Concept explainers
(a)
Find the population of the wolves after one year, evaluate
(a)
Answer to Problem 48SR
The population of wolves after 1 year is 0.82125
Explanation of Solution
Given:
In a particular forest, scientists are interested in how the population of wolves will change over the next two years. One model for animal population is the Verhulst population model,
To find the population of the wolves after one year, evaluate
Concept Used:
Evaluate:
Calculation:
Thus, the population of wolves after 1 year is 0.82125
(b)
Explain what each number in the expression in part a represents.
(b)
Answer to Problem 48SR
0.45 represents the maximum sustainable population of 45 % and 1.5 is the growth factor.
Explanation of Solution
Given:
In a particular forest, scientists are interested in how the population of wolves will change over the next two years. One model for animal population is the Verhulst population model,
Explain what each number in the expression in part a represents.
Concept Used:
0.45 represents the maximum sustainable population of 45 % and 1.5 is the growth factor.
Thus, 0.45 represents the maximum sustainable population of 45 % and 1.5 is the growth factor.
(c)
Find the new population by multiplying 165 by the value in part a.
(c)
Answer to Problem 48SR
The new population of wolves is about 136.
Explanation of Solution
Given:
In a particular forest, scientists are interested in how the population of wolves will change over the next two years. One model for animal population is the Verhulst population model,
The current population of wolves is 165. Find the new population by multiplying 165 by the value in part a.
Concept Used:
New population =
Thus, the new population of wolves is about 136.
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Pre-Algebra Student Edition
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
Elementary Statistics: Picturing the World (7th Edition)
- Solve the system of equation for y using Cramer's rule. Hint: The determinant of the coefficient matrix is -23. - 5x + y − z = −7 2x-y-2z = 6 3x+2z-7arrow_forwarderic pez Xte in z= Therefore, we have (x, y, z)=(3.0000, 83.6.1 Exercise Gauss-Seidel iteration with Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i Tol=10 to solve the following systems: 1. 5x-y+z = 10 2x-8y-z=11 -x+y+4z=3 iteration (x Assi 2 Assi 3. 4. x-5y-z=-8 4x-y- z=13 2x - y-6z=-2 4x y + z = 7 4x-8y + z = -21 -2x+ y +5z = 15 4x + y - z=13 2x - y-6z=-2 x-5y- z=-8 realme Shot on realme C30 2025.01.31 22:35 farrow_forwardUse Pascal's triangle to expand the binomial (6m+2)^2arrow_forward
- Listen A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet and t is the time in seconds. How many seconds will it take for the object to travel 112 feet? Round answer to 2 decimal places. (Write the number, not the units). Your Answer:arrow_forwardSolve by the quadratic formula or completing the square to obtain exact solutions. 2 e 104 OA) -16±3√6 B) 8±√10 O c) -8±√10 OD) 8±3√√6 Uarrow_forwardQuestion 14 (1 point) Listen The frame on a picture is 18 in by 22 in outside and is of uniform width. Using algebraic methods, what is the width of the frame if the inner area of the picture shown is 250 in²2? Write answer to 2 decimal places. (Write the number with no units). 18 in Your Answer: 22 inarrow_forward
- ◄ Listen A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 560 square feet. Find the width of the walkway (x) if the garden measures 15 feet wide by 19 feet long. Write answer to 2 decimal places. (Write the number without units). X 15 feet Your Answer: 19 feet Xarrow_forwardListen A stuntman jumps from a roof 440 feet from the ground. How long will it take him to reach the ground? Use the formula, distance, d = 16t2, (where t is in seconds). Write answer to 1 decimal place. (Write the number, not the units). Your Answer:arrow_forwardSolve x² - 10x + 24 = 0 ○ A) 4,6 B) -12, -2 C) 12,2 D) -4, -6arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education