0.12 repeating in its simplist fraction

How do I solve for an absolute value equation?

Vitek1552 [10]

Answer:

The absolute value is always positive no matter if there's a negative.

Step-by-step explanation:

6 0

3 years ago

A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1 henry and the resistance is 30 o

Dafna1 [17]

Answer:

$i(t)=(2/3)(1-e^{-300t})$

Step-by-step explanation:

Before we even begin it would be very helpful to draw out a simple layout of the circuit. Then we go ahead and apply kirchoffs second law(sum of voltages around a loop must be zero) on the circuit and we obtain the following differential equation,

$-V +Ldi/dt+Ri=0$

where V is the electromotive force applied to the LR series circuit, Ldi/dt is the voltage drop across the inductor and Ri is the voltage drop across the resistor. we can re write the equation as,

$di/dt+Ri/L=V/L$

Then we first solve for the homogeneous part given by,

$di/dt+Ri/L=0$

we obtain,

$i(t)_{h} =I_{max}e^{-Rt/L}$

This is only the solution to the homogeneous part, The final solution would be given by,

$i(t)=i(t)_{h} +c$

where c is some constant, we added this because the right side of the primary differential equation has a constant term given by V/R. We put this in the main differential equation and obtain the value of c as c=V/R by comparing the constants on both sides.if we put in our initial condition of i(0)=0, we obtain $I_{max} =V/R$ , so the overall equation becomes,

$I(t)=(V/R)(1-e^{-Rt/L})$

where if we just plug in the values given in the question we obtain the answer given below,

$i(t)=(2/3)(1-e^{-300t})$

5 0

3 years ago

F÷−32=−31<br><br> whats the answer?

Archy [21]

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-32" was replaced by "/(-32)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

f/(-32)-(-31)=0

Step by step solution :

STEP

1

:

f

Simplify ———

-32

Equation at the end of step

1

:

f

——— - -31 = 0

-32

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using -32 as the denominator :

-31 -31 • -32

-31 = ——— = —————————

1 -32

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

f • -1 - (-31 • 32) 992 - f

——————————————————— = ———————

32 32

Equation at the end of step

2

:

992 - f

——————— = 0

32

STEP

3

:

When a fraction equals zero

3.1 When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

992-f

————— • 32 = 0 • 32

32

Now, on the left hand side, the 32 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

992-f = 0

Solving a Single Variable Equation:

3.2 Solve : -f+992 = 0

Subtract 992 from both sides of the equation :

-f = -992

Multiply both sides of the equation by (-1) :

f = 992

the answer is f = 992

8 0

3 years ago

Read 2 more answers

How do I solve this equation 144=-12(x+5)

Papessa [141]

First you distribute the -12 to the (x+5) getting 144=-12x-60.

Next you add 60 to each side getting 204=-12x

Then you divide each side by -12 getting -17=x, which is the answer.<span />

6 0

3 years ago

Which equation shows the value of -1.5 - 2.75?

VashaNatasha [74]

The answer is -1.5+(-2.75)=-4.25. This equation is the same as the result of -1.5 -2.75.

4 0

4 years ago

Read 2 more answers