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
Aleksandr-060686 [28]
3 years ago
7

A ball is thrown into the air with an initial velocity of 22 meters per second.The quadratic function h(t)=-4.9t2+22t+5.5represe

nts the height of the ball above the ground,in meters, with respect to time t,in seconds.
Mathematics
1 answer:
svetlana [45]3 years ago
7 0
<h3><u>Question:</u></h3>

A ball is thrown into the air with an initial velocity of 22 meters per second.

The quadratic function h(t) = -4.9t2 + 22t + 5.5 represents the height of

the ball above the ground, in meters, with respect to time t, in seconds.

Determine h(3) and explain what it represents.

<h3><u>Answer:</u></h3>

h(3) = 27.4

h(3) = 27.4 means that the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

<h3><u>Solution:</u></h3>

The quadratic equation that represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds is given by:

h(t) = -4.9t^2+22t+5.5

To find h(3), substitute t = 3 into given quadratic equation and solve for it

Plug in t = 3 in h(t)

h(3) = -4.9(3)^2+22(3)+5.5\\\\\text{Simplify the above expression }\\\\h(3) = -4.9 \times 9 + 66 + 5.5\\\\h(3) = -44.1+66+5.5\\\\h(3) = 27.4

Thus h(3) = 27.4

h(3) = 27.4 means that the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

You might be interested in
I will mark as brainliest:)
labwork [276]
Hii I believe your option would be D. I hope it helps :)
8 0
3 years ago
Read 2 more answers
Help with the question above! Pleaseeeeee!
SSSSS [86.1K]
Question 5:
 the circumference is given by:
 C = 2 * pi * r
 Where,
 r: radio of the ball
 Substituting values we have:
 22 = 2 * pi * r
 Clearing r we have:
 r = 11 / pi
 The surface area is given by:
 A = 4 * pi * r ^ 2
 Substituting values we have:
 A = 4 * 3.14 * (11 / 3.14) ^ 2
 A = 154 in ^ 2
 Answer:
 
The surface area of the balloon is:
 
A = 154 in ^ 2

 Question 8:
 For this case we have that the scale factor is given by:
 V1 = (k ^ 3) * V2
 Substituting values we have:
 729 = (k ^ 3) * 2744
 Clearing k:
 k = (729/2744) ^ (1/3)
 k = 9/14
 Answer:
 the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
 9:14

 Question 2:
 The volume of the cylinder is given by:
 V = pi * r ^ 2 * h
 Where,
 r : radio
 h: height
 Substituting values:
 V = pi * (2.8) ^ 2 * (13)
 V = 101.92 * pi
 Answer:
 
The volume of the cylinder is:
 
V = 101.92 * pi
 
option 3
4 0
3 years ago
Read 2 more answers
Which is bigger 20% of 400 or 1//4 f 360
nekit [7.7K]
20% =20/100=2/10
20% of 400 =(2/10)*400 =80
1/4 of 360= (1/4)*360 =90
90>80, so 1/4 of 360 is bigger than 20% of 400
7 0
3 years ago
Read 2 more answers
I need some help with this problem can anyone help pls
Svet_ta [14]
Well we would need to see some type of graph in order to help you find the slope.
4 0
3 years ago
Find the volume of this square<br> based pyramid.<br> 10 cm<br> 8 cm<br> 8 cm<br> V = [?] cm3
oksano4ka [1.4K]

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

3 0
3 years ago
Other questions:
  • 12.5% of what number is 24? Please help and show work
    12·1 answer
  • Write the quadratic function in the form g(x)=a(x-h)^2 +k.
    14·1 answer
  • The diameter of the larger circle is 12.5 cm.
    9·2 answers
  • Please help will mark as brainliest
    8·1 answer
  • If Jamal has 2 times as many quarters as dimes and they have a combined value of 420 cents, how many of each coin does he have
    9·1 answer
  • 68 more than the quotient of an unknown number and 54 is 72.
    13·2 answers
  • If x²+1/4x²=8 ,find the value of x+1/2x​
    5·1 answer
  • The number of cases of a new diease can be modeled by the quadratic
    14·1 answer
  • What is the difference between a rate that is compounded annually and a rate that is compounded semiannually
    5·1 answer
  • Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!