Concept explainers
FindingpH hydrogen ion concentration of a sample of each substance is given. Calculate the pH Of the substance.
(a) Lemon juice:
(b) Tomatojuice:
(c) seawater:
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
College Algebra
- The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.arrow_forwardThe resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?arrow_forwardIn 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2014, Los Angeles also experienced an earthquake which measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes.arrow_forward
- Solve for x. (Enter your answers as a comma-separated list.) (1/4)x=16 x=arrow_forwardA ball is dropped from a height of 20 feet and bounces. Suppose that each bounce is 7/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of 20(78)=17.520(78)=17.5 feet, etc. (Assume g=32ft/s2g=32ft/s2 and no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nnth time: hn=hn= B. Find an expression for the total vertical distance the ball has traveled, in feet, when it hits the floor for the first, second, third and fourth times: first time: D = second time: D = third time: D = fourth time: D = C. Find an expression, in closed form, for the total vertical distance the ball has traveled when it hits the floor for the nnth time. Dn=arrow_forwardThe amount of money in an account is given by A = P(1+r)*, where Pis the principal invested, r is the interest rate (as a decimal), and t is the time of the investment. Find the amount at the end of (t=) 2 years if (P=) $600 is invested at 5% (r=0.05). Use appropriate units and round to the nearest cent. hp fg f10 f11 f12 AA 8 60arrow_forward
- The value of a wheelchair conversion van that originally cost $49,810 depreciates so that each year it is worth ⅞ of its value for the previous year. Find a model for V(t), the value of the van after t years. Determine the value of the van 4 years after it was purchased.arrow_forwardThe number N of deer in a certain population t years after observation began is given by N = 12.36 0.03 + 0.55t . What is the deer population after 18 years?arrow_forwardCity water, which is slightly chlorinated, is being used to flush a tank of heavily chlorinated water. The concentration C = C(t) of the chlorine in the tank t hours after flushing begins is given by the following formula. C = 0.3 + 2.77e-0.39t milligrams per gallon(a) What is the initial concentration of chlorine in the tank?(No Response) mg/gal (b) Express the concentration of chlorine in the tank after 4 hours using functional notation.C((No Response) )Calculate the concentration of chlorine in the tank after 4 hours. (Round your answer to two decimal places.)(No Response) mg/galarrow_forward
- Find the exact value of csc 6. TC CSC 6. 21 %3D (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (0) Me Enter your answer in the answer box.arrow_forwardCity water, which is slightly chlorinated, is being used to flush a tank of heavily chlorinated water. The concentration C = C(t) of the chlorine in the tank t hours after flushing begins is given by the following formula. C = 0.2 + 2.79e 0.31t milligrams per gallon (a) What is the initial concentration of chlorine in the tank? mg/gal (b) Express the concentration of chlorine in the tank after 6 hours using functional notation. Calculate the concentration of chlorine in the tank after 6 hours. (Round your answer to two decimal places.) mg/galarrow_forwardA tank holds a 90 gallon solution of water and salt initially the solution contains 21 lb of salt. A salt solution with a concentration of 2 lb per gal begins flowing into the tank at a rate of 2 gal per minute. The solution in the tank also begins flowing out at a rate of 2 gal per minute Let y be the amount of salt present in the tank at time t a. Find an expression for the amount of salt in the tank at any time b. How much salt is present after 49 minutes c. As time increases what happenes to the salt concentration?arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning