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laila [671]
4 years ago
5

If it takes 125 joules to heat a piece of gold weighing 35 g from 18.0 °C to 43.0 °C, what is the specific heat of the gold?

Mathematics
1 answer:
kari74 [83]4 years ago
3 0
The specific heat of the gold is 1.67 (=125/(3*(43-18)) joule/ gram oC based on its heat energy, change in temperature and mass. This problem can be solved using the heat energy formula which stated as Q=c*m*(deltaT). In this formula, Q is the heat energy, c is the specific heat, m is the object's mass, and deltaT is the change in the temperature of the reaction<span>.</span>
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Find the equation of the lines perpendicular and parallel to 2x-3y=8 line through the point (-2,-4)
marysya [2.9K]

Answer:

y= -1.5x-7 is the equation of the perpendicular line

Here's why:

when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.

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This is where you give up
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If the dimensions of a triangle are cut in half, then the new perimeter is one fourth of the original perimeter. TrueFalse
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4 years ago
currently, the US interest rate is at 2% annually. how long it will take an investor to make 10% of money from an investment if
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3 years ago
A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an
Anestetic [448]

Answer:

The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.

Step-by-step explanation:

Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.

The goal of the environmental initiative is to save at least 25 million hectares of rain forest.

That is:

<em>X</em> + <em>Y</em> = 25....(i)

Now it is provided that:

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  • The cost of purchasing land is $ 260 per hectare.
  • The initiative has a budget of $8,250 million.

Using the above data it can be said that:

400<em>X</em> + 260<em>Y</em> = 8250....(ii)

Solve equations (i) and (ii) simultaneously.

\ \ \ \ x+y=25]\times 260\\400x+260y=8250\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\\Rightarrow\\\\260x+260y=6500\\400x+260y=8250\\(-)\_\_\_\_\_\ (-)\_\_\_\_(-)\_\_\_\\\\\Rightarrow\\\\-140x=-1750\\\\x=\frac{1750}{140}\\\\x=12.5

Then the value of <em>y</em> is:

x+y=25\\y=25-x\\y=25-12.5\\y=12.5

Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.

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3 years ago
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