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il63 [147K]
2 years ago
15

CORRECT ANSWERS ONLY

Mathematics
2 answers:
lions [1.4K]2 years ago
8 0
The answer is C

10 + -32q - 16

-32q - 6
Basile [38]2 years ago
8 0
The answer is C, 10-32y-16
~-32q-6
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A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3 cm. The spring is t
Zielflug [23.3K]

Answer:

Step-by-step explanation:

In this system we have the force of the spring and the gravitational force. The equation that describes that is

F_{s}+F{g}=ma\\k(y_0+y)-mg=ma

where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have

ky_0+ky-mg=ma\\mg+ky-mg=ky=ma\\\\ky=m\frac{d^2y}{dt^2}\\\\my''+ky=0

the solution for this differential equation is (by using the characterisic polynomial)

y(x)=Acos(kt)+Bsin(kt)\\k=\omega^2m

hope this helps!!

7 0
4 years ago
Read 2 more answers
How do I simplify this?
Fudgin [204]
This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
7 0
4 years ago
Julie rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total of
Studentka2010 [4]

Answer: 5

Step-by-step explanation:

4 0
3 years ago
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For a science experiment, Ashley removes a cold liquid from a refrigerator and measures its temperature every
zhuklara [117]

Answer:

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Step-by-step explanation:

8 0
4 years ago
I've been stuck on this for a long time. I would greatly appreciate help.
choli [55]
The vertex is (8,7)
the minimum value is 7
the vertex form is y=(x-8)^2 +7
the minimum value of y=7

i hope this helps!
7 0
4 years ago
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