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
3 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]3 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
A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax? $1.26 $12.60 $19.26 $
elixir [45]
If you add 18 to 7% your number comes out as 19.26
7 0
3 years ago
Read 2 more answers
How the heck do you do this?!
Dennis_Churaev [7]
Use PEMDAS to figure out the order of operations:

Parentheses
Exponents
Multiplication/Division
Addition/Subtraction

Solve (-4 + -6) first, as this is in parentheses:

-4 + -6 = -10

10 - 5.3 * -10

Solve 5.3 * -10 next, as this is multiplication:

5.3 * -10 = -53

10 - -53

Now we can solve the equation:

10 - -53 = 63

The answer is 63.
7 0
3 years ago
Read 2 more answers
Rewrite the following linear equation in slope-intercept form. y+4=-2(x-1)
romanna [79]

Answer:

y = -2x - 1

Step-by-step explanation:

Rewrite y + 7 = -2(x - 3) in slope-intercept form (which is y = mx + b):

First, perform the indicated multiplication:

y + 7 = -2x + 6

Combining the constants, we get

y = -2x - 1

This is the desired equation in slope-intercept form.  slope is -2 and y-intercept is -1.

5 0
3 years ago
Given f(x) = 6 (1-x) what is the value of f (-8)
Oxana [17]
Thanks for the question!

f(x) = 6 (1 - x)
f(-8) = 6 (1 - (-8))
f(-8) = 6 (9)
f(-8) = 54

Hope this helps!
3 0
3 years ago
Find the value of y so that the line passing through the two points have the given slope (2,3) (7,y) m=-2/5
Liono4ka [1.6K]

Answer:

y = 1

Step-by-step explanation:

Find the slope of the line passing through the points (2,3) and (7,y):

m=\dfrac{y-3}{7-2}=\dfrac{y-3}{5}

The slope of the line is equal to

m=-\dfrac{2}{5},

then

\dfrac{y-3}{5}=-\dfrac{2}{5}\\ \\y-3=-2\\ \\y=-2+3\\ \\y=1

8 0
3 years ago
Other questions:
  • A bowler knocks at least 6 pins 70% of the time.Out of 200 rolls, how many times can you predict the bowler will knock down at l
    6·1 answer
  • A pole casts a shadow that is 15 feet long.A 6 foot tall man casts a showdown that is 5 feet long.find the height of the pole
    6·1 answer
  • What two values of x are roots of the polynomial below
    15·1 answer
  • Evaluate the expression -5-3+1
    13·2 answers
  • PlZ ANSWER WILL GIVE BRAINLY
    13·1 answer
  • Help me pls it is on a time i got 30 minutes left
    12·2 answers
  • Given points B (-9,5), L (5, 13), U (8,-4), and E(-1,-6).
    8·1 answer
  • A rectangle has a length that is 12 ft longer
    7·1 answer
  • Express (3x+1)(2x-5) as a trinomial
    11·1 answer
  • Write an equation that represents the line.<br> Use exact numbers
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!