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
Ludmilka [50]
3 years ago
8

A ball is launched upwards from a height of 5 feet. The ball's height as a function of time, in seconds, is modeled by the funct

ion h(t)=-16t^2+144t+5. What is the time interval in which the ball has a height greater than 325 feet?​

Mathematics
1 answer:
Maru [420]3 years ago
4 0

The solution to the problem is:

4 < t < 5

Given that the height of the ball is given by the equation:

h(t) = 16t² + 144t + 5

h represents the height and t represent the time taken to achieve the height.

To determine the time interval for the height to be greater than 325 feet, we need to equate h(t) to 325, hence:

-16t² + 144t + 5 > 325

-16t² + 144t - 320 > 0

-t² + 9t - 20 > 0

-t² + 4t + 5t - 20 > 0

-t(t - 4) + 5(t - 4) > 0

(t - 4)(-t + 5) > 0

t - 4 > 0; -t + 5 > 0

t > 4, t < 5

Therefore the interval for the height greater than 325 ft is:

4 < t < 5

Find more at: brainly.com/question/17718371

You might be interested in
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Archy [21]
Each quarter of a set of data is denoted by a quartile:

The 25th percentile makes up the first quartile Q1.
The 50th percentile represents the second quartile Q2.
The 75th percentile is the third quartile, or Q3.
Finding the second quartile, Q2, is simple. It divides an ordered data set into upper and lower half and is the median of any data set.

The median of the bottom half, excluding the value of Q2, makes up the first quartile, or Q1. The median of the upper half, excluding the value of Q2, makes up the third quartile, or Q3.

Sort the values in your data set from lowest to highest.
the median, please. Q2 stands for the second quartile.
Divide the ordered data collection in half at Q2.
The median of the lower half of the data makes up the lower quartile Q1.
The median of the data's upper half represents the upper quartile Q3.
When determining the first and third quartiles, omit the median if the size of the data set is unusual.
The median, if the size of the data collection is even, is the average of the middle two values. Add the two figures together, then divide by two. The value of the median, which divides the data set into lower and higher half, is

How to Find Interquartile Range
The interquartile range IQR is the range in values from the first quartile Q1 to the third quartile Q3. Find the IQR by subtracting Q1 from Q3.

IQR = Q3 - Q1

How to Find the Minimum

The minimum is the smallest value in a sample data set. Ordering a data set from lowest to highest value, x1 ≤ x2 ≤ x3 ≤ ... ≤ xn, the minimum is the smallest value x1. The formula for minimum is:

Min=1=min()=1

How to Find the Maximum

The maximum is the largest value in a sample data set.

Ordering a data set from lowest to highest value, x1 ≤ x2 ≤ x3 ≤ ... ≤ xn, the maximum is the largest value xn. The formula for maximum is:

Max==max()=1

How to Find the Range of a Set of Data

The range of a data set is the difference between the minimum and maximum. To find the range, calculate xn minus x1.

=−1

So to Answer your question


6 0
2 years ago
A ladder is placed 5 feet away from a house. The ladder comes up to 12 feet on the side of the house. How long is the ladder? Pl
LuckyWell [14K]
Answer: A. 13ft

Explanation:

a^2 + b^2 = c^2
a = 5, b = 12

5^2 = 25, 12^2 = 144

25 + 144 = 169

Square root of 169 = 13
3 0
3 years ago
Read 2 more answers
Find the measure of each angle indicated.
NISA [10]

Answer:

there is no picture added

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A cookie has an unknown number of chocolate chips that are evenly distributed
makvit [3.9K]

Answer:

Step-by-step explanation:

<h2> x = (7 + 3) x 4</h2>
8 0
3 years ago
What is the answer to this equation?
nika2105 [10]

Answer:

use photomath

Step-by-step explanation:

ur welcome

7 0
3 years ago
Other questions:
  • A number s is subtracted from 7. When the result is divided by 3, the quotient is 2. What is the number?
    15·2 answers
  • Suppose you are using α = 0.05 to test the claim that μ &gt; 23 using a p-value. you are given the sample statistics , and find
    7·1 answer
  • The area of a circle is 3.14 square centimeters . Find the diameter
    12·1 answer
  • What is the graph of the inequality? 4x + 2y ≤ 6
    10·2 answers
  • The perimeter of the rectangle below is 132 units. Find the length of side CD
    15·2 answers
  • The function y = 3 squared - x - 3 is graphed only over the domain of {x | –8 &lt; x &lt; 8}. What is the range of the graph?
    13·1 answer
  • What is the solution to this equation? 6x+4=4x−2 Enter your answer in the box.
    5·2 answers
  • I WILL MAKE YOU THE BRAINLIEST EASY QUESTION
    9·2 answers
  • (1/2)^2 x (1/2) x (1/2)^3
    15·1 answer
  • Help! Will give brainlest
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!