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patriot [66]
2 years ago
13

On the moon, a bag of sugar has a weight of 3.7 Newtons (N) and a mass of 2.26 kilograms (kg). Which of the following describes

the mass of the sugar on Earth? A. more than its mass on the Moon B. same as its weight on the Moon. C. same as its mass on the Moon D. less than its mass on the Moon
Mathematics
1 answer:
ludmilkaskok [199]2 years ago
8 0

Answer:

c

Step-by-step explanation:

mass will never change only weight will as weight is dependent on gravitational field strength

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Integrate 1 - x / x(x2 + 1) d x by partial fractions.
solniwko [45]

Answer:

log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x

Step-by-step explanation:

step 1:-   by using partial fractions

[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }......(1)

<u>step 2:-</u>

solving on both sides

1-x=A(x^{2} +1)+(Bx+C)x......(2)

substitute x =0 value in equation (2)

1=A(1)+0

<u>A=1</u>

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

<u>-</u>1  =  C

<u>step 3:-</u>

substitute A,B,C values in equation (1)

now  

\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 }  d x -\int\limits \frac{1}{x^{2}+1 }  d x

by using integration formulas

i)  by using \int\limits \frac{1}{x}   d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\.....(b)

\int\limits tan^{-1}x  dx =\frac{1}{1+x^{2} } +C.....(c)

<u>step 4:-</u>

by using above integration formulas (a,b,and c)

we get answer is

log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x

6 0
3 years ago
Which is greater? 12.045 or 12.54
Pavlova-9 [17]

Answer:

12.54

Step-by-step explanation:

5>0

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DerKrebs [107]

Answer: the line is no longer linear

Step-by-step explanation:

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Nimfa-mama [501]
2 times because 2 times is like 2time 8=16
8 0
2 years ago
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Identify square root of 11 as either rational or irrational, and approximate to the tenths place.
Firlakuza [10]

\sqrt{11} =3.316625

Rounded to the tenth: 3.3

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