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
Harman [31]
3 years ago
12

A population of flies grows according to the function p(x) = 2(4)x, where x is measured in weeks. A local spider has set up shop

and consumes flies according to the function s(x) = 2x + 5. What is the population of flies after two weeks with the introduced spider?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0
The functions are:

p(x)=2\cdot4^x and s(x)=2x+5.

After 2 weeks, under no risk of spiders, the population of the flies is calculated by the function as p(2)=2\cdot4^2=2\cdot16=32.

 
Similarly, we calculate s(2)=2(2)+5=4+5=9, which means that the spider consumes 9 flies in 2 weeks.

 
Thus, out of 32 flies, 9 are eaten by the spider, so there are 32-9=23 flies left. 


Answer: 23
You might be interested in
Topsoil A 40-pound bag of topsoil will cover a surface area of 12 ft2.
babymother [125]
Its easy just subtract so example subtract 480 - ____  just keep adding a number until it tells you the awnser
7 0
3 years ago
The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf f(x) 5 5 3 2 ? 1 x2 1
muminat

The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.

<h3>What is a density function?</h3>

A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.

<h3>How to calculate the probability that reaction time is at most 2.5 seconds?</h3>

P(X ≤ 2.5) = Fx(2.5)

Fx(2.5) = 3/2 - 3/2(2.5)

Fx(2.5) = 3/2 - 3/5

Fx(2.5) = 0.9.

Read more on density function here: brainly.com/question/14448717

#SPJ4

Complete Question:

The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf:

f(x) = \left \{ {{\frac{3}{2x^2} \;1 \leq x\leq 3} \atop {0}\;otherwise} \right

What is the probability that reaction time is at most 2.5 seconds?

7 0
2 years ago
D2 =81-1 find the positive value of d that makes the equation true
Lubov Fominskaja [6]
81-1= 80
80 / 2 = 40
D = 40
So:
40(2) = 81 - 1
4 0
3 years ago
When your high school math teacher says “math” what’s first reaction ?
ad-work [718]
I actually like math so I have no problem with it
3 0
3 years ago
Read 2 more answers
a mathematician states that her children's ages are all prime numbers that multiply together to give 7,429. she also says that t
goldfiish [28.3K]
She has 3 children. One children is 17, the other is 19 and the other one is 23
6 0
3 years ago
Other questions:
  • Jon has to pay $7.00 admission for the skating rink and $1.50 per hour to rent rollerblades. How many hours can he skate for $19
    10·1 answer
  • What is the root of the polynomial equation x(x-2)(x+3)=18 ? Use a graphing calculator and a system of equations.
    9·2 answers
  • What fraction is 1 degree?
    11·1 answer
  • Solve the system of equations by graphing <br> Y=2<br> Y= 1/2x + 1
    8·2 answers
  • The table shows five transactions and the resulting account balance in a bank account, except some numbers are missing. Fill the
    11·2 answers
  • What is Center of circle of A? Circle B
    13·1 answer
  • Taxi Fares are normally distributed with a mean fare of $22.27 and a standard deviation of $2.20.
    8·1 answer
  • you worked 6 and three fourths hours on Monday Seven and one fourth on Tuesday eight and one fourth on wendsey seven and one fou
    5·1 answer
  • Combine like terms for <br> (3x²+2x²-5x+7)+(4x²+2x-3)
    9·2 answers
  • If a whale is at sea level and goes down 300 feet what is it at
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!