35 times, because you add 4+3+6 which gives you 13. Then you find the probability of getting bananas which is 0.35. Then you muliply by 100 which gives you 35.
x³ - x² +4x -10 = 0 (next time fix your mismatched parenthesis)
Lagrangian:

where the function we want to minimize is actually

, but it's easy to see that

and

have critical points at the same vector

.
Derivatives of the Lagrangian set equal to zero:




Substituting the first three equations into the fourth gives


Solving for

, we get a single critical point at

, which in turn gives the least distance between the plane and (0, 2, 5) of

.
Step-by-step explanation:
The cosine double angle formula tells us that cos(²θ) is always equal to cos²θ- sin²θ. For example cos(60) = cos²(30) - sin² (30). We can use this identity to rewrite expressions or solve problems
The first one = 12 and the second one = 18.
the reason why they have different answers is because of PEMDAS.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
For the first equation we gave to multiply the exponent (2) to the number (3) because that’s the order of PEMDAS. So, 3x2=6 then + 6=12.
For the second equation there are parentheses, which means we solve the equation inside the parentheses first because of PEMDAS. So, 6+3=9 then x 2 =18.
They have different answers because they are ordered in different ways . PEMDAS controls the order we solve equations in.
Hope this helped:)))