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
pshichka [43]
2 years ago
6

1. The height of a missile t seconds after it has been fired is given by h=4.9t^2+44.1t. How many seconds will it take for the r

ocket to reach its greatest height?​
Mathematics
1 answer:
asambeis [7]2 years ago
7 0

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: x=\frac{-b}{2*a}. The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

t=\frac{44.1}{2*(-4.9)}

t=4.5

<u><em>The rocket will take 4.5 seconds to reach its maximum height.</em></u>

You might be interested in
I have 4 questions (please help) IM BEGGING YOU i need help! please!!!!
oksian1 [2.3K]
1) 18h = 252
You divide each side by 18, so you can get "h" alone on a side, and its value on the other side of the equation.
(18h)/18 = 252/18
h = 14 (Answer C)

2) 31d = 186.
Same Thing, you divide each side by 31, so you can get "d" alone on a side, and its value on the other side of the equation.
(31d)/31 = 186/31
d= 6 (Answer B)

3) 55c = 385
Again, same thing, You divide each side by 55, so you can get "c" alone on a side, and its value on the other side of the equation.
(55c)/55 = 385/55
c = 7 (Answer B)

4) 50w = 1050
You divide each side by 50, so you can get "w" alone on a side, and its value on the other side of the equation.
(50w)/50 = 1050/50
w=21 (Answer A)

As you can notice, they all follow the same steps: dividing by the coefficient of the variable both sides, so you can the variable alone on the first side of the equation, and its value on the second side.

Hope this Helps! :)
6 0
3 years ago
Given the parent functions f(x)=3x+2 and g(x)=5^x-10,what is g(x)-f(x)?
Stels [109]
-3x + 5^x - 8 is what it is simplified so thats your final answe :}
4 0
2 years ago
Can someone answer this ill give 20 brainly points
antiseptic1488 [7]

Answer:

The answer you're looking for is B. 27.55 m

6 0
2 years ago
Help on this assignment please :(
topjm [15]

Answer:

x = 16

Step-by-step explanation:

The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.

In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...

... m∠A +m∠B +m∠C = 180°

... (3x+6)° +50° +(9x -68)° = 180°

... 12x -12 = 180 . . . . . divide by °, collect terms

... x -1 = 15 . . . . . . . . . .divide by the coefficient of x

... x = 16 . . . . . . . . . . . add 1

_____

<em>Check</em>

m∠A = (3x+6)° = 54°

m∠C = (9x -68)° = 76°

The total of angles is 54° +50° +76° = 180°. . . . . as it should be

7 0
3 years ago
Order these units from smallest to largest:
Veronika [31]
The units are ordered smallest to largest from top to bottom:
Picometer (pm) = 1 x 10⁻¹² meters
Nanometer (nm) = 1 x 10⁻⁹ meters
Micrometer (um) = 1 x 10⁻⁶ meters
Millimeter (mm) = 1 x 10⁻³ meters
Centimeter (cm) = 1 x 10⁻² meters
Decimeter (dm) = 1 x 10⁻¹ meters
Meters (m) = 1 meter
Kilometers (Km) = 1 x 10³ meters
7 0
3 years ago
Other questions:
  • an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time
    13·1 answer
  • Is 2 1/8 equal to -2 1/8?
    11·2 answers
  • Solve this inequality: 3p – 16 &lt; 20.
    12·1 answer
  • Pencils cost $.30 an I have five dollars how many can I by
    14·1 answer
  • Waht is 4 x 5 i just learnt multipalcashin
    8·2 answers
  • The average weight of David, Esther, and Henry is 42.6 kg. Esther is twice as heavy as Henry. David is 5.2 kilograms lighter tha
    12·1 answer
  • I think this may be 29.8
    5·2 answers
  • The admission to the fair is $5 and the cost per ride is 50 cents. If his parents give hime $20, write and solve a linear equati
    6·1 answer
  • For any numbers a,b, and n, the expression (a•b)^n is equal to a^b•n^b. true or false?
    6·1 answer
  • What is the value of sin(F)?<br> 1 point<br><br> 4/3<br> 3/5<br> 4/5<br> 3/4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!