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
Airida [17]
2 years ago
8

The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15

story building.
choose the graphic representation of the quadratic function

Mathematics
2 answers:
katrin [286]2 years ago
8 0
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t)=-16.1t^2 + 150\\0=-16.1t^2 + 150\\16.1t^2=150\\t^2=\frac{150}{16.1}=9.32\\t=+-\sqrt{9.32}=+-3.05\\t1=3.05\\t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1\\b=0\\c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

Darina [25.2K]2 years ago
4 0

Answer: A

Step-by-step explanation:

You might be interested in
What was the error in this equation?
PtichkaEL [24]

Answer:

The error is the solution.

The solution is all real numbers, or infinite amount of solutions.

Step-by-step explanation:

Step 1: Write equation

-4(2n - 3) = 12 - 8n

Step 2: Solve for <em>n</em>

  1. <u>Distribute -4:</u> -8n + 12 = 12 - 8n
  2. <u>Subtract 12 on both sides:</u> -8n = -8n
  3. <u>Add 8n to both sides:</u> 0 = 0

Here we see that <em>n</em> can equal any number. If you plug in any number <em>n</em>, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.

n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.

3 0
3 years ago
What 3342xdx4 i need to know in 20 sec
mixas84 [53]

Answer:

13368d

Step-by-step explanation:

3342 x d x 4

= 13368 x d

= 13368d

5 0
2 years ago
Two airplanes leave an airport at the same time, one going NW bearing 135 degrees at 415mph and the other going east at 327 mph.
arsen [322]

Find the distances of each plane for the 4 hours, then use the law of cosine.

See attached picture:

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-125%5E%7B4%7D%20%7D" id="TexFormula1" title="\sqrt[3]{-125^{4} }" alt="\sqrt
aleksandrvk [35]

Answer:

-166.6666667

Step-by-step explanation:

the full step u r welcome

3 0
3 years ago
Part A: What is the mean and median amount of rainfall of this data set?
vodomira [7]

Answer:

Part A:  2.mean=6.42,median=7

Part B: 2.median

Part C: 2.No it is skewed left and unimodal

Step-by-step explanation:

Part A:

Finding the mean is pretty easy, you just need to divide the sum of the data values with the number of data. There are 19 data count which values spread from 2 to 10. The calculation for the mean will be:

mean = (2*1 + 3*1 + 4*2 + 5*2 + 6*3 + 7 *3 + 8 *4 + 9*2 + 10*1)/ 19

mean = 6.42105

To find the median, you have to put the data into a sequence from lowest to highest value. Then you have to find the spot where there is the same number of data above and below that spot. There are 19 data counts, so the median will be the (19+1)/2= 10th data from the highest or lowest.

The data should look like this:

2, 3, 4, 4, 5, 5, 6, 6, 6,            7,           7, 7, 8, 8, 8, 8, 9, 9, 10

The median is 7

Part B:

To choose which central tendency best used for data, you have to find how the distribution of data. Mean is easily influenced by outlier so it's not good for skewed data. Median is a better choice for skewed data.

The mode used for a categorical or discreet type of value. The data of rainfall using numerical value, so the mode is not good.

Since the data is skewed to the left (explanation on part C) then median will be best choice to represent the data.

Part C:

The normal distribution has one peak and symmetrical. Data with one peak also called unimodal. In this data, there is only one peak at 8 so it's unimodal.  

A data called symmetrical if it spread equally to the right and left. The data here is not symmetrical, it has more value on the left of 8 compared to the right of it. The lowest value on the left is 2 which is 6 value lower than the peak, while the highest value is 10 which 2 values higher than the peak. From this observation, we can say that the data is

1. skewed left

2. unimodal

Since the data skewed, its not a normal distribution.

7 0
3 years ago
Other questions:
  • a gardener uses a tray of 6 conical pots to plant seeds. each conical pot has a radius of 3 centimeters and a depth of 8 centime
    11·2 answers
  • The price of a book is 10$. To buy the book, Rosie must also pay 6% sales tax. Rosie want to know the total price of the book in
    6·1 answer
  • How to solve step by step 4a - 5 = 10 -a
    13·2 answers
  • Michael is 17 years old than john. In 4 years the sum of their ages will be 49. Fins Michaels present age.
    11·2 answers
  • Describe a sequence of transformations that transform the graph of the parent function f into the graph of the function g.
    6·1 answer
  • HELP PLEASE
    15·2 answers
  • Make X the subject of the formula<br><br><br>will mark brainliest!!​
    6·1 answer
  • Is 0.3478 a rational number
    14·1 answer
  • Is -4x + y = -9 parallel to x + 4y = 12
    8·1 answer
  • Five more than seven time a number is ninerty-six.what is the number?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!