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frozen [14]
3 years ago
12

Solve the system of linear equations by graphing. 2x + 3y = 16.9 5x = y + 7.4

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

the intersecting point of the two lines is (2.2999999,4.1)

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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
2 years ago
Read 2 more answers
Jessica is thinking of a number that rounds to 1,300 for the nearest ten and for the nearest hundred.What number might she be th
Pavel [41]
Hey There!

One of the numbers she might be thinking of could be 1,298, because it rounds to 1,300 in the nearest hundreds, and for the nearest tens. Remember, when a number is greater than 5 you round it to the nearest ten. Same rule applies for the hundreds, but the number has to be in the tens place instead of the ones place.

Have A Brainly Day :)

Send me a message for more help :)
5 0
3 years ago
Giovani solves a system of equations algebrically he concludes that the lines are parallel which could be the final of his solut
kenny6666 [7]

Answer:

If the lines are parallel, final form of his solution is

b) -5 = -5+1

Step-by-step explanation:

As the options are not given in the question and the question is incomplete, lets complete the question first.

Giovani solves a system of linear equations algebrically, he concludes that the lines are parallel. Which could be his final answer.

a) -5 = -5

b) -5 = -5+1

c) 11 = 11

d) 5 = 5

We know that parallel lines never cross at any point, there is no intersection point, which eventually means that there is no solution to the given equations. A system of equations which have no solution is called an inconsistent system of equations, and it graphs the parallel line.

From the options we can clearly see that only (b) has no solution, while all the rest of the options have solutions. Hence, -5 = -5+1 represents parallel lines.

3 0
3 years ago
What are 3 measurements with different units equal 5 m
antoniya [11.8K]
5000 millimeters, 500 centimeters, and .005 kilometers.
4 0
3 years ago
Read 2 more answers
Grocery Mart has cookies on sale for $3.84 for 12 cookies. Food Shoppe has cookies on sale for $5.70 for 19 cookies. Which store
Strike441 [17]

Grocery mart:

12÷$3.84=3.125

Food Shoppe:19÷$5.70=3.333

so grocery mart is cheaper by

0.2075333333

5 0
3 years ago
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