Concept explainers
For the following exercises, determine the
63. The surface area, A, of a cylinder in terms of itsradius, r, and height, h, is given by
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
College Algebra By Openstax
Additional Math Textbook Solutions
Introductory and Intermediate Algebra for College Students (5th Edition)
Intermediate Algebra for College Students (7th Edition)
College Algebra (6th Edition)
Linear Algebra with Applications (2-Download)
Algebra and Trigonometry
A Graphical Approach to College Algebra (6th Edition)
- The function Fy=149.7610y5/2 estimates the force F (in tons) of water against the face of a dam, where y is the depth of the water (in feet). (a) Complete the table. What can you conclude from the table? (b) Use the table to approximate the depth at which the force against the dam is 1,000,000 tons. (c) Find the depth at which the force against the dam is 1,000,000 tons algebraically.arrow_forwardA rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of time in minutes according to r(t)=25t+2 , find the area of the ripple as a function of time. Find the area of the ripple at t=2 .arrow_forwardThe radius r, in inches, of a spherical balloon isrelated to the volume, V, by r(V)=3V43 . Air is pumped into the balloon, so the volume after t seconds is given by V(t)=10+20t . a. Find the composite function r(V(t)) . b.Find the exact time when the radius reaches 10 inches.arrow_forward
- The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of a circle as a function of its circumference. Call this function r(C) , Find r(36) and interpret its meaning,arrow_forwardFind the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.arrow_forwardChange the function y=3(0.5)x to one having e as the base.arrow_forward
- What is true of the appearance of graphs thatre?ect a direct variation between two variables?arrow_forwardThe figure shows a Norman window that has the shape of a rectangle with a semicircle attached at the top. The diameter of the semicircle is equal to the width of the rectangle. The window has a perimeter of 12 feet. Express the area of the window, A, as a function of its radius, r.arrow_forwardPolice investigating traffic accidents use the fact that the speed, in miles per hour, of a car traveling on an asphalt road can be determined by the length of the skid marks left by the car after sudden braking. The speed can be modeled by s = V 30fd, where s is the speed of the car in miles per hour, fis the coefficient of friction for the road, and d is the length in feet of the skid marks. Find the speed of a car if it leaves skid marks 130 feet long on an asphalt road with a coefficient of friction equal to 0.456. (Include units in your answer. More information. Round your answer to the nearest whole number.) The speed of the car is approximatelyarrow_forward
- Please help me .. Note : m=0arrow_forwardA carton of milk has spilled on a tile floor. The milk flow can be expressed with the function m(t) = 9t, where t represents time in minutes and m represents how far the milk is spreading. The flowing milk is creating a circular pattern on the tile. The area of the pattern can be expressed as A(m) = πm2. Part A: Find the area of the circle of spilled milk as a function of time, or A[m(t)]. Show your work. Part B: How large is the area of spilled milk after 2 minutes? You may use 3.14 to approximate π in this problem.arrow_forwardA tsunami is a fast-moving sea wave typically caused by an underwater earthquake. The speed of a tsunami depends on the depth of the water. This relation can be expressed by the equation, S = V9.81d, where S, is the speed (in meters per second) of a tsunami in which the average depth of the water is d meters. Use this function to answer each question below. a) The Indian Ocean has an average depth of 3,960 meters. Estimate the speed of a tsunami in the Indian Ocean. Round to one decimal place. meters per second b) Scientist estimated that the average speed of a tsunami somewhere in the Pacific Ocean was 402.8 meters per second. What is the average depth of that location in the Pacific Ocean? Round the nearest whole number. Be sure to write the correct units with your answer.arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning