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25.11.2019 •
Mathematics
Aparachutist's rate during a free fall reaches 45 meters per second. what is this rate in feet per second? at this rate, how many feet will the parachutist fall during 15 seconds of free fall? in your computations, assume that 1 meter is equal to 3.3 feet. do not round your answers.
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Ответ:
X
1 second3.3 feet
198
meters per second
3.3
60 meters per secondANSWER
60 m/sec X 15 sec = 900 feetANSWER
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A PRESENT FOR YOU
Ask someone to write a number, say a five-digit number.
(Can be a 2-digit3-digit4-digitect
Suppose the number written is
57836
Now, without showing the asker, you write a number on
a sheet of paper and keep it folded. You have to write the
number by subtracting 2 from the above number and
adding 2 in front which will be
257834
Next, ask the person to write another five-digit number
below his original number. Suppose he writes 37589.
So you now have...
57836
37589
Now you write a five-digit number below it in such a
way that each digit is 9 minus digit above. You now have...
57836
37589
62410
Ask the person to add one more 5-digit number. If he
adds 54732, you add below it 45267. Note that you decided
the number by subtracting each of his digit from 9.
Thus, you now have
57836
37589
62410
54732
45267
Next, ask him to add all the number and he gets 257834
Show him the number which you had written as an answer
to this addition earlier in the folded paper and surprise him.
Ответ:
(x^3 - 2x^2 + 6x + 3)/(x-3)
= (x^3 - 3x^2 + (x^2 - 6x + 9)+ 12x - 6)/(x-3)
= (x^2(x-3) + (x-3)^2 + 6(2x - 1))/x-3
= x^2 + x - 3 + 6(2x - 1)/(x-3)
or
= x^2 + x - 3 remainder 12x - 6
or, in the form p(x) = q(x)d(x) + r(x):
(x^3 - 2x^2 + 6x + 3) = (x^2 + x - 3)(x - 3) + (12x - 6)
which implies that the quotient q(x) = (x^2 + x - 3) and remainder r(x) = 12x - 6