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Bingel [31]
3 years ago
14

Solve the equation for the indicated variable. Q = 8rs^2, for r

Mathematics
2 answers:
Elis [28]3 years ago
8 0

Answer:

  r = Q/(8s^2)

Step-by-step explanation:

Divide by the coefficient of r.

  Q/(8s^2) = 8rs^2/(8s^2) = r

Karolina [17]3 years ago
8 0
ANSWER

\boxed { r = \frac{Q}{8 {s}^{2} } }

EXPLANATION

The given equation is;

Q=8rs^2

We want to solve this equation for r.



This means that we need to isolate r, so that it will be on one side of the equation, while all other variables and constants are also on the other side.


Let us divide both sides of the equation by

8 {s}^{2}

to obtain,


\frac{Q}{8 {s}^{2} } = \frac{8rs^2}{8 {s}^{2} }



We cancel out the common factors to obtain,



\frac{Q}{8 {s}^{2} } =r
Or

r = \frac{Q}{8 {s}^{2} }
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fomenos

Answer:

g(x)=\dfrac{x^2+1}{3}

Step-by-step explanation:

<u>Given functions</u>:

\begin{cases}f(x)=3x-1\\(f \circ g)(x)=x^2\end{cases}

Composite functions are when the <u>output</u> of one function is used as the <u>input</u> of another.

Therefore, the given <u>composite function</u> (f o g)(x) means to <u>substitute</u> function g(x) in place of the x in function f(x).

\begin{aligned}(f \circ g)(x) & = x^2\\f(g(x)) & = x^2\\\implies 3(g(x))-1 & = x^2\\3(g(x))-1+1 & = x^2+1\\3(g(x))&=x^2+1\\\dfrac{3(g(x))}{3}&=\dfrac{x^2+1}{3}\\\implies g(x)&=\dfrac{x^2+1}{3}\end{aligned}

Therefore:

\boxed{g(x)=\dfrac{x^2+1}{3}}

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Study the expression<br> x-y+ z(x + y)<br> Evaluate the expression if x = 10, y = -1, and z=0
vovangra [49]

Answer:

<em>The value of the expression is 11</em>

Step-by-step explanation:

<u>Evaluate Expressions</u>

An algebraic expression consists of a set of variables and constants related by algebraic operations like addition, subtraction, multiplication, etc.

To evaluate an algebraic expression, we replace the variables for the constant value they are assigned.

Let's consider the expression:

x-y+ z(x + y)

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4 0
3 years ago
Find the measure of HIW in picture.
Contact [7]
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angle of WIJ and HIW is equal to 145 degrees
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