Answer:
There are 70 sheep in the farm.
Step-by-step explanation:
Consider the provided information.
Let c represents the cows, s represents the sheep and p represents the pigs.
The number of cows and the number of sheep are in the ratio 6:5.


The number of sheep and the number of pigs are in the ratio 2:1.


The total number is 189.

Substitute the value of c and p in above.




Hence, there are 70 sheep in the farm.
Answer:
Step-by-step explanation:
Answer:
72¹⁶ possible passwords
10¹⁰ years
Step-by-step explanation:
For each of the 16 characters, the number of possible outcomes is 10 numbers, 52 letters, or 10 special characters, totaling 72 possible values. The number of total different 16 characters passwords is:

If you can test 1 trillion passwords per second, the number of passwords per year is:

The time in years that would take to test all passwords is:

Rounding to the nearest power of 10, it would take 10¹⁰ years
Answer:
3/2 or 150%
Step-by-step explanation:
150:100 = 150/100 = 15/10 = 3/2
In other words, 150%
We write the generic exponential equation:
y = A (b) ^ t
Where,
A: initial population
B: growth rate
t: time in hours.
Substituting values we have:
y = 5 (2) ^ ((1 / 1.5) * t)
For t = 9 hours we have:
y = 5 (2) ^ ((1 / 1.5) * 9)
y = 320 million
For t = 24 hours (one day) we have:
y = 5 (2) ^ ((1 / 1.5) * 24)
y = 327680 million
For t = 2 hours we have:
y = 5 (2) ^ ((1 / 1.5) * 2)
y = 12.5992105 million
Answer:
a) t hours?
y = 5 (2) ^ ((1 / 1.5) * t)
b) 9 hours?
y = 320 million
c) 1 day?
y = 327680 million
d) 2 hours?
y = 12.5992105 million