The different possible mixtures can you make is 1716
.
<u>Step-by-step explanation:</u>
Given that,
- The total number of flavors available in the shop = 13 flavors
- The number of flavors you need to choose = 6 flavors
Here, we have to use the formula for combination,
nCr = n! / r! × (n-r) !
where,
- n is the total number of flavors
- r is the number of flavors you need to choose
⇒ 13C6 = 13 ! / 6! × (13-6)!
⇒ 13! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1
⇒ 1716
Therefore, you can 1716 different possible mixtures.
Answer:
-7 degrees
Step-by-step explanation:
9am: 5 degrees(current temperature)
10am: 5-4=1 degrees(first hour)
11am: 1-4=-3 degrees(2nd hour)
12pm: -3-4= -7 degrees(3rd hour)
Step-by-step explanation:
f(x) = x² + 2x - 4
g(x) = 3x + 1
f(g(x)) = f(3x + 1)
f(3x + 1) = [3x + 1]² + 2[3x + 1] - 4
= 9x² + 6x + 1 + 6x + 2 - 4
= 9x² + 12x -1
Answer:
2
Step-by-step explanation:
12/6=2
2x6=12
