Answer:
(48 m^12)/n^8
Step-by-step explanation:
Simplify the following:
3 ((2 m^3)/(n^2))^4
Multiply each exponent in (2 m^3)/(n^2) by 4:
3×2^4 m^(4×3) n^(-2×4)
4 (-2) = -8:
3×2^4 m^(4×3) n^(-8)
4×3 = 12:
(3×2^4 m^12)/(n^8)
2^4 = (2^2)^2:
(3 (2^2)^2 m^12)/(n^8)
2^2 = 4:
(3×4^2 m^12)/(n^8)
4^2 = 16:
(3×16 m^12)/(n^8)
3×16 = 48:
Answer: (48 m^12)/n^8
Answer:
The route across the park is 40 meter shorter than the route around its edges.
Step-by-step explanation:
We have to calculate the distance for both routes
As the route around the edges is straight, we have to find the sum of length of both edges
Let 
be the distance of route around edges
Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.
We can use Pythagoras theorem to find the length of the diagonal
So,
In the given scenario
P = 60
B = 80
Now
In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.
Hence,
The route across the park is 40 meter shorter than the route around its edges.
Answer:
Step-by-step explanation:
A time series graph is one
Hello there! :)
<u><em>Answer:</em></u>
<u><em>14</em></u>
<u><em>*The answer must have a positive sign.*</em></u>
Step-by-step explanation:
<h3><u><em>Lesson: Order of operations and Distributive property</em></u></h3>
Pemdas
Stands for:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Left to right
Distributive property: a(b+c)=ab+ac
Divide by the numbers from left to right.
56/4=14
<u><em>Final answer is 14.</em></u>
Hope this helps!
Thanks!
-Charlie
Have a nice day! :)
:D
-Charlie
Silver = 10%
Gold = 90%
Amount of gold to be deducted
90/100 × 18 = 16.2 g
75/100 × 18 = 13.5
16.2 - 13.5 = 2.7
Amount o silver to added.
2.7 × 5 = 13.5
Answer = 13.5 g
