Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:
Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in 
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:
If 
and 
, then:
Then, the expression is 
. Finally, if 
, then the time is:
The stone would take approximately 10.107 seconds to fall 500 meters.
Hello from MrBillDoesMath!
Answer: N = 143
Discussion:
This one took some trial and error! At first I listed all 2 digit primes, looked at the list, but didn't know how to proceed. So, I took the smallest 2 digit primes numbers: 11 and 13 and wondered if their product, 13*11 = 143, could be represented as the sum of 3 consecutive primes. I went back to my list of primes, added groups of three consecutive numbers that seemed to be in the right range to give the desired sum, and stumbled on 43, 47, and 53!
43 + 47 + 53 = 143 !
Therefore N = 143. It's the sum of 43, 47, and 53 as well as the product of 11 and 13.
Thank you,
MrB
D
-2(-4+c)
-2 x -4= 8
-2 x c= -2c
8-2c
Answer:
k=-2x+9
Step-by-step explanation:
-4x+6=k*2x-3
+3 +3
-4x+9=k*2x
/2x /2x
-2x+9=k
