10. When an apple is dropped from a tower 256 feet high, the function models the height of the apple, in feet, after t seconds. Determine, algebraically, the number of seconds it takes to reach max height and determine the max height. h (t)=-16r^2+256

10. When an apple is dropped from a tower 256 feet high, the function models the height of the apple, in feet, after t seconds. Determine, algebraically, the number of seconds it takes to reach max height and determine the max height. h (t)=-16r^2+256

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CT: Chapter Test

Problem 4CT

See similar textbooks

Related questions

Q: Please can you explain if y = 1/4x 0 5 is a power function?

Q: 7). Write a square root function with a horizontal shift of 4 and is reflected across the x-axis

A: square root function with horizontal shift of 4 and reflected over x-axis

Q: Suppose the annual profit for a store was modeled by the function : P(x) = - 0.2x3…

A: Given: The annual profit for a store was modeled by the function :…

Q: 3 situations that could represent functions

Q: The number of public elementary and secondary school teachers (in millions) in a particular year…

A: Given query is to find that after how much time there will be 3.5 million teachers.

Q: A water ride with heights above and below the starting point can be modeled by the function y =…

Q: It is a fact that y(x) = 3x² – x + 1 is a function. Which y-value (output) does this function assign…

Q: What is the horizontal asymptote of the function y = 5 (2)-7) +3

A: Consider the given function y=52x-7+3 Since a line y=a is a horizontal asymptote of the function…

Q: 3. Suppose the current US population of approximately 350 million people increases by 1.8% every 2…

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=25000+5000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: The number of citizens (N) of barangay Alapan, Imus Cavite in t years is predicted to increase and…

A: N(3)=7 (3)^4-4(3)^3+150(3)+17500

Q: he life expectancy at birth of both sexes in a particular year can be described by the function…

Q: What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at…

A: To find the area of the largest rectangle with given corner points.

Q: 9. Create the equation of a polynomial function where the instantaneous rate of change is equal to 0…

A: A polynomial is one of three basic mathematical functions. This function is widely used in different…

Q: An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows…

A: Since you have posted multiple subparts we solved the first three subparts for you To get the…

Q: 1- Study the measurability of the functions:

A: Given Two functions....we must study the measurability of the functions....where p is not…

Q: 29.Differentiate the function. y=√4x-5-√x /9 y' =

A: Using chain rule of derivative,

Q: 1. Hazim has signed up a postpaid mobile plan with Nexus Telco Sdn. Bhd. The monthly cost, C of the…

A: Hazim has signed up a post paid mobile plan with Nexus Telco Sdn. Bhd. The monthly cost, C of the…

Q: Suppose that Px represents the percentage of income spent on health care in year xand represents…

A: Given, P(x) represents the percentage of income spent on health in year x. I(x) represents income in…

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

A: Explanation of the answer is as follows

Q: 18. Suppose that a company produces and sells bicycles and that the start-up cost is $3000 and $75…

Q: The price per barrel (in dollars) for NYMEX-traded crude oil futures can be approximated by the…

A: We have to find the future prices of crude oil for the third quarter of 2017.

Q: As a result of increasing energy cost, the growth rate of the profit of the 4-year- old Glassblowing…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Our objective is to find the rate of change of the profit.

Q: The total number of fans who went to watch professional football games from 2005 to 2011 can be…

A: Given that, The total number of fans who went to watch professional football games can be modeled by…

Q: The number of ATV-related deaths for people of all ages from 1999 to 2009 can be modeled by the…

A: Given the number of ATV-related deaths for people of all ages from 19999 to 2009 can be modeled by…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: Suppose that a company’s weekly profit is given by the function P= -0.2x^2 +100x-2000 where x is the…

A: the given profit function is P=-0.2x2+100x-2000 the average profit function is given by P¯=Px…

Q: 9. If the cube root parent function is horizontally stretched by a factor of 4, then translated 5…

A: Question 9 is solved in detail below.

Q: Based on past experiences, a homeowner estimates that appliances lose 35% of their resale value each…

Q: Suppose an investment of $3,800 doubles in value every decade. The function (x) = 3,800 - 2"…

A: Given, after x decades the value of the investment is f(x) = 3800·2x We have to find the investment…

Q: After declining between 1940 and 1980, the number of multigenerational American households has been…

A: Given, Function,h(x)=0.012 x2-0.583 x+35.727 To find: Year in which there were 40 million…

Q: Suppose the function below describes a physical situation that makes sense only for numbers between…

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

Q: Find the equation for the horizontal asymptote of the graph of the function. f(x) = (4x2 divided…

A: Given: The function fx=4x2x3-9-9x8x+5 To find: The equation of horizontal asymptote of the graph of…

Q: Suppose the function f(x) = x2 − 8x + 43 describes a physical situation that makes sense only for…

Q: A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of…

A: The farmer has total of 2000ft. fencing. 1.5 sides of the plot of land border a river. w is the side…

Q: Suppose the weekly cost for the production and sale of bicycles is C(x) = 16x +4149 dollars and that…

A: Use formula

Q: The total yield of corn on Mr. Geller's farm from 1991 to 2010 can be modeled by the function f(x)…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

Q: 3. Determine the points in which the function shifts from increasing to decreasing and vice- versa.…

A: Let's find.

Q: The total expenditures on benefits for U.S. veterans (in billions of dollars) can be approximated by…

Q: After declining between 1940 and 1980, the number of multigenerational households has been…

Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x)…

A: Here, the given revenue function is: Rx=75x-x210

Q: In the year 2016, the total number of metric tons of copper produced in the world was 495,000. Each…

A: Solution

Q: Suppose a gift basket maker incurs costs for a basket according to C(x)=18x+220. If the baskets are…

A: Given C(x)=18x+220 The baskets are sold for $43 per basket.

Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A: Ball reach its maximum height at t = 4 minutes

Question

Whats the number of seconds it takes to reach max height

10. When an apple is dropped from a tower 256 feet high, the function models
the height of the apple, in feet, after t seconds. Determine, algebraically, the
number of seconds it takes to reach max height and determine the max height.
h (t)=-16r^2+256

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Similar questions

A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.
If xis large, which function grows faster, f(x)=2x or g(x)=x2?
A company determines that its weekly profit from manufacturing and selling x units of a certain item is given by Px=-x3+3x2+2880x-500. Use a graphing utility to find the weekly production rate that will maximize the profit.
A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?
Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.