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
Alisiya [41]
1 year ago
10

After grabbing some food from the cafeteria, Ray trips causing his food to go up in the air before hitting the ground. The parab

olic path of his food tray can be modeled by the function ℎ() = − 0. 2 , where h is 2 + 0. 4 + 1. 6 the height in meters after t seconds. a)
What is the maximum height of the tray?

If Ray manages to catch the tray at the same height from which the tray flew out of his hands, how long is it in the air?
Mathematics
1 answer:
Dahasolnce [82]1 year ago
7 0

The maximum height of the tray is 1.8 meters and the tray is in the air for 2 seconds

<h3>The maximum height of the tray</h3>

The distorted information (i.e. the function) in the question is:

h(t) = -0.2t^2 + 0.4t + 1.6

Differentiate the function

h'(t) = -0.4t + 0.4

Set to 0

-0.4t + 0.4 = 0

Subtract 0.4 from both sides

-0.4t = -0.4

Divide by -0.4

t = 1

Substitute t = 1 in h(t) = -0.2t^2 + 0.4t + 1.6

h(1) = -0.2(1)^2 + 0.4(1) + 1.6

Evaluate

h(1) = 1.8

Hence, the maximum height of the tray is 1.8 meters

<h3>Time spent in the air</h3>

In (a), we have:

t = 1

This represents the time to reach the maximum height.

The time spent in the air is:

T = 2t

This gives

T = 2 * 1

T = 2

Hence, the tray is in the air for 2 seconds

Read more about quadratic functions at:

brainly.com/question/11535666

#SPJ1

You might be interested in
What is the perimeter of the triangle?<br> units<br> Stuck? Watch a video or use a hint.<br> Report
Snezhnost [94]
The answer to your question is 30
4 0
2 years ago
Solve the inequality -5(x-7)&lt;15 algebraically for x
babunello [35]

Answer:

x>4

Step-by-step explanation:

trust

3 0
2 years ago
Do the sides 4, 5, and 6 form a Pythagorean Triple?
NemiM [27]

Answer:

They do not form a Pythagorean Triple.

If it was a Triple,  4^2+5^2 should equal 6^2.

4^2+5^2=16+25=41

6^2=36

41≠26

It doesn't work, therefore it is not a Pythagorean Triple.

3 0
2 years ago
Read 2 more answers
If the perimeter of an equilateral triangle is 24cm, find the length of it's side​
Olegator [25]
Since an equilateral triangle has 3 equal length sides, and in this case the total of these 3 sides is 24cm, the length of one side is 24/3 = 8cm
5 0
1 year ago
Read 2 more answers
Rohit wants to find the best model for a bivariate data set. He used a calculator to create a linear model, a quadratic model, a
san4es73 [151]

The answer is quadratic, I took the test.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Caroline rolls a fair dice 90 times.
    15·1 answer
  • 9 more than 2 multiplied by f
    13·2 answers
  • Write the decimal 1,072.039 in expanded form.
    12·2 answers
  • Will someone please help me with these questions. The table shows the average annual cost of tuition at 4-year institutions from
    5·1 answer
  • What is the range of 5, 9, 4, 7, 6, 2, 1, 8, 4, 9, 3, 4, 6, 4, 2, 4?<br><br> 2<br> 4<br> 6<br> 8
    5·2 answers
  • 2x/9 +x/3 = 13/6, solve for x
    7·2 answers
  • Marco needs to buy some dog food. At the nearest store, 3 bags of dog food cost $13.50. How much
    8·1 answer
  • Jackson is able to craft in Minecraft A cake is crafted from a recipe that requires 3 milk, 2sugar, 1egg and 3wheat. If Jackson
    9·2 answers
  • 3.2(s+10)=32<br> what is s?
    12·2 answers
  • silicon chips were packed 420 to the box. if 130,420 chips were to be shipped, how many boxes would be needed
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!