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
jek_recluse [69]
2 years ago
7

A variable force of 3x−2 pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done

in moving the object from x = 1 ft to x = 10 ft. (Round your answer to two decimal places.)
Mathematics
1 answer:
Verdich [7]2 years ago
8 0

Answer:

2.70J.

Step-by-step explanation:

We have been given that a variable force of 3x^{-2} pounds moves an object along a straight line when it is x feet from the origin.  We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.

We know that dW=Fdx, where F represents force.

dW=3x^{-2}dx

Now, we will integrate both sides of equation as:

\int\limits{dw} =\int\limits^{10}_1 {3x^{-2} \, dx

Take the constant out:

\int\limits{1dw} =3\int\limits^{10}_1 {x^{-2} \, dx

w =3\int\limits^{10}_1 {x^{-2} \, dx

Upon applying power rule of integrals, we will get:

w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1

w =3[ \frac{x^{-1}}{-1} ]^{10}_1

w =3[ -\frac{1}{x} ]^{10}_1

w =3[ -\frac{1}{10} -(-\frac{1}{1})]

w =3[ -\frac{1}{10}+\frac{10}{10})]

w =3[\frac{9}{10}]

w=2.70

Therefore, the work done by the object is 2.70J.

You might be interested in
Which expression is equivalent to x + y + x + y + 3(y + 5)? 2x + 5y + 5 2x + y + 30 2x + 5y + 15 2x + 3y + 10 NextReset
jolli1 [7]
<span>Which expression is equivalent to x + y + x + y + 3(y + 5)? 2x + 5y + 5 2x + y + 30 2x + 5y + 15 2x + 3y + 10 

</span>x + y + x + y + 3(y + 5)=  \\  \\ x+y+x+y+3y+15=   \boxed{ 2x+5y+15 }<span>
</span>
7 0
2 years ago
Read 2 more answers
What is the equation of the line passing through the points (4, -7.5) and (6, -3.5) in slope-intercept form?
Ratling [72]

Answer:

Your answer will be

y=2x-15.5

Step-by-step explanation:

Hi, there you must know the slope-intercept form which is

y=mx+b

m=slope

b=y-intercept

You can also use

the slope formula which is

\frac{y_2-y_1}{x_2-x_1}

in this case

it will look like this

\frac{-7.5-(-3.5)}{6-4}=\frac{-4}{2}=-2

So the slope is -2

Now we will find the y-intercept

-7.5=2(4)+b

-7.5=8+b   Subtract 8 both sides

-15.5=b

Your y-intercept is -15.5

Hope this helps

6 0
2 years ago
Which graph best represents the solution of the inequality y &lt; |x + 2| – 1?
ollegr [7]

Answer:

Step-by-step explanation:

4 0
2 years ago
Step by step what is 3 (x+2)+5x
lesya692 [45]

Answer:

8x+6

Step-by-step explanation:

To simplify it, the first thing you want to do is distribute the three.


So

3(x+2) = 3x+6,

So we can then add the 5x to it.

3x+6+5x

Then, Combine Like Terms

8x+6

6 0
3 years ago
What is the principle value of sin^-1(1)
Scilla [17]

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The principal value of sin⁻¹(1) is 90°.

<h3>What is Sine (Sinθ)?</h3>

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The principal value of sin⁻¹(1) is,

θ = Sin⁻¹(1)

θ = 90°

Hence, the principal value of sin⁻¹(1) is 90°.

Learn more about Sine:

brainly.com/question/21286835

#SPJ1

4 0
1 year ago
Other questions:
  • a construction crew built 4 1/2 miles of Road and 3 3/8 days. What is the unit rate in miles per day? Write your answer as a fra
    6·1 answer
  • This number represents the equal number of parts that equal a whole fraction
    15·1 answer
  • What would be the value of $150 after eight years if you earn 12 %interest per year
    12·2 answers
  • EXTRA POINTS!NNeed help with Algebra 1 question soon please!
    11·1 answer
  • Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the lar
    15·1 answer
  • Find the slope of the line that contains the points (1, 6) and (10, -9)
    6·1 answer
  • Which of the following is the solution to the inequality?
    10·1 answer
  • Think! *
    15·1 answer
  • Can some pls help me with this problem?
    6·1 answer
  • How many 1/5's are in 7 wholes?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!