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
il63 [147K]
3 years ago
12

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

e given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. y=-16x^2+242x+73
Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:

t = 15.42 s

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

y=-16x^2+242x+73

We ned to find the time when the rocket will the ground. For this, y = 0

-16x^2+242x+73=0

It is a quadratic equation whose solution is given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here, a = -16, b = 242 and c = 73

x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s

Neglecting negative value.

So, it will hit the ground in 15.42 s.

You might be interested in
If y equals 6 , what is the value of x given 8x plus 5y equals 62
OverLord2011 [107]
8x+5(6)=62
8x+30=62
8x=32
x=4
6 0
3 years ago
Read 2 more answers
Fine the area if the figure.(Sides meet at the right angles)
Liula [17]

Answer:

45 cm²

Step-by-step explanation:

6 0
2 years ago
What is the answer to this problem?<br> 8x-1=5x-1+3x
Maksim231197 [3]
U wouldn’t have a answer because it would be ( 0=0 )
8 0
3 years ago
A cleaning company charges a fee of &amp;65 in addition to $10.50 per hour of cleaning, let x represent the number of hours clea
photoshop1234 [79]
Fee of $65
$10.50 per hour

'x' represents hours

Therefore we have:

y = 10.50x + 65

Because 10.50 is the cost per hour, and x represents hours, so we put these together. 65 is a one-time fee, so we just add it on.
3 0
3 years ago
A piece of cardboard measuring 16 inches by 11 inches is formed into an open-top
Vlada [557]

Answer:(A) Determine the Volume Function

7 0
3 years ago
Other questions:
  • The height of an equilateral triangle is 13 feet. The triangles area is 39 feet squared. What is the perimeter of the triangle?
    10·1 answer
  • If: 5x + 14 = −7 ,Then: 5x + 14 − 14 = −7 − 14 This is an example of using...
    12·1 answer
  • Misty bought 3 CDs. The country music CD cost $12. The rock music CD cost 2/3 as much as the country music CD. The platinum edit
    6·1 answer
  • 54 POINTS FOR THE ANSWER!
    14·2 answers
  • The hypotenuse of a right triangle is 28 units and the length of one of the legs is 14 units. What is the length of the other le
    8·1 answer
  • The distance from C to D is 24 miles. The distance from B to C is 2/3 of the distance from C to D. The distance from A to B is 3
    7·1 answer
  • Bernard designs motorized bicycles at Smart Gear Technologies. His total earnings are
    8·1 answer
  • If there are 651 6th grade students at school, and three out of every seven of them play a sport, how many 6th graders do not pl
    8·1 answer
  • Jaquay has a square garden with an area of 97 square feet. What is the length of each side of the garden?
    11·1 answer
  • 13, 69, 89, 25, 55, 20, 99, 75, 42, 18, 66, 88, 89, 79, 75, 65, 25, 99, 66, 78. Order from least to greatest
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!