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
hjlf
2 years ago
9

A projectile is fired vertically upward, and its height s(t) in feet after t seconds is given by the function s(t)=-16t^2+600t+8

00. After how many seconds, to the nearest tenth, will the projectile hit the ground?
Mathematics
1 answer:
nalin [4]2 years ago
8 0

Answer:

The projectile will hit the ground after 38.8 seconds.

Step-by-step explanation:

You know that the height s (t) in feet of the projectile after t seconds is given by the function

s(t) = - 16t² + 600t + 800.

To know the time at which the projectile will hit the ground, you must replace s(t) by height 0:

0=- 16t² + 600t + 800

This is a quadratic function of the form ax2 + bx + c, where a= -16, b=600 and c=800.

To solve a quadratic function, you must apply the expression:

x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}

In this case:

x1,x2=\frac{-600+-\sqrt{600^{2}-4*(-16)*800 } }{2*(-16)}

Solving:

x1,x2=\frac{-600+-\sqrt{360000+51200 } }{-32}

x1,x2=\frac{-600+-\sqrt{411200 } }{-32}

x1,x2=\frac{-600+-641.25 }{-32}

So:

x1=\frac{-600+641.25 }{-32}

x1=\frac{41.25 }{-32}

x1= -1.289 seconds

and

x2=\frac{-600-641.25 }{-32}

x2=\frac{-1241.25 }{-32}

x2= 38.789 ≅ 38.8 seconds

Time cannot be negative. So, <u><em>the projectile will hit the ground after 38.8 seconds.</em></u>

You might be interested in
F(x)= 6x-7 g(x)=6x+7, f(g(x))= and g(f(x))=
horrorfan [7]
Can u take a picture please?
6 0
2 years ago
How do you solve this step-by-step?
gtnhenbr [62]

Answer:

  • 7 1/20

<u>OAmalOHopeO</u>

4 0
2 years ago
Show your work &lt;------<br> *PLEASE HELP I'LL GIVE BRAINLIEST YOU HAVE TO SHOW WORK THO*
aniked [119]

Answer:

N = 10

Step-by-step explanation:

4^10=4^n

after that just simplify

:)

Hope this helps!

7 0
3 years ago
Read 2 more answers
What is the precent of 15 is 12
kati45 [8]
100%/x%=12/15
<span>(100/x)*x=(12/15)*x       - </span>we multiply both sides of the equation by x
<span>100=0.8*x       - </span>we divide both sides of the equation by (0.8) to get x
<span>100/0.8=x </span>
<span>125=x </span>
<span>x=125

so 125%</span>
8 0
2 years ago
Read 2 more answers
Lin run 5 laps around a track in 10 minutes. How many minutes per lap is that​
ludmilkaskok [199]

Answer:

2min per lap

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • One number is nine more than twice another. If their sum is decreased by ten, the result is fourteen. Find the numbers.
    13·1 answer
  • ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually g
    14·2 answers
  • F(x) = (x + 1)2<br><br> I need helpppp! <br> Someone helppp
    13·1 answer
  • Help me please please
    12·1 answer
  • Plzzz answer question number 2 I will give you 100 points
    14·2 answers
  • Mei won 61 lollipops playing horseshoes at the county fair. At school she gave two to every student in her math class. She has n
    5·2 answers
  • There are 4 cats in a street,Five more come . How many cats are in a street ?
    11·2 answers
  • The area of the rectangle shown is 44 m2.<br> | 3 m<br> x m<br> Work out the missing length x.
    11·1 answer
  • Which of the following is a non-linear equation?
    5·1 answer
  • QUESTION 4 PLS HELP MEE
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!