Answer:
x=
Step-by-step explanation:
Q= illumination
I = intensity
Q= I/d^2
Q_total = 
= 
now Q' = 0
⇒I
x=![\frac{16}{\sqrt[3]{2}+1 }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%5B3%5D%7B2%7D%2B1%20%7D)
[/tex]
x=
is the required point
Answer:
Step-by-step explanation:
the median is the line inside the box which is 84
1.
18 units
10 units right and 8 units up.
2.
7 units
3 units right and 4 units down.
3.
8 units
1 units right and 7 units down
4.
8 units
5 units and 3 units down
Answer:
In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.
Surprise! It turns out that the answer is 1.
Why?!!??!
Notice this pattern when working with powers of 2:
2^0 2^1 2^2 2^3 2^4
? 2 4 8 16
Every time we increase the power we multiply by 2. Or reading the pattern backwards, every time we decrease the power we divide by 2. What is 2 divided by 2? It is 1! So 2^0 = 1 to finish the pattern:
2^0 2^1 2^2 2^3 2^4
1 2 4 8 16
Try it with 3 or with 5 or with any number! You'll see that the pattern holds!