1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zinaida [17]
3 years ago
11

Jill has been watching the squirrels that live in her neighborhood. The number of squirrels changes each week. n f(n). 1 8. 2 12

. 3 18. 4 27. Which function best shows the relationship between n and f(n)?.A) f(n) = 12(1.5)n. B) f(n) = 12(1.5)n-1. C) f(n) = 8(1.5)n. D) f(n) = 8(1.5)n-1
Mathematics
2 answers:
qaws [65]3 years ago
7 0

Answer: D) f(n)=8(1.5)^{n-1}


Step-by-step explanation:

From the given table we can see that this is not representing a linear function as the rate of change is not constant.

So it can be exponential growth function A(b)^{n-1},  where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.

Now here at n=1 , f(n)=8

Therefore, A=8

Now, for n=2

f(2)=8(b)^{2-1}\\\Rightarrow12=8b\\\Rightarrow\ b=\frac{12}{8}\\\Rightarrow\ b=1.5

By substitute the values of A and b in the above equation, we get the equation f(n)=8(1.5)^{n-1}

Therefore, the function best shows the relationship between n and f(n) is

f(n)=8(1.5)^{n-1}, where n is the number of weeks.

Brums [2.3K]3 years ago
7 0
We are given with the data on teh number of squirrels seen in each week. In this case, the number of squirrels seen increases as week goes. This is a geometric series with a ratio of 1.5 and a1 equal to 8. The equation should be 8 (1.5)^(n-1) where n is the number of weeks. The answer is option D. 
You might be interested in
If I have a mass of 40g and a volume of 20ml, then what is the density?
nydimaria [60]

Answer:

2g/mL^3

Step-by-step explanation:

To find density, we use mass/volume. 40g is the mass and 20mL is the volume. 40/20 is 2, therefore, 2g/mL^3

6 0
3 years ago
Read 2 more answers
3x + 2y = 14. X + y = 5. Work put the values of x and y
andrey2020 [161]

Answer:

x = 4 , y = 1

Step-by-step explanation:

3x + 2y = 14 → (1)

x + y = 5 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 2x - 2y = - 10 → (3)

Add (1) and (3) term by term to eliminate y

x = 4

Substitute x = 4 into (2) and evaluate for y

4 + y = 5 ( subtract 4 from both sides )

y = 1

7 0
3 years ago
A store sells 3 cans of Pringle’s for $5. How much would it cost you to buy 12 cans of pringles
LekaFEV [45]

Answer:

20 because of math

8 0
3 years ago
A solid lies between planes perpendicular to the​ x-axis at x = -2 and x = 2. The​ cross-sections perpendicular to the​ x-axis b
icang [17]

Answer:

V = 128π/3 vu

Step-by-step explanation:

we have that: f(x)₁ = √(4 - x²);  f(x)₂ = -√(4 - x²)

knowing that the volume of a solid is  V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then

dV=π(√(4 - x²)+√(4 - x²))²dx;  =π(2√(4 - x²))²dx ⇒

dV= 4π(4-x²)dx , Integrating in both sides

∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve

4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also

∫dv=8π∫(4-x²)dx evaluated 0≤x≤2

V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒

V = 128π/3 vu

8 0
3 years ago
What's 1/2 divided by 3? Your answer should be written as a fraction.
Agata [3.3K]
Your answer should be 1/6 because you are dividing thing by the number.
8 0
2 years ago
Other questions:
  • Find the inverse of the function f(x) = 2x – 4.
    11·2 answers
  • Which of the following expressions is equal to -x2 - 36?
    7·1 answer
  • Solve for x: -x^2+5x+6=0
    13·1 answer
  • Fracions closer to 1 than 0
    7·2 answers
  • -17x-8+x=24 please help me.
    15·1 answer
  • A pet store has 11 puppies, including 3 poodles, 5 terriers, and 3 retrievers. If Rebecca and Aaron, in that order, each select
    6·2 answers
  • In an election of housing society,there are 30 voters.Each of them gives the vote.Three persons X,Y and Z are standing for post
    12·1 answer
  • 4X + 3x + 2(3 + 6). Simplify *<br>which one is the answer<br> 7 + 18 <br> 7X + 18 <br> 7X + 12​
    15·2 answers
  • Find the perimeter of the irregular hexagon with side lengths y, 2y + 11, -3y - 9, y^2, 5y - 1, and бу^2.​
    9·2 answers
  • Which expression has a value of 20? O (16 – 8) x 2 +4 (16 – 8) x (2+4) 16 - 8 X (2+4) O 16 — (8 x 2 + 4)​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!