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3 years ago

What answer i need fast

Mathematics

1 answer:

irina [24]3 years ago

5 0

2/3 cup pineapple for every 1/3 cup OJ

there are three 1/3 cups in 1 cup

so multiply 2/3 by 3

2/3 * 3 = 6/3 = 2

2 cups of pineapple juice is needed

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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

Pleasse and thank u <33

liubo4ka [24]

Answer:

4x-2x+3y+6x+6y distributive property

4x-2x+6y+3y+6y commutative property of addition

8x+9y combine like terms

Step-by-step explanation:

I hope this helps!

7 0

3 years ago

A long distance runner starts at the beginning of a trail and runs at a rate of 4 miles per hour. Two hours later, a cyclist sta

kenny6666 [7]

Recall your d = rt, distance = rate * time.

the runner takes off and goes at 4mph.

the cyclist takes off 2 hours later, and goes 14mph.

now, when they both meet, namely the cyclist comes from behind and meets ahead the runner, the distances both of them travelled, is say "d" miles for both, since both of them are "d" miles from the starting point.

if by them the cyclist has been going for say "t" hours, we know she took 2 hours later, so by the the runner has been running for "t + 2" hours then.

$\bf \begin{array}{lcccl}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Runner&d&4&t+2\\
Cyclist&d&14&t
\end{array}
\\\\\\
\begin{cases}
d=4(t+2)\\
\boxed{d}=14t\\
-------\\
\boxed{14t}=4(t+2)
\end{cases}
\\\\\\
14t=4t+8\implies 10t=8\implies t=\cfrac{8}{10}
\\\\\\
t=\cfrac{4}{5}~hr\impliedby \textit{or 48 minutes}$

4 0

3 years ago

M is directly proportional to r2 <br> When r=2, m=14<br> Work out the value of m when r=12

Genrish500 [490]

we have M is durectly porpotional to r^2

so M=(k)r^2

and when r=2, m=14

so 14=(k)(2)^2

k=14/4 =7/2

so when r=12

m= (7/2)(12)^2 =(7/2)(144) = 504

8 0

3 years ago

10.85 book .4% tax how do do this

antiseptic1488 [7]

You would take 10.85 times .4% which gives you 4.34 then you would add 4.34 to 10.85 for a total of 15.19

8 0

4 years ago