Answer: 8008
Step-by-step explanation:
Total entrees = 16
Number of entrees to choose = 6
Since order does not matter , so we combinations .
Number of combinations to choose r things out of n = 
Then, total ways to choose 6 entrees = 

Hence, the required number of ways= 8008
Answer:
Reduction
Step-by-step explanation:
So, lets go over what we know:
The black rectnagle is the orginal shape.
The organe rectnalge is the new shape.
The organge rectangle is smaller than the black rectangle.
The rogane rectangle is a scaled image of the black rectangle.
So, enlargment is when a object has a scale factor that makes it bigger than the orgninal object.
Reduction, on the other hand, is when a object has a scale factor that makes it smaller than the orginal object.
As we can see, the organe rectnagle is much smaller than the black rectnalge.
So this must be reduction, since the organe rectangle has a small scale factor that causes the shape to shrink in size.
Hope this makes sense and helps you! :)
It is 0.037 so that mean you are right but no right
Answer:
x³ sin(x)
Step-by-step explanation:
Tabular method is a special form of integration by parts. It works by taking derivatives of u and integrals of dv. You multiply diagonally, then sum the results, alternating the signs.
The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0. So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:
d/dx (x³) = 3x²
d/dx (3x²) = 6x
d/dx (6x) = 6
d/dx (6) = 0