Answers
1. X= -10/3
2. X= 14
3. true
Answer:
75.40 cm²
Step-by-step explanation:
SA = 2πrh + 2πr²
SA = 2π(2)(4) + 2π(2)²
SA = 50.27 + 25.13
SA = 75.40 cm²
Answer:
28, 56
56
Step-by-step explanation:
a
To solve this, we use the combination rule.
nCk = n!/k!(n-k)! where
n is the number of options (8) k is the number of slots (2).
Assuming the order doesn't matter, then
8C2 = 8! / 2!(8-2)!
8C2 = 8! / 2! 6!
8C2 = 40320 / 2 * 720
8C2 = 40320 / 1440
8C2 = 28
If the order does matter, then we use permutation instead.
nPk = n!/(n-k!) where n = 8 and k =2 8P2 = 8! / 6!
8P2 = 40320 / 720
8P2 = 56
b
We are told that there exist 8 ways to choose a president and a vice president. This means that, after choosing a president from 8 people, there remains 7 people to choose his vice from. Thus, the number of ways to choose a president and his vice are 8 * 7 = 56
Answer:
The rate of change is 1$
Step-by-step explanation:
Jose is getting one dollar a day (the only thing in the equation that is changing)
square root is 74.986
round that to the tenth and get 74.99
74.99^3=421706.2725