3^(4x) = 3^(5 - x)
4x = 5 - x
4x + x = 5
5x = 5
x = 5/5 = 1
x = 1
Answer:
Player II should remove 14 coins from the heap of size 22.
Step-by-step explanation:
To properly answer this this question, we need to understand the principle and what it is exactly is being asked.
This question revolves round a game of Nim
What is a game of Nim: This is a strategic mathematical game whereby, two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.
Now, referring back to the question, we should first understand that:
22₂ = 1 0 1 1 0
19₂= 1 0 0 1 1
14₂= 0 1 1 1 0
11₂= 0 1 0 1 1
and also that the “bit sums” are all even, so this is a balanced game.
However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.
Answer:
x = 1
Step-by-step explanation:
its a special right trianlge. So both sides are the same.
Dhhdhfuf a fbxxfgdt in srj c a flat tents
Answer:
Option B is correct.
represents the population of the pack of wolves after t years
Step-by-step explanation:
The exponential growth function is given by;
......[1]
where
a represented the initial value
r represents the rate(in decimal)
t represents the time in years
As per the given statement: The population of a pack of wolves is 88. Also, the population is expected to grow at a rate of 2.5% each year.
⇒ a = 88 and r =2.5% = 0.025.
Substituting these values in equation [1], we have;
or
Therefore, the population model of the pack of wolves after t years is given by:
