Answer:
0.267![mm^3](https://tex.z-dn.net/?f=mm%5E3)
Step-by-step explanation:
Radius of the Bubble = 0.7 mm
Volume of the bubble is given by the formula
:
![r=\sqrt[3]{\frac{3V}{4\pi } }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%20%7D)
Taking cube on both sides
![V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%5Cpi%5Ctimes%20r%5E3%20%7D%7B3%7D%5C%5C%5C%5C%20V%3D%5Cfrac%7B4%5Ctimes3.14%5Ctimes%280.7%29%5E3%7D%7B3%7D%5C%5C%5C%5CV%3D%5Cfrac%7B12.56%5Ctimes%200.064%7D%7B3%7D%5C%5C%5C%5C%20V%3D%5Cfrac%7B0.804%7D%7B3%7D%5C%5C%5C%5CV%3D0.267mm%5E3)
Answer:
$2500 - 2%
$1500 - 4%
Step-by-step explanation:
Say the interest for the $2500 is x, so the interest for the $1500 is x+0.02.
As an equation, they would look like this:
2500x+1500(x+0.02)=110
Now solve
2500+1500x+30=110
4000x=80
x=0.02
That means the interest for the $2500 is 0.02, or 2%, and the interest for the $1500 is 0.04, or 4%.
This is the concept of arithmetic, the total number of books that remained will be given by:
[total number of books]-[Books lost/stolen+books repaired]
=1208-[32+24]
=1208-56
=1152
there was 1152 books left
Answer:
14 + 5x
Step-by-step explanation:
<u>Step 1: Combine like terms</u>
-10 + 7x + 24 - 2x
-10 + 24 + 7x - 2x
(-10 + 24) + (7x - 2x)
<em>14 + 5x</em>
<em />
Answer: 14 + 5x
Answer:
see explanation
Step-by-step explanation:
Given
2(3x - 5) = 6x + 8 ← distribute left side
6x - 10 = 6x + 8 ( add 10 to both sides )
6x = 6x + 18 ( subtract 6x from both sides )
0 = 18 ← not possible
This indicates the equation has no solution