Answer:
k = -4
Step-by-step explanation:
-4k + 2(5k − 6) = −3k – 48
Distribute on the left side.
-4k + 10k - 12 = -3k - 48
Combine like terms on the left side.
6k - 12 = -3k - 48
Add 3k to both sides.
9k - 12 = -48
Add 12 to both sides.
9k = -36
Divide both sides by 9.
k = -4
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has no antiderivative in terms of elementary functions (polynomials, exponentials, logarithms, trigonometric functions, etc), but there is a special function defined to fit that role called the error function,
, where

By the fundamental theorem of calculus, we can see that

which means we have

It will take an object dropped from a height of 50 meters √50/0.82 = 8.62 seconds to land on the moon.