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
Lerok [7]
3 years ago
10

The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

0 ft./s is given by the equation H equals 3+90 T -16 T squared where t equals time in seconds. After how many seconds will the ball be 84 feet above the ground
Mathematics
1 answer:
mariarad [96]3 years ago
3 0

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

You might be interested in
5.3.4 Journal: Two-Variable Systems Elimination <br><br> I need urgent help
max2010maxim [7]

Answer:

1) X stands for individual acts and y,  group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) S=\left \{ 5,10 \right \}

Step-by-step explanation:

Completing with what was found:

<em> 1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30</em>

1. What do x and y represent in this situation?

X stands for individual acts and y,  group acts.

Besides that, In the system of equation, they represent the time for x, and the time for y.

2. Do you agree that your classmate set up the equations correctly? Explain why or why not.

Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.

3. Solving the system by Elimination

\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\:*(-3)\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ -12x+ -3y= -90\end{matrix}\right.\\3y=30\Rightarrow y=10\\4x+(10)=30\Rightarrow 4x=20\Rightarrow x=5\\S=\left \{ 5,10 \right \}

8 0
3 years ago
Joseph ordered 17 yards of lumber to build a tree house. how many inches of lumber did he order?
masya89 [10]

Answer:

612 inches.

Step-by-step explanation:

1 yard = 36 inches.

17 * 36 =

8 0
3 years ago
Read 2 more answers
Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
Anna71 [15]

Answer by JKismyhusbandbae: B) –10.6

Work/Explanation: Since the sequence slowly gets smaller, it is likely that each term is something added to (subtracted from) the previous term. To get from –7.9 to –8.8, it appears that the first has had –0.9 added to it. Continue adding –0.9 to get that the fourth term is –10.6.

8 0
3 years ago
Can someone please help
USPshnik [31]

Answer:

-40

Step-by-step explanation:

Since x is 10 you need to multiply 10*-4 which equals -40.

8 0
3 years ago
Mrs. Watson shared a cheese pizza among herself and four children. Each person ate 18 of the pizza. How much of the pizza was ea
katrin [286]

Answer:

90

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of t
    6·1 answer
  • Nami is adding a mosaic pattern to the top of a small round table.the distance around the edge of the table top is 4.7 feet .wha
    14·1 answer
  • Which of the following values is between 9 and 10
    13·2 answers
  • The cost of the lunches for the field trip can be represented by the expression:
    8·2 answers
  • Solve the equation for a. a2 + 102 =12^2
    8·2 answers
  • The graph of y = -5x + 1
    6·1 answer
  • Two angles have measures of 53° and 127°. What type of angle pair do they form?
    6·1 answer
  • Round each number to the nearest tenth. What is the best estimate for the answer to 382.24 – 297.28?
    12·2 answers
  • What is the slope of the line?
    10·1 answer
  • Charles has 9 times as many red marbles as blue marbles.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!