The value of the resistor that must be connected in parallel is 57.47 ohms
<h3>How to determine the resistor connected across the 230 V supply</h3>
- Voltage (V) = 230 V
- Current (I) = 12 A
- Resistor 1 (R₁) =?
V = IR
230 = 12 × R₁
Divide both sides by 12
R₁ = 230 / 12
R₁ = 19.17 ohms
<h3>How to determine the total resistance</h3>
- Voltage (V) = 230 V
- Current (I) = 16 A
- Total resistance (Rₜ) =?
V = IR
230 = 16 × Rₜ
Divide both sides by 12
Rₜ = 230 / 16
Rₜ = 14.375 ohms
<h3>How to determine the resistor connected in paralle</h3>
- Resistor 1 (R₁) = 19.17 ohms
- Total resistance (Rₜ) = 14.375 ohms
- Resistor 2 (R₂) = ?
1/Rₜ = 1/R₁ + 1/R₂
Collect like terms
1/R₂ = 1/Rₜ - 1/R₁
R₂ = (Rₜ × R₁) / (R₁ - Rₜ)
R₂ = (14.375 × 19.17) / (19.17 - 14.375)
R₂ = 57.47 ohms
Learn more about Ohm's law:
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The answer to your question is X=1
Answer:
x = 7
Step-by-step explanation:
-3 + 2x = 11
(group like terms)
2x = 11 + 3
2x = 14
(divide both sides by 2 to make x stand alone)
2x/2 = 14/2
x = 7
Answer:
A
Step-by-step explanation:
The probability of rolling a 3 is
1
/6 since there is 1 three and there are 6 sides total. The probability of rolling an even number is 1
/2 since there are 3 even numbers and 6 total sides. Multiply 1
/6 and 1
/2 and the correct answer is 1
/12
.
Answer:
Option (1) is the correct option.
Step-by-step explanation:
Function 1,
f(x) = 4x² + 8x + 1
= 4(x² + 2x) + 1
= 4(x² + 2x + 1 - 1) + 1
= 4(x² + 2x + 1) - 4 + 1
f(x) = 4(x + 1)² - 3
This graph opens up with the vertex or minimum point at (-1, -3)
So, the minimum value of the function is (-3) at x = -1.
Function (2)
From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)
Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)
Option (1) is the correct option.
