What is the value of 4 In 5,679.04

What is the value of x? 120 41 61 122

amm1812

63 is the correct answer lad

8 0

4 years ago

What is the total resistance of a parallel circuit that has three loads? Load one has a resistance of 6 ohms. Load two has a res

gizmo_the_mogwai [7]

Answer:

The total resistance of these three resistors connected in parallel is $1.7143\Omega$

Step-by-step explanation:

The attached image has the circuit for finding the total resistance. The circuit is composed by a voltage source and three resistors connected in parallel: $R_1=6\Omega$ , $R_2=3\Omega$ and $R_3=12\Omega$ .

First step: to find the source current

The current that the source provides is the sum of the current that each resistor consumes. Keep in mind that the voltage is the same for the three resistors ( $R_1$ , $R_2$ and $R_3$ ).

$I_{R_1}=\frac{V_S}{R_1}$

$I_{R_2}=\frac{V_S}{R_2}$

$I_{R_3}=\frac{V_S}{R_3}$

The total current is:

$I_S=I_{R_1}+I_{R_2}+I_{R_3}=\frac{V_S}{R_1}+\frac{V_S}{R_2}+\frac{V_S}{R_3}=\frac{R_2\cdot R_3 \cdot V_S+R_1\cdot R_3 \cdot V_S+R_1\cdot R_2 \cdot V_S}{R_1\cdot R_2\cdot R_3}$

$I_S=V_S\cdot \frac{R_2\cdot R_3+R_1\cdot R_3+R_1\cdot R_2}{R_1\cdot R_2\cdot R_3}$

The total resistance ( $R_T$ ) is the source voltage divided by the source current:

$R_T=\frac{V_S}{I_S}$

Now, replace $I_S$ by the previous expression and the total resistance would be:

$R_T=\frac{V_S}{V_S\cdot \frac{R_2\cdot R_3+R_1\cdot R_3+R_1\cdot R_2}{R_1\cdot R_2\cdot R_3}}$

Simplify the expression and you must get:

$R_T=\frac{R_1\cdot R_2\cdot R_3}{R_2\cdot R_3+R_1\cdot R_3+R_1\cdot R_2}$

The last step is to replace the values of the resistors:

$R_T=\frac{(6\Omega )\cdot (3\Omega)\cdot (12\Omega)}{(3\Omega)\cdot (12\Omega)+(6\Omega)\cdot (12\Omega)+(6\Omega)\cdot (3\Omega)}=\frac{12}{7}\Omega=1.7143\Omega$

Thus, the total resistance of these three resistors connected in parallel is $1.7143\Omega$

4 0

3 years ago

2. A square has an area of 64 square inches. It is enlarged by a scale factorof Ž. What is the length of one side of the new squ

maw [93]

Following the setps we have that

$\begin{gathered} n\cdot n=64 \\ n^2=64 \\ n=\sqrt[]{64}=8 \end{gathered}$

the lengths of the sides of the original square is 8 inches each one. Now we are going to find the lengths of the sides of the new square following the step 2

$8\cdot\frac{3}{2}=\frac{24}{2}=12$

the lengths of the sides of new square is 12 inches each one.

4 0

1 year ago

Capellas footwear has a monthly fixed cost of 2,400.it costs capellas $7.5 to produce each pair of shoes it sells. Write an expe

mel-nik [20]

Answer:

C(x) = 7.5k + 2400 is the expense equation.

Step-by-step explanation:

The fixed cost per month = $2,400

Cost of producing each shoe = $7.5

Here, let k be the number of shoes produced per month .

So, the monthly expense

= Fixed Cost + (Number of shoes produced per month x Cost per shoe)

or, C(x) = $2,400 + ( k x $7.5)

or, C(x) = 7.5k + 2400 is the expense equation.

6 0

3 years ago

Andre and scott share the driving on a trip. Scott drives 7 miles more than three times tge distance Andre drives. If the trip i

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

What we know is that A + S = 111. That is, the miles Andre drove plus the miles Scott drove totalled 111 miles. What we also know is that Scott drove quite a bit more than Andre did. Scott drove 7 miles more that ( +7 ) 3 times the number of miles Andrea drove. That looks like this algebraically:

S = 3A + 7

Now we can sub in that value for S to the original equation:

If A + S = 111 and S = 3A + 7, then

A + 3A + 7 = 111 and

4A + 7 = 111 and

4A = 104 so

A = 26 and

S = 3(26) + 7 so

S = 85 miles.

Scott drove 85 miles.

3 0

3 years ago

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