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
Luba_88 [7]
3 years ago
9

Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig

ht in feet. What is the maximum height that Maria will reach
Mathematics
1 answer:
Vadim26 [7]3 years ago
3 0

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

h=-16t^2+18t+5

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

v = \frac{dh}{dt} = -32t + 18

Therefore, when v = 0:

0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs

It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft

Therefore, her maximum height is 10.06 ft.

You might be interested in
Plz help me thank you
melisa1 [442]
Theres an app called slader. If you look up what your school book is it will give you all the answers
4 0
3 years ago
Read 2 more answers
Help me plzzz ergent need by today plzz​
elena-14-01-66 [18.8K]

Answer:

2.150 = 2.15

2 +15/10 > 2.15

2 + 0.015 < 2.15

215/100 = 2.15

Step-by-step explanation:

2.150 = 2.15, because 2.15 can be rewritten as 2.150.

2 +15/10=2+1.5=3.5

2 +15/10 > 2.15

3.5 > 2.15

2 + 0.015 < 2.15

2.015 < 2.15

215/100 = 2.15

2.15 = 2.15

5 0
3 years ago
Read 2 more answers
Solve<br> 4x + 1 = 2x -5
Jobisdone [24]

∑ Hey, ramosblan81 ⊃

Answer:

x = -3

Step-by-step explanation:

<u><em>⇒ Given:</em></u>

<em>4x + 1 = 2x -5</em>

<em />

<u><em>║ Solve ║:</em></u>

<em>4x + 1 = 2x -5</em>

<em>Subtracting 1 from both sides:</em>

<em>4x + 1 = 2x -5</em>

<em>4x + 1 - 1 = 2x -5 -1</em>

<em>4x = 2x - 6</em>

<em>Now subtracting 2x from both sides:</em>

<em>4x - 2x = 2x - 6 - 2x</em>

<em>2x = -6</em>

<em>Then divide both sides by 2</em>

<em>2x/2 = -6/2</em>

<em>x = -3</em>

<em />

<em>Thus, the answer is x = -3.</em>

<em />

<u><em>xcookiex12</em></u>

<u><em></em></u>

<em>8/18/2022</em>

3 0
1 year ago
Read 2 more answers
Jenni wrote a rational number that is positive. Which of the following is not a possible number that she wrote?
notsponge [240]

Answer:

There is no answer.

0 is rational since it can be written as a fraction (0/5, 0/69)

1 is obviously rational. 7/8 is .875 and 5 1/4 is 5.25

3 0
4 years ago
Define an equivalence relation P on Z as follows: Let x,y e Z ; xPy if and only if ke Z s.t. x - y = 2k Show how the reflexive p
defon

Answer with Step-by-step explanation:

We are given that an equivalence relation P on Z as

Let x,y\in Z

xPy if and only if k\in Z such that x-y=2k.

We have to show that how the reflexive property and symmetric property of an equivalence relations hold for P on Z.

We know that reflexive property

a is related to a by given relations.

If xPax then we get

x-x=0=2(0)

Where k=0 and 0 belongs to integers.

Hence, the relation satisfied reflexive property.

Symmetric property :If a is related to b then b is related to b.

If x and y is related by the relation

x-y=2k where k is any integer

y-x=-2k=2(-k)

k belongs to integers.

Hence, relation satisfied  symmetric property.

7 0
3 years ago
Other questions:
  • The sum of a 3 digit number and a 1 digit number is 223 the product of the numbers is 660 if one number is between 200 and 225 w
    5·1 answer
  • - a/6 =1<br> Help Please
    14·1 answer
  • What is the value of y? Assume that the line is tangent to the circle
    6·1 answer
  • Find the mean absolute<br>deviation of the set of data.<br>3, 8, 10, 12, 15​
    13·2 answers
  • 3x–x–4x+4x<br> What is this simplfied to? Please use exponents.
    10·2 answers
  • The perimeter of a rectangular swimming pool is 154m.Its length is 2m more than twice its breadth. What are the length and bread
    12·1 answer
  • One of the factor of x² +3x+2 is x+1 then the other factor is …..​
    14·1 answer
  • I need help with this
    10·1 answer
  • Suppose the population of a small town is 567 in 2011. The population DECREASES at a
    8·2 answers
  • 3(4x+1)=15? X=<br> What is the solution?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!