Answer:
The first equation should be multiplied by 9 and the second equation by −4
Step-by-step explanation:
Given the simultaneous equation
First Equation: 5x − 4y = 28
Second equation: 3x - 9y = 30
In order to eliminate y, we must make the coefficient of x in both expression to be equal.
To do that the first equation should be multiplied by 9 (negative value of the coefficient of y in equation 2)and the second equation by -4( (coefficient of y in equation 1)
The series is a convergence series and the sum of the series is -8/3
<h3>The type of the series</h3>
The series is given as:
The above series has the following properties:
- First term; a = -4
- Common ratio, r = -1/2
Start by calculating the absolute value of the common ratio
Absolute value = |-1/2|
This gives
Absolute value = 1/2
The above value is less than 1.
It means that the series converges.
<h3>The sum of the series</h3>
This is calculated using:
So, we have:
Evaluate the sum
Evaluate the quotient
Hence, the sum of the series is -8/3
Read more about geometric series at:
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B
2x^2 / 2 = 200/2
x^2 = 100
x = +/- 10 Answer
The enthalpy change (ΔH) for the reaction given the data from the question is –900.8 KJ
<h3>Data obtained from the question</h3>
- 4NH₃ + 5O₂ —> 6H₂O + 4NO
- Enthalpy of ammonia, NH₃ = –46.2 KJ
- Enthalpy of Oxygen = 0 KJ
- Enthalpy of water, H₂O = –241.8 KJ
- Enthalpy of nitric oxide, NO = 91.3 KJ
- Enthalpy change (ΔH) =?
<h3>How to determine the enthalpy change</h3>
ΔHrxn = ∑ΔH(products) - ∑ΔH(reactants)
ΔHrxn = ∑[H(H₂O) + H(NO)] - ∑[H(NH₃) + H(O₂)]
ΔHrxn = [(6 × –241.8) + (4 × 91.3)] – [(4 × –46.2) + (5×0)]
ΔHrxn = –1085.6 + 184.8
ΔHrxn = –900.8 KJ
Learn more about enthalpy change:
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Answer:
This graph does not show a function.
Step-by-step explanation:
The line isn't moving in a constant increase or decrease.
