Acquisition of Language The percentage
a. Give a technology formula for p.
b. Graph p for
c. Create a table of values of p for
(rounding answers to one decimal place).
d. What percentage of children can speak in sentences of five or more words by the age of 36 months?
e. By what age are 75% or more children speaking in sentences of five or more words?
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Applied Calculus
- Water Jug If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula D=0.265t24.055t+15.5, Where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. a. Make a graph of D versus t. Include values of t up to 7.5 minutes. b. Calculate D(3) and explain the practical terms what your answer means. c. When will the water jug be completely drained? d. Does the water drain faster near the beginning or when the water is mostly drained?arrow_forwardFencing a Garden A determined gardener has 120 ft of deer resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area that is enclosed to be at least 800 ft2 . What range of values is possible for the length of her garden?arrow_forwardAthletics An athlete has set up a course in which she is dropped off by a boat 2 miles from the nearest point on shore. Once she reaches the shore, she must run to a point 4 miles down the coast and 2 miles inland (see figure). She can swim 2 miles per hour and run 6 miles per hour. The time t (in hours) required for her to complete the course can be approximated by the model t=x2+42+4x2+46 where x is the distance (in miles) down the coast from her starting point to the point at which she leaves the water to start her run. (a) Use a table to approximate the distance down the coast that will yield the minimum amount of time required for the athlete to complete the course. (b) The expression below was obtained using calculus. It can be used to find the minimum amount of time required for the triathlete to reach the finish line. Simplify the expression. 12xx2+41/2+16x4x28x+201/2arrow_forward
- Electronics The resistance y (in ohms) of 1000 feet of solid copper wire at 68 degrees Fahrenheit is y=10,370x2 Where x is the diameter of the wire in mils (0.001 inch). (a) Complete the table. (b) Use the table of values in part (a) to sketch a graph of the model. Then use your graph to estimate the resistance when x=85.5. (c) Use the model to confirm algebraically the estimate you found in part (b). (d) What can you conclude about the relationship between the diameter of the copper wire and the resistance?arrow_forwardThe Skydiver Again When a skydiver jumps from an airplane, her downward velocity, n feet per second, before she opens her parachute is given by = 176 1 0.834t, where t is the number of seconds that have elapsed since she jumped from the airplane. We found earlier that the terminal velocity for the skydiver is 176 feet per second. How long does it take for her to reach 90 of terminal velocity?arrow_forwardDrug Concentration When a drug is administered orally, it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as C=2.65(e0.2te2t) What is the maximum blood-level concentration, and when does that level occur?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning