Preston and Joel are both solving the equation 2x=14. Preston is not sure what to do because he does not know a power of 2 that
equals 14. Joel uses his calculator to graph y=2x and y=14 and find the point of intersection. Will Joel's method work?
1 answer:
Answer:
yes
Step-by-step explanation:
You can always separate an equation into two parts and see where those graphs intersect.
Joel's method works well.
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<em>Additional comments</em>
Preston should know that the invention of logarithms makes it easy to solve equations like this. x = log₂(14) = log(14)/log(2) ≈ 3.8073549.
As for Joel's method, I prefer to subtract the right side to get the equation ...
2^x -14 = 0
Then graphing y = 2^x -14, I look for the x-intercept. Most graphing calculators make it easy to find x- and y-intercepts. Not all make it easy to find points of intersection between different curves.
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The answer is 12 J.
The kinetic energy (KE) of an object is expressed as the product of half of the mass (m) of the object and the square of its velocity (v²):
The unit of the kinetic energy is Joules (J = kg · (m/s)²).
It is given:
m = 1.5 kg
v = 4 m/s
It is unknown:
KE = ?
Thus:
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Therefore, the kinetic energy of the bird is 12J.
The kinetic energy (KE) of an object is expressed as the product of half of the mass (m) of the object and the square of its velocity (v²):
The unit of the kinetic energy is Joules (J = kg · (m/s)²).
It is given:
m = 1.5 kg
v = 4 m/s
It is unknown:
KE = ?
Thus:
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Therefore, the kinetic energy of the bird is 12J.