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
geniusboy [140]
2 years ago
8

PLEASE HELP! GIVING BRAINLIEST!

Mathematics
1 answer:
rjkz [21]2 years ago
7 0

Answer:

Look down.

Step-by-step explanation:

1. x= 10

2. x= 7

3. d= -15/7

4. y= 6/23

5. x= 24

6. y= -7

7. x= -110

8. x= 20/6 or 10/3

You might be interested in
A mass weighing 16 pounds stretches a spring (8/3) feet. The mass is initially released from rest from a point 2 feet below the
mezya [45]

Answer with Step-by-step explanation:

Let a mass weighing 16 pounds stretches a spring \frac{8}{3} feet.

Mass=m=\frac{W}{g}

Mass=m=\frac{16}{32}

g=32 ft/s^2

Mass,m=\frac{1}{2} Slug

By hook's law

w=kx

16=\frac{8}{3} k

k=\frac{16\times 3}{8}=6 lb/ft

f(t)=10cos(3t)

A damping force is numerically equal to 1/2 the instantaneous velocity

\beta=\frac{1}{2}

Equation of motion :

m\frac{d^2x}{dt^2}=-kx-\beta \frac{dx}{dt}+f(t)

Using this equation

\frac{1}{2}\frac{d^2x}{dt^2}=-6x-\frac{1}{2}\frac{dx}{dt}+10cos(3t)

\frac{1}{2}\frac{d^2x}{dt^2}+\frac{1}{2}\frac{dx}{dt}+6x=10cos(3t)

\frac{d^2x}{dt^2}+\frac{dx}{dt}+12x=20cos(3t)

Auxillary equation

m^2+m+12=0

m=\frac{-1\pm\sqrt{1-4(1)(12)}}{2}

m=\frac{-1\pmi\sqrt{47}}{2}

m_1=\frac{-1+i\sqrt{47}}{2}

m_2=\frac{-1-i\sqrt{47}}{2}

Complementary function

e^{\frac{-t}{2}}(c_1cos\frac{\sqrt{47}}{2}+c_2sin\frac{\sqrt{47}}{2})

To find the particular solution using undetermined coefficient method

x_p(t)=Acos(3t)+Bsin(3t)

x'_p(t)=-3Asin(3t)+3Bcos(3t)

x''_p(t)=-9Acos(3t)-9sin(3t)

This solution satisfied the equation therefore, substitute the values in the differential equation

-9Acos(3t)-9Bsin(3t)-3Asin(3t)+3Bcos(3t)+12(Acos(3t)+Bsin(3t))=20cos(3t)

(3B+3A)cos(3t)+(3B-3A)sin(3t)=20cso(3t)

Comparing on both sides

3B+3A=20

3B-3A=0

Adding both equation then, we get

6B=20

B=\frac{20}{6}=\frac{10}{3}

Substitute the value of B in any equation

3A+10=20

3A=20-10=10

A=\frac{10}{3}

Particular solution, x_p(t)=\frac{10}{3}cos(3t)+\frac{10}{3}sin(3t)

Now, the general solution

x(t)=e^{-\frac{t}{2}}(c_1cos(\frac{\sqrt{47}t}{2})+c_2sin(\frac{\sqrt{47}t}{2})+\frac{10}{3}cos(3t)+\frac{10}{3}sin(3t)

From initial condition

x(0)=2 ft

x'(0)=0

Substitute the values t=0 and x(0)=2

2=c_1+\frac{10}{3}

2-\frac{10}{3}=c_1

c_1=\frac{-4}{3}

x'(t)=-\frac{1}{2}e^{-\frac{t}{2}}(c_1cos(\frac{\sqrt{47}t}{2})+c_2sin(\frac{\sqrt{47}t}{2})+e^{-\frac{t}{2}}(-c_1\frac{\sqrt{47}}{2}sin(\frac{\sqrt{47}t}{2})+\frac{\sqrt{47}}{2}c_2cos(\frac{\sqrt{47}t}{2})-10sin(3t)+10cos(3t)

Substitute x'(0)=0

0=-\frac{1}{2}\times c_1+10+\frac{\sqrt{47}}{2}c_2

\frac{\sqrt{47}}{2}c_2-\frac{1}{2}\times \frac{-4}{3}+10=0

\frac{\sqrt{47}}{2}c_2=-\frac{2}{3}-10=-\frac{32}{3}

c_2==-\frac{64}{3\sqrt{47}}

Substitute the values then we get

x(t)=e^{-\frac{t}{2}}(-\frac{4}{3}cos(\frac{\sqrt{47}t}{2})-\frac{64}{3\sqrt{47}}sin(\frac{\sqrt{47}t}{2})+\frac{10}{3}cos(3t)+\frac{10}{3}sin(3t)

8 0
3 years ago
! HELP PLEASE !
EastWind [94]

Answer:

use a calulator it can help

Step-by-step explanation:

.

3 0
2 years ago
Read 2 more answers
10 POINTS PLS ANSWER
Marina CMI [18]

Answer:

x=15

Step-by-step explanation:

x+165degrees=180degrees

x=180-165

x=15

6 0
3 years ago
Solve for x. 8^(x+3)=32
Damm [24]

Answer:

x = -4/3

Step-by-step explanation:

8^(x+3)=32

2^3 = 8

2^5 = 32

3( x + 3 ) = 5

3x + 9 = 5

3x = -4

x = -4/3

Tell me if I am wrong.

Can I get brainliest

4 0
3 years ago
Read 2 more answers
Please answer all questions i will give brainliest
jarptica [38.1K]

Answer:

Answers for 1-126

Step-by-step explanation:

a. x + 8 = 21

-8 -8

x = 13

b. x - 32 = 55

+32. +32

x = 87

c. 3x = 54

÷3. ÷3

x = 18

d. x/5 = 10

×5. ×5

x = 50

Answer for 1-124

1/5 = 2/10 , so 2 of the 10 colors are blue and 3 of the 10 colors are green.

The probability is 5/10 = 1/2

this is all I could do. sorry

4 0
2 years ago
Read 2 more answers
Other questions:
  • Rise is the horizontal change between any two points on the line true or false
    11·2 answers
  • Which inequality is shown in the graph below
    11·1 answer
  • There are 3 counselors assigned to a group of 24 campers at this rate how many counselors are needs for 40 campers ?
    11·1 answer
  • Which of these is most likely a pair of independent and dependent variables?
    5·1 answer
  • the art club had an election to select a president. 14 out of the 35 members of the art club voted in the election. what percent
    9·1 answer
  • Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?
    10·2 answers
  • I will mark you brainiest if you can answer this
    8·2 answers
  • Jake and his friends went to the Dye Storm paint-tag course to celebrate the end of the school semester. The course charges $36
    12·1 answer
  • Hellppp meeeeeee PLEASEEEEE::::
    12·2 answers
  • 100 Points!!!! Please HELP!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!