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mariarad [96]
2 years ago
12

Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3

. 5 hours and charged her $159 for parts. The total was $456. 50. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
SAT
1 answer:
Oxana [17]2 years ago
3 0
Answer
x = 59.5
Explanation
Based on the given conditions, formulate:
Rearrange unknown terms to the left side of the equation:
Calculate the sum or difference:
Divide both sides of the equation by the coefficient of variable:
Calculate the product or quotient x = :59.5
Answer x = 59.5
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Determine whether or not the vector field is conservative. If it is conservative, find a function f such that f = ∇f. (if the ve
Arisa [49]

If F(x, y, z) = i + sin(z) j + y cos(z) k is conservative, then there exists a scalar function f(x, y, z) such that grad(f) = F, which means

∂f/∂x = 1

∂f/∂y = sin(z)

∂f/∂z = y cos(z)

Integrating each each of these equations gives

∫ ∂f/∂x dx = ∫ dx   ⇒   f(x, y, z) = x + α(y, z)

∫ ∂f/∂y dy = ∫ sin(z) dy   ⇒   f(x, y, z) = y sin(z) + β(x, z)

∫ ∂f/∂z dx = ∫ y cos(z) dz   ⇒   f(x, y, z) = y sin(z) + γ(x, y)

It follows that α(y, z) = y sin(z) and β(x, z) + γ(x, y) = x + C where C is a constant. So

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6 0
2 years ago
What mass of glucose (C6H12O6) should be dissolved in 12. 0 kg of water to obtain a solution with a freezing point of -5. 8 ∘C?.
bogdanovich [222]

The mass of glucose solute dissolved in the solution is 6.739 Kg.

Recall that;

ΔT = K m i

ΔT = Freezing point depression

K =Freezing point depression constant = 1.86°C/mol

m = molality of the solution

i = Van't Hoff factor = 1 (molecular solution)

We have to find the freezing point depression from;

Freezing point depression = Freezing point of pure solvent - Freezing point of solution

Freezing point of pure water = 0°C

Freezing point of solution = -5. 8 ∘C

Freezing point depression = 0°C - (-5. 8 ∘C) = 5. 8 ∘C

Now;

m = ΔT/K i

m = 5. 8 ∘C/ 1.86°C/mol × 1

m = 3.12 m

But molality = number of moles of solute/mass of solvent in Kg

Molar mass of solute = 180 g/mol

Let the mass of solute be m

3.12 = m/180/12

3.12 = m/180 × 12

m = 3.12 × 180 × 12

m = 6739 g or 6.739 Kg

Learn more: brainly.com/question/6249935

8 0
2 years ago
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Answer:

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What is the capital of Europe???????????
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Answer:

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I would expect it to explode.
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