on the given conditions, formulate: 200x3/15/4
600/15x4
600/60
Answer is 10