Answer:
Resister of 0.15 W is to be added.
Step-by-step explanation:
In a given circuit we have the attachments
A power supply of 12 V
High intensity LED with forward voltage = 4.5V
LED is rated to withstand a maximum current of 20 mA or 
We have to calculate the size of a resister to be connected in series.
Here we will apply the Ohm's law for the calculations
Total voltage of the circuit = voltage of LED + voltage across resistance.
r = (12 - 4.5)/20.10^{-3}
r = 7.5×10^{3}/20 = 375 ohm
Therefore power of the resistance = i².r
= 0.15 W
Therefore a resister of 0.15 W is to be added.
Answer:
8 1/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (-1, -3.75)
Point (-1, 4.5)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:
- [√Radical] (Parenthesis) Subtract:
- [√Radical] Evaluate exponents:
- [√Radical] Add:
- [√Radical] Evaluate:
Hey there!!
( a ) 1 + 3/x²-1 = 2/x-1
x²-1+3/x²-1 = 2/x-1
x²+2/x²-1 = 2/x-1
Note : we can write x²-1 as (x-1)(x+1)
I wrote this with the identity a²-b² = (a+b)(a-b)
x²+2/(x-1)(x+1) = 2/x-1
Multiplying (x-1)(x+1) on both sides
x²+2 = 2(x-1)(x+1) / (x-1)
x²+2 = 2(x+1)
x²+2 = 2x+2
x²-2x = 0
x(x-2)=0
x=0
x-2=0
x=2
x = 0 and 2
( b ) ( √x+3 ) - 1 = x
√x+3 = x+1
x+3 = ( x+1)²
x+3 = x²+2x+1
x+3-x²-2x-1=0
-x+2-x²=0
-x²-x+2=0
x = -b plus or minus √b2 -4ac / 2a
x = -1 plus or minus √ 1 + 8 / 2
-1 plus or minus √9 / 2
-1 plus or minus 3/2
-1 +3 / 2
x = 1
-1 - 3 / 2
-4/2
x = -2
negative cannot be a value
Hence, the answer is
x = 1
Hope my answer helps!
Answer:
Equation:
Solution:
Step-by-step explanation:
<u>Perimeter of a hexagon
</u>
We are given the length of the side of a regular hexagon
And we also know the perimeter of the hexagon is
The perimeter of a regular hexagon is 6 times its side, so
The equation that will give the relation to solve for x is
Reducing
The answer is going to be 15 out of the 24 problems. Hope that helped
