Answered: The park's wolf population in year t is…

The park's wolf population in year t is given by the expression W(t)=-4(t-4.5)^2+400. Determine the time interval between the years [0,10] when the wolf popluation is over 375.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.4: Exponential And Logarithmic Equations

Problem 83E: The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use...

See similar textbooks

Related questions

Q: The combined yearly interest for x dollars invested at 12% and y dollars invested at 9% is…

A: Combined interest is, 12100x+9100y=0.12x+0.09y

Q: A projectile is thrown upward so that it’s distance above the ground after t seconds is h=…

Q: Evaluate L-1{ -(-e¯™s+4T8+ 2+1

Q: Find three positive numbers whose sum is 300 and whose product is a maximum.

A: Let x ,y,z are 3 positive numbers such that x+y+z = 300 and xyz is maximumThe problem formed…

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the june rainfall x, in…

Q: 3. Suppose the current US population of approximately 350 million people increases by 1.8% every 2…

Q: For a hot air balloon to take off, the temperature of the air outside the balloon must be at least…

Q: Suppose the price P, in peso, of a Honda Civic EX-L sedan that is x years old co by P(x) = 1,113,250…

A: Given that:Price of car is modeled as well P(x) =1113250(0.90) x

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A: Given f(x)=1.8208e0.3387xGiven f(x)=$6 billion

Q: Find three positive numbers whose sum is 310 and whose product is a maximum.

Q: An investment of 10,000,000 php has a revenue of x php that will increase of 10% every 2 years. With…

A: answer is in next step

Q: The number of a particular fish in thousands x years after 1978 can be modeled by f(x) = 229(.887)*.…

Q: S is 4 years older than J. 8 years ago, s was twice as old than J. What are the ages of S & J?

A: Let the age of S be x years, then the age of J is (x - 4) years, because S is 4 years older than J.

Q: 5. Find two positive numbers whose sum is 110 and whose product is a maximum.

A: Let two positive numbers be x and y x+y=110

Q: Differentiate the function. 3 + 4x y = In 3 - 4x

A: Topic:- derivatives of function

Q: Use end behavior to explain why f(x) = -49x3 + 806x2 + 3776x + 2503 is only an appropriate model for…

A: Consider the polynomial: fx=-49x3+806x2+3776x+2503Leading Coefficient=-49NegativeDegree=3Odd If the…

Q: At 12:00 noon, there were 250 bacteria present. By 4:00 pm, there were 474 bacteria. If the bacteria…

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is in the form of…

Q: Solve f(-4) for f(x) = -4x+ 9 %3D f(-4) = [ ? ] Enter

Q: Please use the theorem in the picture to solve for the 5th term of (x+y)^9.

Q: 57. f(x) = 5x² at x = 10

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Suppose that "x" years after its founding in 1974, a certain national consumers association had a…

A: Given equation is f(x) = 100 (2x^3 - 45x^2 + 264x) If f'(x) =0 then 100 (2x^3 - 45x^2 + 264x) =0…

Q: Find the positive value of X that satifies x=4.800SinX

Q: At 12:00 noon, there were 225 bacteria present. By 4 pm, there were 427 bacteria. If the bacteria…

A: Let y=cax where y= amount of bacteria c=225 , a= growth factor Now, At4pm,t=4,y=427 so,…

Q: The average amount A (in pounds per person) of fish and shellfish consumed in the United States…

A: We have to rewrite the model by using whole number only.

Q: The total number of fans who went to watch professional football games from 2005 to 2011 can be…

A: Given that, The total number of fans who went to watch professional football games can be modeled by…

Q: Find a root of an equation f(x) = 0.582x³ - 0.437x + 2 using

Q: The life expectancy at birth of both sexes in a particular year can be described by the function…

A: Life expectancy in a perticular year can be described as, f(x) = 11.67 + 14.73…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: At 12:00 noon, there were 225 bacteria present. By 4:00 pm, there were 427 bacteria. If the bacteria…

Q: 5- -10 --5 -5-

A: According to given graph of function parent function isy=-xgraph shift left 2 units y=-x+2graph…

Q: Find f5(x) if f(x)= 3√3x+2

Q: The combined yearly interest for x dollars invested at 12% and 30,000 - x dollars invested at 9%…

A: Given Data The interest rate for x dollars invested is n1=12%. The interest rate for 30000-x dollars…

Q: Find the domain of f(x)=2x+10/3x+4 Enter the solution in interval notation.

A: Consider the function f(x)=2x+103x+4

Q: The number of a particular fish in thousands x years after 1971 can be modeled by f(x) =…

Q: Suppose that Colorado population grows consistently at 2.4% per year. If the 2021 colorado…

Q: Use increment method. (Show you x° + 2x

Q: VT-x- 5 | f(x) = 6.

Q: Where is /(x) = 4(x=2)^ + 2(x-2) increasing?

A: We first find f'(x) using the power…

Q: The number of banks in the country for selected years from 1980 to 2009 is given by y = -378.9x +…

A: Given, The number of banks in the country for selected years from 1980 to 2009 is given by…

Q: Express {x | −4 < x ≤ 8} in interval notation.

A: given x | −4 < x ≤ 8

Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

Q: Find the length x. X 2.

Q: The number of Corona virus cases in a specific country is approximated by the function P(t) =…

A: Given that the number of corona virus cases in a specific country is approximately by the function…

Q: Find f(x) = 3x2 + 9x – 13 as x = -6

A: We have to find the value of the function f(-6).

Q: The producers of a new television show expect the number of viewers (in thousands) to increase at a…

Q: Find f(-7) if (x)=2x+8

A: Given f(x)= 2x+8 we use substitution method to find value of f(x) at x= -7

Q: A cultivate of 50 bacteria grows to 75 after 3 hours. how long will it take to triple in size.…

A: Let the number of bacteria at time t is given by: y(t) Therefore: y(0)=50 y(3)=75

Q: d two positive numbers such that the sum of the first number and twice the second is 108 and ir…

A: Given query is to find indicated unknown number.

Q: distance above the ground after t seconds is h=-12t^2+384t after how many sounds does it reach it’s…

Question

The park's wolf population in year t is given by the expression W(t)=-4(t-4.5)^2+400. Determine the time interval between the years [0,10] when the wolf popluation is over 375.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use the model to approximate how many years it will take for the beaver population to reach 78.
On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest, compounded continuously. Determine the balance in the account on the grandchild’s 25th birthday.
Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x
Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?