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myrzilka [38]
3 years ago
9

Having trouble with my functions homework plz can someone help

Mathematics
1 answer:
puteri [66]3 years ago
4 0

Answer:

g(x) =  \frac{ - 19}{3} x  \:  + 2

I hope that is right

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A cylindrical 2014-t6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tes
Pani-rosa [81]

Complete part of Question:

Assume a factor of safety of 3.0

The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution

Answer:

The maximum allowable load amplitude is 6403.33 N

Step-by-step explanation:

diameter of the bar, d = 12 mm

d = 0.012 m

Cross sectional area of the bar, A = πd²/4

A = π*0.012²/4

A = 0.000113 m²

From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;

At 10⁷ cycles, Maximum stress, S = 170 MPa

S = 170 * 10⁶ Pa

Factor of safety, N = 3.0

The tensile stress is given by the formula:

\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}

The tensile stress is also given by:

\sigma = F/A\\\sigma = F/0.000113

F/0.000113 = 56.67 * 10⁶

F = 56.67 * 10⁶ * 0.000113

F = 6403.33 N

The maximum allowable load amplitude is 6403.33 N

3 0
3 years ago
Read 2 more answers
30% of students at Greenville High School participate in a sport. There are 540 students in the school. How many students in the
ivanzaharov [21]

Answer:

162 student play sports

Step-by-step explanation:

.3 represents 30 precent, so multiply 540 by .3 to get your awnser this is because the .3 is less than one so the multiplying will not raise the number but lower it to 162

6 0
2 years ago
What phrase describes the algebraic expression 3x - 4?
mixas84 [53]

A man is jogging up a hill at 3 ft per second and then stumbles back 4 feet.

5 0
3 years ago
Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)
Free_Kalibri [48]

Answer:

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = \frac{2}{14}

p = \frac{1}{7}

Therefore, equation will be,

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

5 0
3 years ago
What is the circumference of a circle whose radius is 20 feet? Leave answer in terms of π.
lesantik [10]

Answer:

What is the circumference of a circle whose radius is 20 feet? Leave answer in terms of π.  

A)  10π feet  

B)  20π feet  

<u> C)  40π feet  </u>

 D)  100π feet

Step-by-step explanation:

circumference = 2πr

circumference=2×π×20

circumference=40π

5 0
3 years ago
Read 2 more answers
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