Answer:
C. (3x)^2 - (2)^2
Step-by-step explanation:
Each of the two terms is a perfect square, so the factorization is that of the difference of squares. Rewriting the expression to ...
(3x)^2 - (2)^2
highlights the squares being differenced.
__
We know the factoring of the difference of squares is ...
a^2 -b^2 = (a -b)(a +b)
so the above-suggested rewrite is useful for identifying 'a' and 'b'.
First, you can combine all of the terms involving x:
0.3x + 0.03x + 0.003x + 0.0003x + 0.00003x = 3
0.33333x = 3
0.33333x / 0.33333 = 3 / 0.33333
x = 9.0000900009…
x ≈ 9
Hope this helps! :)
Answer:
0.86
Step-by-step explanation:
The z-score we need to make the comparison is given by
where
= the standard deviation established in the study
n = the sample size
and for the Normal distribution N(0,1) we want to find
<em>P(X > -1.0801)
</em>
By using a spreadsheet or the table attached, we find that
P(X > -1.0801) = 0.86
(See picture attached)
<u>Given that</u> :
Diameter (d) = 18 cm
Pi (π) = 3.14
Radius (r) = d/2 = 18/2 = 9 cm
We know that volume of sphere is
Volume of Sphere = 4/3πr³
Volume = 4/3 × 3.14 × (9)³
Volume = 4/3 × 3.14 × 729
Volume = 4 × 3.14 × 243
Volume = 12.56 × 243
Volume = 3052.08
<u>Hence, the volume is 3052.08 cm³</u>
Its a Parellelogram, as the opposite sides are equal.
