1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mel-nik [20]
1 year ago
11

20. A ball is dropped from a height of a little over 5 feet, and the height is measured at small intervals. The table below show

s the results.Time (seconds)Height (feet)0.005.2350.045.1600.085.0270.124.8510.164.6310.204.3570.244.0300.283.6550.323.2340.362.7690.402.2580.441.635(a) Use a graphing calculator or spreadsheet program to find a quadratic model that best fits this data, using time as t and height as Pt . Round each coefficient to two decimal places.Pt = (b) Based on this model, what height is expected after 0.30 seconds? Round your answer to two decimal places. feet(c) What height is expected after 0.52 seconds? Round your answer to two decimal places. feet(d) Which of the two previous predictions is likely to be more reliable?0.52 seconds0.30 seconds(e) When do you expect the height of the ball to be 1 foot? Round your answer to the nearest hundredth of a second.After seconds

Mathematics
1 answer:
nekit [7.7K]1 year ago
5 0

Step 1:

a) Write the quadratic model

a = -15.64

b = -1.24

c = 5.23

P(t)=-15.64t^2\text{ - 1.24t + 5.2}3

b) t = 0.30

\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}

c) t = 0.52 seconds

\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}

d) 0.30 is more likely to be relaible.

e)

\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}

You might be interested in
A triangle has the lengths of (10a+9) centimeter,(8a—3) centimeters and (10b+7). Which expression represents the perimeter in ce
marysya [2.9K]

Answer:

P = (18a+10b+13) cm

Step-by-step explanation:

Given that,

A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.

We need to find an expression that represents the perimeter of the triangle.

Perimeter = sum of all sides

P = (10a+9) + (8a-3) + (10b+7)

Taking like terms together,

P = (10a+8a)+10b+(9-3+7)

= 18a+10b+13

Hence, the epresssion for the perimeter is (18a+10b+13) cm.

6 0
3 years ago
What is the domain of the function shown in the graph?
lara31 [8.8K]

Answer:

the domain is the possible points on the x axis

Step-by-step explanation:

6 0
3 years ago
On Carrie’s map, Greenville and North Valley are 4.5 inches apart. The scale on her map is 1 inch = 20 miles. How far is Greenvi
damaskus [11]
Greenville is 90 miles from North Valley.
6 0
3 years ago
Beverly says f(a)=9.3 has multiple solutions. Stephanie says f(9.3)=a has multiple solutions. Who is correct?
RUDIKE [14]

Beverley is right

explanation

there is 3 answers

0,9,3

hope this helps

cauculator link: https://www.symbolab.com/solver/functions-calculator

:D

from Kenny

all the best!

4 0
3 years ago
30008876543*98765435678
Sladkaya [172]

I got math error ahhhaha

8 0
3 years ago
Read 2 more answers
Other questions:
  • One million four hundred ninety-six thousand seven hundred seventy -two in standard form
    7·2 answers
  • Ms.Jonhson and Ms.Siple were folding report cards to send home to parents. The ratio of number of report cards Ms.Jonhson folded
    12·1 answer
  • Help . Please need done in 15 minutes
    13·1 answer
  • A woman leaves home 7:00am and drives to o new york city 200 miles away.if she average 50 miles per hour,what time will she arri
    14·2 answers
  • Which of the following cannot be used as a reason in a proof?
    12·1 answer
  • What is the slope of the line? (please explain!)
    14·2 answers
  • Translate into an algebraic expression, find the number if 10% of it is m
    8·1 answer
  • How much wood could a wood chuck if 100 wood was timed by 24?
    7·1 answer
  • HELP PLEASE!!!!!!!!!!!!!!
    10·1 answer
  • A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!