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
OlgaM077 [116]
1 year ago
7

The results of a test of a metal are shown in the table, with strain in meters per meter, andstress in units called megapascals,

or MPa. Stress is a measure of how much force is applied tothe metal, and strain is a measure of how far the metal bends under that force.a. Make a graph of the data with strain on the horizontal axis.b. Hooke's law states that stress is directly proportional to strain. Does the metal obey Hooke'slaw for in any part of its domain? Explain your reasoning.c. Write a function that models this material over the domain you found in part b.d. The ultimate tensile strength is the maximum value on the stress-strain curve. What are thestress and strain values for this material's ultimate tensile strength?

Mathematics
1 answer:
shusha [124]1 year ago
8 0

a.

b.

The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.

c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

m=\frac{100}{0.01}=10000

Now, calculating the coefficient b (y-intercept), we have:

\begin{gathered} (0.01,100)\colon \\ 100=0.01\cdot10000+b \\ 100=100+b \\ b=0 \end{gathered}

So the equation is:

y=10000x

d.

The maximum value of stress is 560, and occurs at strain = 0.07.

You might be interested in
Which number sentence shows the correct placement of the decimal point in the product based on the two factors A: 3.48 x 42.37 =
Rzqust [24]

Answer:

A

Step-by-step explanation:

Add the number of decimal places of the two numbers being multiplied to know the number of decimal places of the product.

A: 3.48 x 42.37 = 147.4476

2 decimal places + 2 decimal places = 4 decimal places

Only choice A is correct.

3 0
3 years ago
Are Transformations used to create Similar Figures EXPLAIN
kotykmax [81]

Answer:

sometimes

Step-by-step explanation:

Similar figures can also be a different size, as long as they're the same shape. So both rigid transformations and dilations can create similar figures.

8 0
3 years ago
Subtact: (3x + 4) - (x + 2)​
stiv31 [10]
Ok this is the answer to this question 2(x+1)
8 0
3 years ago
Read 2 more answers
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche
Amiraneli [1.4K]

<u>Answer</u>

The first student was right.

The length of the long side is at least 13 inches.

<u>Explanation</u>

The perimeter of any figure is the distance all round.

Perimeter of a rectangle = 2(l+w). Where l is length and w is the width.

2(l + w) ≥ 30

2{(x-3) + 2} ≥ 30

2(x-3+2) = 30

2(x - 1) ≥ 30

x - 1 ≥ 15

x ≥ 16

When x = 16,

l = 16-3

  = 13 inches

The length of the long side is 13 inches. The first student was right.

8 0
3 years ago
Read 2 more answers
If g(x) = 3 - 2x find, g(-1)​
pogonyaev

Steps to solve:

g(x) = 3 - 2x when g(-1)

~Substitute

g(-1) = 3 - 2(-1)

~Simplify

g(-1) = 3 - (-2)

~Simplify

g(-1) = 3 + 2

~Add

g(-1) = 5

Best of Luck!

3 0
4 years ago
Other questions:
  • 4,500 ft/h=________ft/s<br> HELP I WILL MARK AS BRAINLIEST PLEASE HELP DUE TOMORROW
    9·1 answer
  • Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm.
    6·1 answer
  • How many number lines comprise the basic parts of a cartesian coordinate system?
    12·2 answers
  • How wide is a rectangular strip of land with the length 3/4 mile and area 1/2 square mile?
    8·2 answers
  • Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. A 6% tax is added by the waitress. If Mrs. Rodriguez wants to l
    12·2 answers
  • Solve 2a − 5d = 30 for d
    11·2 answers
  • 2 exponent 5 + 4 • 4 =
    6·1 answer
  • A polynomial function has – 5+ 3t as a root. Which of the following must also be a root of the function?
    7·1 answer
  • Does this table represent a function? why or why not x:2,2,3,4,5 y:1,4,4,2,5
    10·1 answer
  • Solve: −4b+4b≥6(−5b+7)−3(b+3)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!