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
natka813 [3]
2 years ago
12

The expression 16x2 + 4x + 125 represents the height, in feet, of a rock, x seconds after being thrown from a cliff. What does t

he 125
represent?
O A. the initial height of the rock
O B. the number of seconds it takes the rock to hit the ground
o C. the number of seconds it takes the rock to reach its maximum height
D. the maximum height of the rock
Mathematics
1 answer:
xeze [42]2 years ago
4 0

The motion of the rock thrown from the cliff which goes downwards due to

the gravitational force, is a free fall motion.

  • 125 represents; <u>A. The initial height of the rock</u>.

Reasons:

The given function that represents the height of the of the rock in feet <em>x</em> seconds after being thrown is; f(x) = 16·x² + 4·x + 125

At the initial height before being thrown from the cliff, we have;

The time, x = 0

The initial height is therefore;

The initial height f(0) = 16 × (0)² + 4 × (0) + 125 = 125

125 represents <u>A. The initial height of the rock</u>

Learn more about motion under gravity here:

brainly.com/question/7596138

You might be interested in
A line passes through the point , 9,−2 and has a slope of 4/3. Write an equation in point-slope form for this line.
Fynjy0 [20]

Answer:

y + 2 = \frac{4}{3} (x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{4}{3} and (a, b) = (9, - 2) , thus

y - (- 2) = \frac{4}{3} (x - 9) , that is

y + 2 = \frac{4}{3} (x - 9)

4 0
2 years ago
Read 2 more answers
Which equation demonstrates the distributive property?
horrorfan [7]

Answer:

B) 36 + 9 = 3(12 + 3)

Step-by-step explanation:

The distributive property of multiplication over addition is:

a(b + c) = ab + ac

This is demonstrated by switching the sides of option B) 36 + 9 = 3(12 + 3)

6 0
3 years ago
Read 2 more answers
Which expression shows the length, BC, of the base of the stand?
kicyunya [14]

Answer:

b 233 7 in

Step-by-step explanation:

8 0
3 years ago
A mass of 3.25 kg is attached to the end of a spring that is stretched 22 cm by a force of 15 N. It is set in motion with an ini
mylen [45]

Answer:

Step-by-step explanation:

Given that,

Mass of object=3.25kg

The extension e=22cm=0.22m

Force applied to cause extension F=15N

Initial position Xo=0

Initial velocity Vo=-12m/s

We can get the spring constant from Hooke's law

F=ke

Then, k=F/e

k=15/0.22

k=68.182N/m

Also our natural frequency w is given as

w=√(k/m)

Therefore,

w=√(68.182/3.24)

w=√20.98

w=√21

w=4.58rad/s

w=4.6rad/s

There is no damping in this situation, no outside force acting on the system and the equation that governs the system is

mx''+kx=0

3.25x''+68.182x=0

Divide through by 3.25

x''+20.98x=0

We can approximate 20.98 to 21

x"+21x=0

The solution to this differential equation using D operator

D²+21=0

D²=-21

D= ±√-21

D=±√21 •i

Then the solution is

x(t)=A•Sinwt +B•Coswt

x(t)=A•Sin√21 t +B•Cos√21 t

Note that x'(t)=v(t)

and at t=0 Vo=-12m/s

x(t)=A•Sin√21 t +B•Cos√21 t

x'(t)=v(t)=A√21•Cos√21 t - B√21•Sin√21 t

v(t)=A√21•Cos√21 t - B√21•Sin√21 t

Then, using the two initial conditions

v(0)=-12

And X(0)=0

x(t)=A•Sin√21 t +B•Cos√21 t

X(0)=A•Sin√21•0 +B•Cos√21•0

X(0)=A•Sin0+B•Cos0

0=B

B=0

Also,, V(0)=-12m/s

v(t)=A√21•Cos√21 t - B√21•Sin√21 t

V(0)=A√21•Cos√21•0- B√21•Sin√21•0

V(0)=A√21•Cos0- B√21•Sin0

-12=A√21

Therefore,

A=-12/√21

A=-2.62

Therefore the general equation becomes

x(t)=A•Sin√21 t +B•Cos√21 t

x(t)=-2.62Sin√21 t +0•Cos√21 t

x(t)=-2.62Sin√21 t

a. The amplitude

Comparing x(t) to wave equations

x(t)=-Asin(wt+2λ/t)

Then,

A=2.62m

b. We know the natural frequency already to be

w=√21

w=4.58rad/s

c. Period

Comparing the equation again

wt=√21t

Given that w=2πf

Therefore, 2πft=√21t

Then, f=√21t / 2πt

f=√21/2π

f=0.73Hz

Then, period is the reciprocal of frequency

T=1/f

T=1/0.73

T=1.37seconds

The period is 1.37sec,

5 0
3 years ago
Which statement is true about the potential<br> solution x = -5?
Vlad1618 [11]

Answer:

The answer to this question is d

4 0
3 years ago
Read 2 more answers
Other questions:
  • Really need help with this one!!
    6·2 answers
  • The table shows the lowest elevations for several states. Is the absolute value of the lowest elevation of California greater th
    11·2 answers
  • Whic of these is the same as 3/5 divided by 4/7
    13·1 answer
  • Pleaseee help!!!!!!!!!!!!
    5·1 answer
  • Vocabulary// the ____ states that any # plus it's opposite equals zero
    13·1 answer
  • 2/5 of 25 can someone help I’m not the best at math
    7·2 answers
  • During the school week, joshua spent 3$ each day in lunch.On tuesday,he bought a 5$ ticket to the school and on friday he loaned
    5·1 answer
  • A 7 character computer password is made up of 3 letters followed by 4 numbers. How many different passwords are possible?
    10·1 answer
  • Plzzzzzzzzzzzzzzzzzzzz helppppppppppppppp SHOW YOUR WORK<br><br> 12 dived 1 1/2
    9·1 answer
  • A map's scale is 1 inch : 2.4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!