For every 3 squares there are 2 circles
Answer:
- x ≥ 0: x|x| = x²
- x < 0: x|x| = -x²
Step-by-step explanation:
<u>For x ≥ 0</u>
|x| = x
so
x|x| = x(x) = x²
<u>For x < 0</u>
|x| = -x
so
x|x| = x(-x) = -x²
Answer:
Step-by-step explanation:
You need to find the HCF of 36 and 90.
<u>Prime factors of each:</u>
<u>HCF includes all prime factors of both numbers:</u>
- HCF(36, 90) = 2*2*3*3*5 = 180
Answer:
35 different routes
Step-by-step explanation:
The problem of how many different routes are possible if a driver wants to make deliveries at 4 locations among 7 locations is a combination problem.
Combination problems are usually selection problems, of all or part of a set of options, without considering the order in which options are selected.
The number of combinations of n objects taken r at a time is: ⁿCᵣ
So, the number of ways the driver can make deliveries at 4 locations out of 7 locations of given by
⁷C₄ = 35 different ways.
Hence, 35 different routes are possible to make deliveries at 4 locations out of 7 locations.
Hope this Helps!!!
Answer:
Therefore, Steve will paint house for 20.6 days.
Step-by-step explanation:
We know that Steve determines that it would take them 9 days to paint the house together (if they were both healthy) and that it would take Janet (when healthy) 16 days to paint the house alone.
We conclude that in 1 day Janet painted 1/16 of the house. In nine days, Janet painted 9/16 of house.
So, 7/16 of house paint Steve in nine days.
We have the following proportion:
Therefore, Steve will paint house for 20.6 days.
