In this item, we are informed that the order of the entries does not matter in determination the number of ways in which the Archie can choose for his party. Because the arrangement or order is not important, this type of problem uses the concept of COMBINATION.
The equation for combination is,
nCr = n!/((n - r)!(r!))
nCr is read as "combination of n taken r".
Substituting the known values to the equation,
15C6 = 15! / ((15 - 6)!(6!))
= 5005
Hence, there are 5005 ways in which Archee can choose the 6 entrees for his party.
Answer:
According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take
Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where
Step-by-step explanation:
B has the same denominator so there is your answer
Answer:
D.
Step-by-step explanation:
The 4 is in the hundredths place, so it represents 4 hundredths, or 4 x 1/100.
Answer:
The number you would add to both sides of the equation to use the "Completing the Square" method would be 16.
Step-by-step explanation:
To find the number to add to both sides of an equation to complete the square, divide the first-degree term's coefficient by 2 and square your remainder. In this case, the coefficient of the first-degree term is -8. After dividing by 2 and squaring it, you'll get 16, so that is the number you must add to both sides of the equation in order to complete the square.
