The constant of variation is 1.3 kg per m³
Step-by-step explanation:
Direct variation is when one variable is equal to a constant times
another variable, with no additions or subtractions alongside
If y is directly proportional with x, then
- y ∝ x
- y = k x, where k is the constant of variation
- The graph of the variation is a line passes through the origin
∵ The weight of air is directly proportional to its volume
∴ The weight (w) ∝ the volume (v)
∴ w = k v
∵ w = 13 kg
∵ v = 10 m³
- Substitute these values in the rule of variation above to find k
∴ 13 = k (10)
∴ 13 = 10 k
- Divide both sides by 10
∴ k = 1.3
The constant of variation is 1.3 kg per m³
Learn more:
You can learn more about direct and inverse proportion in brainly.com/question/10708697
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Answer:6
4 multiplied by 6 is 24 so 6 is the answer
<h3>
Answer: 2z^3</h3>
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Explanation:
The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.
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For the variable portions, we can
- write z^5 as z^3*z^2
- write z^4 as z^3*z^1
- write z^3 as z^3*1
Each time we see z^3 show up, so this is the largest common factor among the three variable terms.
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The two results we got were 2 and z^3
Putting the two results together, we end up with the overall GCF of 2z^3
Percent means parts out of 100 so
125.25%=125.25/100=12.525/10=1.2525/1=1.2525
basically:
percent to decimal: move decimal place 2 places to the left and get rid of percent sign
decimal to percent: move decimal place 2 places to the right and add percent sign at end
fraction to decimal: divide completely
fraction to percent: divide completely then convert to percent
the answer is 1.2525
Answer:
Step-by-step explanation:
we know that
To find out the mean change of altitude, divide the total change by the amount of time it takes
so
---> is negative because the airplane is descending
