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Mila [183]
3 years ago
15

Scientists released 5 foxes into a new habitat in year 0. Each year, there were

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer:

f(x)= 5*4^x

Step-by-step explanation:

Since every year there are four times as many foxes as the year before, every year we need to multiply the previous population by 4. This leads to having to multiply by 4^{n}after n years have gone by. So we are in the presence of a population growth that goes as an exponential function of base "4".

A function f(x) that represents an exponential growth of such type can be written as:

f(x)= N_0 * 4^x

where x represents the variable time in years, 4 is the multiplicative base, and N_0 is what is defined as the "initial value" of the population (in our case 5 - for the 5 foxes initially released).

Notice also that when we start counting - time zero (x=0) the exponential form 4^0 = 1 becomes a one (1) and the expression reduces to this initial value  N_0 (5 in our case).

Therefore, the function representing this population growth is: f(x)= 5*4^x

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Here’s my dilemma, I can accept a $1000 bill or play a game ten times. For each roll of the single die, I win $500 for rolling 1
Aloiza [94]

Answer:

you should accept the $1,000 bill

Step-by-step explanation:

Given the information:

  • $500 for rolling 1 or 2
  • $400 for rolling 3
  • lose $300 for rolling 4,5,6

P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3

P (rolling a 3) = 1/6

P (rolling 4 or 5 or 6) = 3/6 = 1/2

Hence, the expected value for 1 time is:

E = (1/3)*500 + (1/6)*400 - (1/2)*300

E = $166 + $66 - $150

E = $82

Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820

The expected value is $82, meaning you should accept the $1,000 bill

5 0
2 years ago
Please help me :)), do not 'troll' with answers, it's graded...
wolverine [178]

The first one, decreasing then increasing

4 0
3 years ago
Three brothers have ages that are consecutive odd integers. The difference between the age of the oldest and twice the age of th
Genrish500 [490]

N, N+2, and N + 4 are the ages


(N + 4) - (2N) = (N + 2) -24


4 - N = N - 22


2N = 26

N = 13

The brothers are 13, 15, and 17 years old.

HOPE THIS HELPS!!

PLEASE GIVE ME BRAINLIEST!!

6 0
3 years ago
Goodmorning , please help!
Sav [38]

Answer:

7/2

Step-by-step explanation:

17=x+x+10

17-10=2x

7=2x

x=7/2

4 0
3 years ago
Read 2 more answers
A military cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path
katrin [286]

Answer:

Algebracicaly speaking the answer would be either -13.3876 or - 158.612 through the quadratic equation, but these answers don’t make sense in this real world scenario.

Step-by-step explanation:

7 0
2 years ago
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