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
atroni [7]
3 years ago
14

Write an equation for the work necessary to stretch the spring from the relaxed state to distance x1

Mathematics
1 answer:
AveGali [126]3 years ago
3 0
The equation stems from the principle concept of Hooke's Law. After derivation, the general equation for finding the work of a stretch spring is written below:

W = k[(x₂ - x₁) + (x₁ - xn)]
where
k is the spring constant
xn is the natural length of the spring
x₁ is the length after stretching
x₂ is the length after stretching even further

Suppose the spring was only stretched once, then x₁ = x₂. The equation is simplified to:
<em>W = k(x₁ - xn)</em>
You might be interested in
What is the solution to 1-(2x+4)=-4x+5
faust18 [17]
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 4
8 0
3 years ago
Read 2 more answers
Three business associates are at their favorite local café for lunch. They have finished their meals and just received their bil
telo118 [61]
Customer #2 has the smallest total bill, including tax and tip.
Choice A, 1.06b + 0.16(1.06b), is correct.
Customer 3's bill is approximately 10% less than customer 1's bill.
Customer 2 leaves the bigger tip.

For customer #1:
(1.06(12.95))(1.15) = 15.79; the tip is 0.15(1.06(12.95)) = 2.06.
For customer #2:
1.06x = 11.65; x = 10.99; 20% tip = 0.2(10.99) = 2.20; total = 11.65+2.20 = 13.85.
For customer #3:
1.06(11.50) + 0.18(11.50) = 14.26; the tip is (0.18)(11.50) = 2.07.

Customer 3 spends 15.79-14.26 = 1.53 less than customer #1, which is 1.53/15.79 = 0.097 ≈ 10% less.
4 0
3 years ago
If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
Graph the line with slope −1/2 and y-intercept −5.
Allushta [10]

First, we can write the equation of the line using the information provided:

\begin{gathered} y=mx+b \\ where: \\ m=slope=-\frac{1}{2} \\ b=y-intercept=-5 \\ so: \\ y=-\frac{1}{2}x-5 \end{gathered}

Now, we can create a table:

Finally, we can graph the line:

5 0
1 year ago
Finsh the lyric: Time to go the distance
igomit [66]
I believe I can fly, I believe I can’t touch the sky.
8 0
2 years ago
Read 2 more answers
Other questions:
  • Can someone solve this with explanation?
    7·1 answer
  • Find the area of the triangle. ANSWERS: A) 84 m2 B) 66 m2 C) 42 m2 D) 132 m2
    6·1 answer
  • Write an explicit formula for the sequence and find the 18th term.<br> 12, 3, 3/4....
    5·2 answers
  • PLEASE HELP 10 POINTS!!!
    11·2 answers
  • Write 435,000 in scientific notation
    9·2 answers
  • What is the volume of the prism??
    9·1 answer
  • how do you write y - 2 = -(x - 3) in slope-intercept form? A) y = x + 3 B) y = x - 1 C) y = -x + 5 D) y = -3x - 1
    9·1 answer
  • Help me pleaseeeeeeeeeeee<br> ​
    12·2 answers
  • Casey was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line:
    15·1 answer
  • Xander spends most of his time with his 10 closest friends. he has known 4 of his 10 friends since kindergarten. if he is going
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!