Concept explainers
(a)
Write the first five terms of a sequence describing his training schedule.
(a)
Answer to Problem 61SR
Explanation of Solution
Given:
Adrahan is training for a marathon, about 26 miles. He begins by running 2 miles. Then, when he runs every other day, he runs one and a half times the distance he ran the time before.
Write the first five terms of a sequence describing his training schedule.
Concept Used:
This forms a geometric sequence. Given:
Calculation:
Given:
Thus, the five terms are
(b)
Find the time when he will exceed 26 miles in one run?
(b)
Answer to Problem 61SR
He will exceed 26 miles in one run on the eighth session.
Explanation of Solution
Given:
Adrahan is training for a marathon, about 26 miles. He begins by running 2 miles. Then, when he runs every other day, he runs one and a half times the distance he ran the time before.
When will he exceed 26 miles in one run?
Concept Used:
Given:
Calculation:
Given:
He will exceed 26 miles in one run on the eighth session.
Thus, he will exceed 26 miles in one run on the eighth session.
(c)
Find the time when he will have run 100 total miles.
(c)
Answer to Problem 61SR
He will have run 100 total miles during the ninth session.
Explanation of Solution
Given:
Adrahan is training for a marathon, about 26 miles. He begins by running 2 miles. Then, when he runs every other day, he runs one and a half times the distance he ran the time before.
When will he have run 100 total miles?
Concept Used:
Given:
Calculation:
Given:
He will have run 100 total miles during the ninth session.
Thus, He will have run 100 total miles during the ninth session.
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Calculus: Early Transcendentals (2nd Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Introductory Statistics
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics (13th 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