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
Sindrei [870]
3 years ago
13

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectil

e is modeled using the equation h(t) = –16t2 + 48t + 190.Approximately when will the projectile hit the ground?
a. 1.5 secondsB. 3.2 secondsC. 5.3 secondsD. 6.2 seconds
Mathematics
2 answers:
Mademuasel [1]3 years ago
5 0
For this case we have the following quadratic equation:
 h (t) = -16t ^ 2 + 48t + 190

 By the time the projectile hits the ground we have the final height equal to zero:
 -16t ^ 2 + 48t + 190 = 0

 Therefore, we have a second-order polynomial that we must solve:
 Using resolver we have:
 x =  \frac{-48+/-\sqrt{48^2-4(-16)(190)} }{2(-16)}
 Rewriting:
 x = \frac{-48+/-\sqrt{2304+12160} }{-32}
 x = \frac{-48+/-\sqrt{14464} }{-32}
 Doing the calculations we have two roots:
 t1 = 5.3

t2 = -2.3
 We discard the negative root because we are looking for time which is greater than zero.
 Answer:
 
the projectile will hit the ground after:
 
C. 5.3 seconds
Sergio [31]3 years ago
4 0

Answer:

C- 5.3 Seconds

You might be interested in
The square of a negative number increased by 6 times the number is 72. Find the number.
Karo-lina-s [1.5K]

Answer:

y = 6

Step-by-step explanation:

(y + 6) × y = 72

y = negative number²

When negative numbers are squared they become positive.

y = 6

<u>Check</u>

(6 + 6) × 6 = 72

12 × 6 = 72

8 0
2 years ago
An object is dropped from a height of 1700 ft above the ground. The function h=-16t^2+1700 gives the object’s height h in feet d
Softa [21]
The answer is
<span>a) 1000=-16t^2+1700, implies t² = -700 /-16, and t= 6.61s
b) </span><span>970= -16t^2+1700, </span><span>implies t² = -730 /-16, and t=6.75s

c)
reasonable domain of h
h is polynomial function, so its domain is R, (all real number)
its range
the inverse of h is h^-1 = sqrt (1700- t / 16), and its domain is </span>
<span><span><span>1700- t / 16>=0, so t <1700,
the range of h is I= ]-infinity, 1700]</span> </span> </span>




8 0
3 years ago
Calculate the mean 1,9,10,12,13,13
ExtremeBDS [4]

Answer:

By adding all the numbers and then divding them by 6 (since thats how many numbers there are) you will get 9.833...

5 0
3 years ago
Read 2 more answers
A machinist is allowed 1% tolerance on a shaft that measures 15 inches long. What is the amount of tolerance
Sauron [17]
Tolerance = 1% = 0.01 on a shaft of 15 in
Tolerance in inches = 15 x 0.01 =0.15 in
Since it' s a tolerance the acceptable error is either +0.15in or -0.15 in

8 0
3 years ago
Read 2 more answers
I forgot how to solve these. Please help.
AnnyKZ [126]
This is the answer for both number 9 and number 11.
Good luck

6 0
3 years ago
Read 2 more answers
Other questions:
  • Dino’s dinner charges $4 for each sandwich. Carla’s cafe charges $8 for each sandwich. Write the total costs of each 1,2,3 and 4
    8·1 answer
  • Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options.
    6·2 answers
  • Compare:
    14·1 answer
  • How many licks does it take to get to the center of a tootsie pop?
    14·2 answers
  • Factorize px+py-qx-qy
    14·1 answer
  • Help me with that asap
    8·1 answer
  • A rectangular room is 7 times as long as it's wide and it's perimeter is 64metres. Find the dimension of the room.
    10·1 answer
  • Hari earns Rs 4300 per month. He spends 80% from his income. How much does he save in a year? ​please give answer in step by ste
    6·2 answers
  • What is the slope of 7y=49? ​
    14·2 answers
  • A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!