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luda_lava [24]
3 years ago
11

The diameter of Mercury is approximately 4.9×103 kilometers. The diameter of Earth is approximately 1.3×104 kilometers. About ho

w many times greater is the diameter of Earth than the diameter of Mercury? 2.7 27 270 2700
Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0
Hi there!

To get the answer to this question, let's divide the diameter of the Earth by the diameter of Mercury.

\frac{1.3*10^4}{4.9*10^3}

We can change this to

\frac{1.3}{4.9}*\frac{10^4}{10^3}

Let's solve for each individual fraction

\frac{1.3}{4.9} ≈ 0.27

\frac{10^4}{10^3} = 10

Now, multiply.

0.27 * 10 = 2.7

That's your answer.

Have an awesome day/night! :)

~collinjun0827, Junior Moderator
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A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?
NeTakaya
A point (a, b) in the second Quadrant, is any point where a is negative and b is positive.

For example (-3, 5), (-189, 14) etc are all points in the 2.Quadrant

Rotating a point P(x, y) in the second Quadrant 180° counterclockwise, means rotating 180° counterclockwise about the origin, which maps point P to P'(-a, -b) in the fourth Quadrant.

3 0
3 years ago
Resolve into factors: 81a3 + 3b3
iren [92.7K]

Answer: (3a+b)⋅(9a  2 −3ab+b2 )

Step-by-step explanation:

8 0
2 years ago
If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
Alexxx [7]
\bf f(x)=y=2x+sin(x)
\\\\\\
inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)
\\\\\\
\textit{now, the "y" in the inverse, is really just g(x)}
\\\\\\
\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
-----------------------------\\\\

\bf \textit{let's use implicit differentiation}\\\\
1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}
\\\\\\
1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}

now, if we just knew what g(2)  is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that  means if we use that value in f(x),   f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus    2 = 2x+sin(x)

\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2
\\\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it
5 0
3 years ago
Please help !! what’s the answer? i don’t understand !!
dedylja [7]

Answer:

992

Step-by-step explanation:

You must convert the meter the kilometer by miltiplying by 1000

and when you do it you must multiply 0.992 by 1000 since it is a fraction .

or you can work it this way :

  • 0.992⇒1m
  • x(the new rate) ⇒1000m
  • x= 0.992*1000= 992

7 0
3 years ago
How much can 14 go into 16
Fantom [35]
Once, 14 divided by 16 equals 1 with a remainder of 2
4 0
3 years ago
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