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
Phantasy [73]
3 years ago
10

What is the solution to n over 4 equals -12.4

Mathematics
1 answer:
zepelin [54]3 years ago
5 0

The solution to this equation is n= -49.6.

n/4=-12.4

n/4*4=-12.4 * 4

n= -49.6

You might be interested in
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
The number of board feet in a 16 foot long tree is approximated by the model F(d) = 0.77d^2 -- 1.32d -- 9.31 where F is the numb
Lubov Fominskaja [6]

we are given

F(d)=0.77d^2-1.32d-9.31

where

F is the number of board feet

d is the diameter (in inches) of the log

Since, we have to minimize F

so, firstly we will find it's derivative

F'(d)=0.77\times 2d-1.32\times 1-0

F'(d)=1.54d-1.32

now, we can set it to 0

and then we can solve for d

F'(d)=1.54d-1.32=0

1.54d-1.32=0

so, we get diameter as

d=\frac{6}{7}inch..............Answer

6 0
3 years ago
14 ten thousand + 12 thousand in place value chart
quester [9]
14,0000 srry if it is wrong I am really good at math
6 0
3 years ago
V I’mhjhvcbjvcvjhvvvggujvvcghhhvcccgggghh
Solnce55 [7]

Answer:

the like terms were not grouped together.

4 0
3 years ago
Match the reasons with the statements.
german

Answer:

Concept: Mathematical Derivation

  1. We are given x^2 +6x+2x+12
  2. Hence we simplify: x^2 + 8x +12
  3. Now we factor: (x+2)(x+6)
  4. By mathematical logic we now proved that the roots are x=-2 and x=-6
  5. Give brainlist and rate positively
4 0
2 years ago
Other questions:
  • resha earned $26 babysitting for 4 hours yesterday if she earns the same hourly rate how much will she earn for babysitting for
    7·2 answers
  • Picture Perfect Physician’s has 5 employees. FICA Social Security taxes are 6.2% of the first $118,500 paid to each employee, an
    15·1 answer
  • Jill buys two bracelets for $5 each and a party dress for $150. She also spends $40 on a pair of shoes.
    14·1 answer
  • If 4700 bricks each of size 25 cm x 16 cm x 10 cm are required to construct a wall
    10·1 answer
  • Determine which ordered pair is a solution of y = x to the power of 2, minus 2. Choices: (5,21), (-5, 24), (-1, -1), (-2, 6)
    9·2 answers
  • Which expressions are equivalent to 0.75(4h - 6)
    14·1 answer
  • An item cost $420 before tax, and the sales tax is $33.60. Find the sales tax
    6·1 answer
  • 2) 3x – 8x + 10x ???????????????????????
    14·2 answers
  • PLEASE PLEASE ANSWER ASAP
    14·1 answer
  • Find the value of X
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!