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
What is 5/2 divided by 2/5
Len [333]

Answer: 6 and 1/4

Step-by-step explanation: To solve this problem, we first leave 5/2 alone so don't do anything to it.

For our second fraction, we want to switch the numerator and the

denominator which means find the reciprocal of it.

The reciprocal of 2/5 is just the opposite of it when

you flip it and it's going to be 5/2.

Because we did the opposite there, we need to do the opposite

of division and the opposite of division is multiplication.

So now we have 5/2 × 5/2 which is 25/4 or 6 and 1/4.

6 0
3 years ago
Find the distance between the line 1.2x − 0.5y + 1.1=0 and the origin.
denpristay [2]

Answer:

The answer to your question is: d = 0.85 units

Step-by-step explanation:

Data

Line equation:  1.2 x − 0.5 y + 1.1 = 0        A = 1.2; B = -0.5; C = 1.1

Point (0, 0)                                                  x = 0; y = 0

Formula

d = | Ax + By + C | / √(A² + B²)

Process

d = |(1.2)(0) + (-0.5)(0) + 1.1 | / √ (1.2)² + (0.5)²

d = | 1.1 | / √ 1.44 + 0.25

d = 1.1 / √ 1.69

d = 1.1 / 1.3

d = 0.85 units

7 0
3 years ago
What's The Answer??????????????????
Yuri [45]
f(x) =  \dfrac{x}{2} - 2

g(x) = 2x^2 + x - 3

(f + g)(x) =  \dfrac{x}{2} - 2+ 2x^2 + x - 3

(f + g)(x) = 2x^2 + \dfrac{3}{2}x - 5
7 0
3 years ago
Can somebody help solve it?
Oksanka [162]

Answer:

Step-by-step explanation:

It's an isosceles triangle so it means two sides are equal or better term congruent .

So PR is equal to PQ

You can write

X+1=2x+1

Solve the equation

2x+1-x-1=0

X=0

In order to find PQ plug X in place of 2x+1

To find

QR do the same for its expression .

4 0
3 years ago
How much yard does she need
77julia77 [94]
Just add 15 for times

15+15+15+15 = 60

6 0
3 years ago
Read 2 more answers
Other questions:
  • Marvin wrote a check of $58.25 for the water bill and $450 for rent. He also made a deposit of $124.16. In which section of the
    5·1 answer
  • Which answer choice is equal to −(2÷3)?
    11·2 answers
  • Trig please help
    10·2 answers
  • What is the sum of 85/100
    13·2 answers
  • How many more hostel rooms have 4 to 7 guests than 20 to 23 guests?
    12·1 answer
  • 1.Pada sebuah transformator terdapat jumlah kumparan primer 1200 lilitan. Jika Tegangan Primernya 220 V, Tegangan Sekundernya 44
    11·1 answer
  • Which relation is not a function?
    8·1 answer
  • Solve the inequality -10w _< 20
    5·1 answer
  • Keith receives $25000 salary for working as a account. If keith spends 40% of his salary on expenses each year, then how much mo
    10·2 answers
  • Will someone, please help solve this equation?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!