
(a)
The formula
(a)

Answer to Problem 16PPS
Explanation of Solution
Given information:
The equation:
Concept Used:
- To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
- To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
- To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
- To get rid of a number in division from one side, multiply the same number both sides of equal sign.
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
In order to solve the formula for r, divide both sides by 2p to simplify further as shown below:
Thus, the formula is
(b)
To find the radius of the yo-yo.
(b)

Answer to Problem 16PPS
Explanation of Solution
Given:
CALCULATION:
Thus, the value of radius is
Chapter 2 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
College Algebra with Modeling & Visualization (5th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
University Calculus: Early Transcendentals (4th Edition)
Elementary Statistics (13th Edition)
Basic Business Statistics, Student Value Edition
Pre-Algebra Student Edition
- Solve questionsarrow_forwardPatterns in Floor Tiling A square floor is to be tiled with square tiles as shown. There are blue tiles on the main diagonals and red tiles everywhere else. In all cases, both blue and red tiles must be used. and the two diagonals must have a common blue tile at the center of the floor. If 81 blue tiles will be used, how many red tiles will be needed?arrow_forwardFind the values of n, if the points (n + 1, 2n), (3n, 2n + 3) and (5n + 1,5n) are collinear. Find the value of k that the four points (4,1,2), (5, k, 6), (5,1,-1) and (7,4,0) are coplanar. Find the value of r if the area of the triangle is formed by the points (-3,6),(4,4) and (r,-2) is 12 sq units. Find the volume of tetrahedron whose vertices are A(1,1,0), B(-4,3,6), C(-1,0,3) and D(2,4,-5).arrow_forward
- - Consider the following system of linear equations in the variables a,b,c,d: 5a-3b 7c - 2d = 2 2ab 2c+ 5d = -3 → (*) 4a 3b 5d = 3 6a b+2c+ 7d = −7 (a) Solve the system (*) by using Gauss elimination method. (b) Solve the system (*) by using Cramer's rule method.arrow_forwardSolve for a 25 55 30 a=?arrow_forward9:41 … 93 Applying an Exponential Function to Newton's Law of Cooling 60. Water in a water heater is originally Aa ← 122°F. The water heater is shut off and the water cools to the temperature of the surrounding air, which is 60°F. The water cools slowly because of the insulation inside the heater, and the value of k is measured as 0.00351. a. Write a function that models the temperature T (t) (in °F) of the water t hours after the water heater is shut off. b. What is the temperature of the water 12 hr after the heater is shut off? Round to the nearest degree. c. Dominic does not like to shower with water less than 115°F. If Dominic waits 24 hr. will the water still be warm enough for a shower? Mixed Exercises ger-ui.prod.mheducation.comarrow_forward
- Please use the infinite series formula and specify how you did each step. Thank you.arrow_forward8) Solve the given system using the Gaussian Elimination process. 2x8y = 3 (-6x+24y = −6arrow_forward7) Solve the given system using the Gaussian Elimination process. (5x-4y = 34 (2x - 2y = 14arrow_forward
- 33 (a) (b) Let A(t) = = et 0 0 0 cos(t) sin(t) 0-sin(t) cos(t)) For any fixed tЄR, find det(A(t)). Show that the matrix A(t) is invertible for any tЄ R, and find the inverse (A(t))¹.arrow_forwardUse the infinite geometric sum to convert .258 (the 58 is recurring, so there is a bar over it) to a ratio of two integers. Please go over the full problem, specifying how you found r. Thank you.arrow_forwardH.w: Find the Eigen vectors for the largest Eigen value of the system X1+ +2x3=0 3x1-2x2+x3=0 4x1+ +3x3=0arrow_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





