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weeeeeb [17]
3 years ago
7

R(r1+r2)=r1r2 solve for R

Mathematics
2 answers:
ss7ja [257]3 years ago
5 0

R = (r₁r₂) / (r₁ + r₂)

<h3>Further explanation</h3>

\boxed{ \ R(r_1 + r_2) = r_1r_2 \ }

In the equation there are three variables, namely R, r₁, and r₂.

Our main plan is to isolate the variable R alone at the end of the process on one side of the equation until the variable will be equal to the value on the opposite side.

Let us solve R from the equation.

Both sides are divided by \boxed{ \ r_1 + r_2 \ }

Thus, the result is \boxed{\boxed{ \ R = \frac{r_1r_2}{r_1 + r_2} \ }}

That's all the steps to get R as a subject.

- - - - - - -

What if we solve for r₂?

- - - - - - -

\boxed{ \ R(r_1 + r_2) = r_1r_2 \ }

Or, we prepare as follows: \boxed{ \ r_1r_2 = R(r_1 + r_2) \ }

We use the distributive property of multiplication on the right side.

\boxed{ \ r_1r_2 = Rr_1 + Rr_2 \ }

Both sides are subtracted by \boxed{ \ Rr_2 \ }

\boxed{ \ r_1r_2 - Rr_2 = Rr_1 \ }

Again we use the distributive property of multiplication on the left side.

Pull r₂ out of the brackets.

\boxed{ \ r_2(r_1 - R) = Rr_1 \ }

Both sides are divided by \boxed{ \ r_1 - R \ }

Thus, the result is \boxed{\boxed{ \ r_2 = \frac{Rr_1}{r_1 - R} \ }}

That's all the steps to get r₂ as a subject.

<h3>Learn more</h3>
  1. Solve step by step for ²/₇m - ¹/₇ = ³/₁₄ brainly.com/question/4853649
  2. The inverse of a function brainly.com/question/3225044
  3. Solving for a subject from the equation brainly.com/question/6465937

Keywords: solve for R, r₁, r₂, both sides, divide, multiply, subject, steps, he distributive property of multiplication

romanna [79]3 years ago
4 0
We need to solve for R, This is really simple.

The original expression is:
R (r1 + r2) = r1r2

To solve for a certain variable, we need to get this variable alone on one side of the equation and equate it with the other side.

In the given expression, to get R alone on one side we have to eliminate (r1 + r2).
In order to do this, we will divide both sides by (r1 + r2).
Doing this, we get the solution as follows:
R = (r1r2) / (r1 + r2)
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So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

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Using complimentary counting, subtract the inadmissible arrangements from 12^7 to get the number of admissible arrangements.

\displaystyle \_\_ \:B_1\_\_ \:B_2\_\_ \:B_3\_\_ \:B_4\_\_ \:B_5\_\_

B_1 can be any note, giving us 12 options. Whatever note we choose, B_2, B_{...} must match it, yielding 12\cdot 1\cdot 1\cdot 1\cdot 1=12. For the remaining two white key notes, W_1 and W_2, we have 11 options for each (they can be anything but the note we chose for the black keys).

There are three possible arrangements of white key groups and black key groups that are inadmissible:

WWBBBBB\\WBBBBBW\\BBBBBWW

White key notes can be different, so a distinct arrangement of them will be considered a distinct melody. With 11 notes to choose from per white key, the number of ways to inadmissibly arrange the white keys is \displaystyle\frac{11\cdot 11}{2!}.

Therefore, the number of admissible arrangements is:

\displaystyle 12^7-3\left(\frac{12\cdot 11\cdot 11}{2!}\right)=\boxed{35,829,630}

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