101
3. Mike solved the following linear system and got
a solution of (-5, 3).
Linear System:
-x+y=8
2x - y = 3
Mike's Work:

like to see step by step work

If you're encountering the message while trying to sign and submit your FAFSA, there are a few things you can try to resolve the issue:

Clear your browser's cache and cookies, and then try to submit the FAFSA again.

Try using a different web browser, or try accessing the FAFSA website from a different device (e.g., a different computer, tablet, or smartphone).

Double-check that you have completed all required fields on the FAFSA form and that you have correctly entered all requested information.

Wait a few hours and try again, as the issue may be temporary and resolved on its own.

Read more about error messages here:

https://brainly.com/question/28501392

#SPJ1

Answer:

Explanation:

To solve this problem, we need to consider the effect of temperature on the measured length, as well as the effect of tape elongation due to the applied tension. The corrected total length can be calculated using the following steps:

Step 1: Find the thermal expansion of the tape at the two temperatures.

The thermal expansion of the tape can be calculated using the formula:

ΔL = αLΔT

where ΔL is the change in length, α is the coefficient of thermal expansion, L is the original length, and ΔT is the change in temperature. We can assume that the change in temperature is the same for the entire tape, so we only need to calculate ΔL for one half of the line. Using the given values, we get:

ΔL = αLΔT

= (12*10^-6 per oc) * (1000 m) * (5/2) * (20-15)

= 0.15 m

So the tape will expand by 0.15 m at a temperature of 20°C.

Similarly, at a temperature of 26°C, we have:

ΔL = αLΔT

= (12*10^-6 per oc) * (1000 m) * (5/2) * (26-15)

= 0.27 m

So the tape will expand by 0.27 m at a temperature of 26°C.

Step 2: Find the elongation of the tape due to the applied tension.

The elongation of the tape due to the applied tension can be calculated using the formula:

ΔL = (F * L) / (E * A)

where ΔL is the change in length, F is the applied force, L is the original length of the tape, E is the Young's modulus of the tape material, and A is the cross-sectional area of the tape. We can assume that the force is the same for the entire tape, so we only need to calculate ΔL for one half of the line. Using the given values, we get:

A = (3 mm) * (1.25 mm)

= 3.75 mm^2

= 0.375 cm^2

ΔL = (F * L) / (E * A)

= (22 kg) * (50 m) / (2.11*10^6 kg/cm^2 * 0.375 cm^2)

= 0.111 m

So the tape will elongate by 0.111 m due to the applied tension.

Step 3: Find the corrected total length.

To find the corrected total length, we need to subtract the thermal expansion of the tape at each temperature and add the elongation due to the applied tension. Since we are measuring only half of the line at each temperature, we need to double the result to get the total length. Using the values calculated in steps 1 and 2, we get:

Corrected length at 20°C = (2000 m / 2) - 0.15 m + 0.111 m

= 995.96 m

Corrected length at 26°C = (2000 m / 2) - 0.27 m + 0.111 m

= 994.84 m

Corrected total length = 2 * (995.96 m + 994.84 m)

= 3981.6 m

Therefore, the corrected total length of the line is approximately 3981.6 meters.

The corrected total length of the line is approximately 2000.07 meters.

A material's response to a change in temperature is measured by a coefficient of thermal expansion, which is frequently denoted by the symbol.

To calculate the corrected total length, we need to consider the effects of tape expansion and temperature on the tape and the measured line. Here are the steps to follow:

Calculate the expansion of the tape due to temperature difference:

The temperature difference between 15°C and 20°C is 5°C, and the temperature difference between 15°C and 26°C is 11°C.

The coefficient of expansion is [tex]12X10^-^6[/tex] per °C.

The length of the tape is 50m, and its width and thickness are 3mm and 1.25mm, respectively.

The expansion of the tape due to the temperature difference is:

ΔL = L₀ * α * ΔT

where L₀ is the initial length of the tape (50m), α is the coefficient of expansion ([tex]12X10^-^6[/tex] per °C), and ΔT is the temperature difference (5°C for the first half and 11°C for the second half).

ΔL1 = 50m x [tex]12X10^-^6[/tex]/°C * 5°C = [tex]310^-^3[/tex] m

ΔL2 = 50m x [tex]12X10^-^6[/tex]/°C * 11°C = [tex]6.610^-^3[/tex] m

Calculate the tension in the tape due to the applied pull:

The weight of the tape is 7.75 g/[tex]cm^3[/tex], and its dimensions are 3mm (width) and 1.25mm (thickness).

The mass of the tape is:

m = ρ x V = 7.75 g/[tex]cm^3[/tex] x 3mm * 1.25mm x 50m = 0.73125 kg

The tension in the tape due to the applied pull of 22kg is:

T = F/A = 22kg x g / (3mm * 50m) = 14.67 N

The stress in the tape is:

σ = T/A = T / (3mm x 1.25mm) = 3.72 x [tex]10^7 N/m^2[/tex]

Calculate the strain in the tape due to the stress:

The Young's modulus of the tape is E = [tex]2.1110^6 kg/cm^2[/tex] = [tex]2.11X10^1^0 N/m^2.[/tex]

The strain in the tape is:

ε = σ / E = [tex]3.72X10^7[/tex]N/[tex]m^2[/tex] / [tex]2.11X10^1^0 N/m^2[/tex] = [tex]1.76X10^-^3[/tex]

The elongation of the tape due to the strain is:

δL = L₀ * ε = 50m x 1.76 x [tex]10^-^3[/tex] = 0.088 m

Calculate the corrected length of the line:

The length of the line measured with the tape is 2 km = 2000 m.

Now, let's calculate the corrected total length of the line. The original measured length of the line is 2 km, or 2000 m. Therefore, the corrected total length of the line is:

Lc = 2000 m + ΔL1 + ΔL2 + ε1L1 + ε2L2

Lc = 2000 m + 0.009 m + 0.0198 m + 0.00340 * 1025 m + 0.00340 * 1025 m

Lc = 2000.0686 m

Thus, the corrected total length of the line is approximately 2000.07 meters.

For more details regarding coefficient of expansion, visit:

https://brainly.com/question/14780533

#SPJ1

Answer:

Explanation:

To add two rational expressions with unlike denominators, you need to first find a common denominator and then add the numerators.

The common denominator for the two given rational expressions is 4x^2 + 25x - 21.

The first expression can be written as (x - 5)/(4x^2 + 25x - 21), and the second expression as (4x^2 + 15x + 9)/(4x^2 + 25x - 21).

To find the numerators for these rational expressions, we multiply each fraction by the common denominator. We get:

x - 5 = (x - 5) * (4x^2 + 25x - 21) / (4x^2 + 25x - 21) = 4x^3 + 20x^2 - 4x - 105

and

4x^2 + 15x + 9 = (4x^2 + 15x + 9) * (4x^2 + 25x - 21) / (4x^2 + 25x - 21) = 4x^3 + 34x^2 + 6x + 189.

Now that we have the numerators, we can add the two rational expressions to get the result:

x - 5/4x^2 - 25x - 21 + 4x^2 + 15x + 9 = 4x^3 + 54x^2 + 2x + 84 / (4x^2 + 25x - 21)

Answer:

Energy is used to power the "night mail" is not specified in the works of J.R.R. Tolkien, who was the author of "The Lord of the Rings" and "The Hobbit." The "night mail" is a reference to a postal service that delivers letters and packages at night, as described in the poem "Night Mail" by W. H. Auden. However, there is no information available about what energy source was used to power this service.

The player with the most attempted goals is Alex Morgan.

The number listed in the "GAS" column is the number of goals attempted by each player in the 2021 season.

To determine which player attempted to make the most goals, we would need to divide the number of goals attempted by the number of games played to find the average number of goals attempted per game.

For example, let's consider Alex Morgan:

GAS: 5

Games Played: 2

Average Goals Attempted per Game = GAS ÷ Games Played = 5 ÷ 2 = 2.5

let's perform the calculation for each player:

Based on these calculations, Alex Morgan attempted to make the most goals, with an average of 2.5 goals attempted per game.

Read more about statistics here:

https://brainly.com/question/15525560

#SPJ1

Answer:

1:true, and its a sign of Jesus saving us sinners.

2:true

3:false, you shouldn't correct sinners, its like saying; you just sinned, let me tell you what you did wrong.

4:true very true

5:true, you gave them a home they needed when they were desperate.

6:false

7:true

Explanation:

If I'm wrong I'm sorry. I hope I helped...

The value of y from the given equation is 26.

We can substitute the second equation into the first equation to solve for y. Doing so, we get:

Now that we have x = 9, we can substitute it into either of the equations to find y. Let's use the second equation:

So the value of y is 26 if (x, y) satisfies the given system of equations.

Read more about math equations here:

https://brainly.com/question/22688504

#SPJ1