A girl is throwing a ball off the cliff into the ocean. The polynomial h(t)= −16t2 +400 gives the height of a ball t seconds after it is dropped from a 400-foot tall cliff. Find the height after t = 1 seconds. The height is feet._____________

A girl is throwing a ball off the cliff into the ocean. The polynomial h(t)= −16t2 +400 gives the height of a ball t seconds after it is dropped from a 400-foot tall cliff. Find the height after t = 1 seconds. The height is feet._____________

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter6: Polynomials

Section6.1: Add And Subtract Polynomials

Problem 6.27TI: The polynomial 16t2+250 gives the height of a ball t seconds after it is dropped from a 250-foot...

See similar textbooks

Related questions

Q: b) use the quadratic polynomial to estimate the outdoor temperature at 9:30 am, to the nearest tenth…

A: (b) Finding the quadratic polynomial Let's assume the quadratic polynomial ; y = at2 +bt +c Finding…

Q: Find the t-intercepts of the polynomial function C(t) = 2t4-8t3+6t2

A: Given The polynomial function C(t) = 2t4-8t3+6t2 We have to find the t intercetps of the C(t) =…

Q: While hovering near the top of a waterfall in a national park at 5184 feet, a helicopter pilot…

A: In the given question we have to find the time when the sunglasses will hit the ground.

Q: Determine the degree of the polynomial P(x) and arrange the terms in decreasing order. 7 – 7x – 9x2…

A: We have to find the degree of polynomial at first.

Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

A: Given that 2+i is a zero, so (2-i) is another zero So the factors are (x-(-4)) , (x-(2+i)),…

Q: Do you think that the polynomial is a good model for the height of the coaster throughout the ride

A: In this question, we need to check the condition for h(t) As we know the coaster must back at the…

Q: Given a polynomial f (x), the quotient f(x) has a remainder of 40. What is the value of f (7)? x-7

Q: While hovering near the top of a waterfall in a national park at 4096 feet, a helicopter pilot…

A: The ht of the sunglasses after 't' seconds is polynomial function ht=-16t2+4096

Q: The leading coefficient of the polynomial function ?(?) = x2 + 4x3 + 1 is 4. How can you say that 4…

Q: Find a polynomial `P(x)`whose graph is shown above. You may leave your polynomial in factored…

A: We have

Q: Jen, a biologist, is growing bacterial cultures at different temperatures as part of her research.…

A: Since, it is given that the number of cells in the culture growing at 25°Cis given by the polynomail…

Q: The total revenues (in dollars) for a company to sell x blank audiocassette tapes per week is given…

A: topic - linear equations

Q: how do you find a degree of a polynomial?

A: To find the degree of the polynomial rewrite the polynomial in ascending or descending powers of the…

Q: Find the x-intercepts of the polynomial function. f(x) = x6 − 7x3 − 8 (x, f(x)) =…

A: given polynomial function is f(x)=x6-7x3-8 we have…

Q: Find the polynomial representing the distance of the water skier from the boat. (Assume f(x) = (7x –…

Q: The polynomial function P(x) = 65x - 66,000 models the relationship between the number of computer…

A: Here a polynomial function is given that models the relationship between the number of computer…

Q: While hovering near the top of a waterfall in a national park at 2704 feet, a helicopter pilot…

A: The height h(t) of the sunglasses after t seconds is given by the polynomial function ht =…

Q: The polynomial $-16t^2+v_0t+s_0$−16t2+v0t+s0 represents the height (in feet) of an object, where…

Q: Q. answer chices 4th degree polynomial with a positive leading coefficient 4th degree polynomial…

A: Given. We are given a graph with following features. The given graph is symmetric about a point on…

Q: A rocket is fired upward from the ground with an initial velocity of 220 feet per second. Neglecting…

A: A rocket is fired upward from the ground with an initial velocity of 220 feet per second. Neglecting…

Q: Indicate whether the expression defines a polynomial function. P(x) = −x2 + 2x + 7 If it is a…

A: Given:

Q: Evaluate the polynomial when (a) x = 0 and (b)x= -2. xétổ 15 (a) When x = 0, the polynomial equals

Q: Describe the left-hand and right-hand behavior of the graph of the polynomial function.h(x) = 1 −…

A: Given: h(x)=1-0.5x5-2.7x3

Q: Describe the end behavior of the polynomial equation y = x4 – 10x2 + 16? Both tails point upward. O…

Q: Find the p(3) if the polynomial function is defined by p(x)=2x3-x2+3x-2. Find p(x+1) if the…

A: Given: px=2x3-x2+3x-2 px=3x2+7x+24

Q: A projectile is fired upward from the ground with an initial velocity of 320 feet per second. Assume…

Q: A drugstore that sells a certain brand of Vitamin C tablets predicts that their profit P can be…

Q: Make up a polynomial that has the following characteristics: crosses the x-axis at -1 and 4, touches…

A: The zeros of a polynomial is in the form of x-bn. (Here, n can be odd or even) If a graph crosses…

Q: Find the t-intercepts of the polynomial function C(t) = 2t4-8t3+6t2 May I have a typed answer,…

A: t-intercept, put C(t)=0, 2t4-8t3+6t2 =0 2t2(t2-4t+3)=0

Q: dolphin jumps out of the water. The quadratic function y = –16x2 + 32x models the dolphin’s height…

Q: A girl is throwing a ball off the cliff into the ocean. The polynomial h(t)=h(t)= −16t2+350 gives…

A: Given: A polynomial h(t) for the height of the ball after t seconds h(t)=-16t2+350

Q: Choose the end behavior of the graph of each polynomial function. O Falls to the left and rises to…

Q: Jen, a biologist, is growing bacterial cultures at different temperatures as part of her research.…

A: Given, Since, it is given that the number of cells in the culture growing at 25°Cis given by the…

Q: Graph the polynomial P(x) =-(x + 2)^ 3 + 27, showing clearly all x- and y-intercepts.

A: the given polynomial is: P(x)=-x+23+27 we have to graph the given polynomial showing clearly all x…

Q: The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be…

A: Given, The tide depth in Deep cove from 4:00 to 15:00 on January 6, 2011 can be modelled by…

Q: How do you find the number of zeros in a polynomial f(x)=x^4-x^7

A: In order to find the number of zeros in a polynomial f(x) = x^4-x^7, first equate the given…

Q: Find the x-intercepts of the polynomial function. f(x) = x6 − 63x3 − 64 (x, f(x)) =…

Q: Construct a polynomial function with the following properties: third degree, only real…

Q: While hovering near the top of a waterfall in a national park at 1936 feet, a helicopter pilot…

Q: Construct a polynomial function with the following properties: third degree, only real coefficients,…

Q: Graph the equation to the left in desmos. Take a screen shot of the graph or make a sketch. From the…

Q: The polynomial function P(x) = 90x -78,000 models the relationship between the number of computer…

A: Given , The polynomial function P(x) = 90x - 78000 models the relationship between between the…

Q: A rocket is fired upward from the ground with an initial velocity of 280 feet per second. Neglecting…

A: A rocket is fired upward from the ground with an initial velocity of 280 feet per second. Neglecting…

Q: Describe the end behavior of the polynomial equation y = -2³ + 2x² + x – 2. O The left tail points…

Q: A shed in the shape of a rectangular prism has a volume of 910 cubic feet. The length of the…

Q: A rocket is fired upward from the ground with an initial velocity of 180 feet per second. Neglecting…

A: To find the height of rocket at t = 7 sec Given : the height of the rocket at any time t can be…

Q: The arch at the entrance to a tunnel is described by the polynomial function f(x) = -0.25x2 + 29.…

Q: Pls help ASAP

Q: While hovering near the top of a waterfall in a national park at 6400 feet, a helicopter pilot…

A: Given that the height h(t) of the sunglasses after t seconds is given by the polynomial function

Q: For #1&2, describe the end behavior of the graph for the polynomial function. 1. y = -7x° + 12x6 –…

Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

100%

A girl is throwing a ball off the cliff into the ocean.

The polynomial h(t)= −16t²+400 gives the height of a ball t seconds after it is dropped from a 400-foot tall cliff. Find the height after t = 1 seconds.

The height is feet._____________

Expert Solution

Step 1

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Polynomial$

Learn more about

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

Similar questions

The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side x feet and sides of height y feet. Find the cost of producing a box with x=5 feet and y=8 feet.
The polynomial 8t2+24t+4gives the height, in feet, of a ball t seconds after it is tossed into the air, from an initial height of 4 feet. Find the height after t=3seconds.
The polynomial 16t2+250 gives the height of a ball t seconds after it is dropped from a 250-foot tall building. Find the height after t=0 seconds.
Height of Projectile The height (in feet) of an object projected upward is given by the polynomial 16t2+60t+90 where t represents time in seconds. Find the height after t=2.5 seconds.
Stopping Distance The number of feet it takes for a car traveling at x miles per hour to stop on dry, level concrete is given by the polynomial 0.06x2+ 1. 1x. Find the stopping distance when x = 60 mph.
In the following exercises, find the height for each polynomial function. 68. A girl drops a ball off the cliff into the ocean. The polynomial h(t)=16t2+200 gives the height of a ball t seconds after it is dropped. Find the height after t=3 seconds.
For the polynomial 8y43y2+1 (a) Is it a monomial, binomial, or trinomial? (b) What is its degree?
Stopping Distance The number of feet it takes for a car traveling at x miles per hour to stop on dry, level concrete is given by the polynomial 0.06x2+1.1x . Find the stopping distance when x=40 mph .
In the following exercises, find the height for each polynomial function. 72. The polynomial C(x)=6x2+90x gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side x feet and height 4 feet. Find the cost of producing a box with x=6 feet.
In the following exercises, find the height for each polynomial function. 67. A painter drops a brush from a platform 75 feet high. The polynomial function h(t)=16t2+75 gives the height of the brush t seconds after it was dropped. Find the height after t=2 seconds.
If division of a polynomial by a binomial resultsin a remainder of zero, what can be conclude?
In the following exercises, find the height for each polynomial function. 70. A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial R(p)=4p2+420p . Find the revenue received when p=90 dollars.