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
sweet [91]
3 years ago
8

After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th

e equation h = -16t² + 64t + 3. Determine how long it will take for the ball to hit the ground. Round your answer to the nearest hundredth... Please help .. It is due tomorrow
Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

h=-16t^{2}+64t+3

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

-16t^{2}+64t+3=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0 is equal to

t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^{2}+64t+3=0  

so

a=-16\\b=64\\c=3

substitute in the formula  

t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}

t=\frac{-64(+/-)\sqrt{4,288}} {-32}

t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec  ---> the time cannot be a negative number

t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec

therefore

The ball will take 4.05 seconds to hit the ground.

You might be interested in
50 PTS I WILL MARK BRAINLIEST PLS HELP! A book store manager took several random surveys of customers to determine which book ge
aliina [53]
On average one out of 6 customers purchase fantasy books most frequently
6 0
2 years ago
Factorise completely (2x+1)^2 -(x-1)^2
Vladimir79 [104]
Use photomath ! It's an app that gives you the answer with the explanation and it shows you how it got to the answer !
5 0
3 years ago
I need help with number 4
krek1111 [17]
If I'm correct you, add the two prices together, getting the price of $429.99
6 0
3 years ago
Find the dimension of the cube volume = 64
olganol [36]
S
A
=
96
sq in.
Explanation:
V
=
s
3

64
=
s
3

find the cubic root of each side
3
√
64
=
s

4
=
s

so the side of the cube is 4 cu in.
The surface area of a cube is

S
A
=
n
A

where
S
A
is surface area,
n
is the number of faces, and
A
is the area of one face.
Te area of one face (
A
) is
s
2

so
A
=
16

n
=
6
S
A
=
6
⋅
16
=
96
6 0
3 years ago
PLEASE HELP ASAAAAPPPPPPP
ddd [48]
Distribute ^4 to both 2 and q^5

2^4 = 2 x 2 x 2 x 2 = 16
(q^5)^4 = q^20

16(q^20) = 16q^20 

16q^20 is your answer

hope this helps
3 0
3 years ago
Other questions:
  • Entrance to a state park costs $6 per vehicle plus $2 per per person in the vehicle how much would it cost for a car with 2 peop
    15·1 answer
  • X + 3= 8x -11
    8·1 answer
  • A cylinder has a volume of 320 cu in. and a height of 5". Find the radius of the cylinder. 10 in. 8 in. √8 in.
    8·1 answer
  • I dot know it please help
    11·2 answers
  • Please answer it now in two minutes
    11·2 answers
  • In the sahara desert one day it was 146 degrees F .in the Gobi desert the temperature of - 54 degrees f was recorded what is the
    15·1 answer
  • Find the effective rate of the compound interest rate or investment. (Round your answer to two decimal places.) A $50,000 zero-c
    8·1 answer
  • Please help!! i need help with numbers 3 and 4.
    5·2 answers
  • Denise is using a ladder to clean the outside of her second story windows. The ladder she is using is 24 feet long, and she puts
    5·1 answer
  • Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% c
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!