To know the mass of the sphere given the density , we first define density as
D = Mass / volume
now we have a value of density but doesn't have volume so we compute for it using the given radius 5.5 cm
V = <span>(4/3)πr^3
so
mass = D (volume)
mass = 11.34 (</span>(4/3)π(5.5)^3 )
mass = 7902.96 g <span>Hope my answer would be a great help for you.
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<span> </span>
<span><span>A.
</span>y= 4 / x</span>
Proportionality or variation is state of relationship or
correlation between two variables It has two types: direct variation or
proportion which states both variables are positively correlation. It is when
both the variables increase or decrease together. On the contrary, indirect
variation or proportion indicates negative relationship or correlation. Elaborately,
the opposite of what happens to direct variation. One increases with the other
variables, you got it, decreases. This correlations are important to consider
because you can determine and identify how two variables relates with one
another.
Notice x = y (direct), y=1/x (indirect)
Find the missing angles using either the triangle sum theorem (a2+b2=c2) or inverse trigonometric ratios
The answer is:
<span>y</span><span> > 2</span><span>x
</span>x<span> + 2</span>y<span> ≤ –8
</span>
The amount in the new checking account is 600 dollars
The operation (5 α 3) + (7 α 5) is 46.
<h3>How to find the amount in the checking account?</h3>
She had 1000 dollars in her checking account. she had a loan of 800 dollars to pay.
After paying her loan form her checking account the balance of the loan reduce to half.
Therefore, she paid 800 / 2 = 400 dollars for her loan
Hence,
Her new checking account = 1000 - 400 = 600 dollars
<h3>How to find value of an operation?</h3>
a α b = ab - a + b
Therefore,
(5 α 3) + (7 α 5)
(5 α 3) = 5(3) - 5 + 3 = 13
(7 α 5) = 7(5) - 7 + 5 = 33
Therefore,
(5 α 3) + (7 α 5) = 13 + 33 = 46
Note: I can't use the at symbol because it is a swear word.
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