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3 years ago

9 to the second power multiply by 3 to the 6 power =3 to the ? power

Mathematics

1 answer:

GenaCL600 [577]3 years ago

7 0

Answer:

Step-by-step explanation:

$a^{m}$ × $a^{n}$ = $a^{m+n}$

$(a^{m})^{n}$ = $a^{mn}$

~~~~~~~~~~~~~

$9^{2}$ × $3^{6}$ = (3²)² × $3^{6}$ = $3^{2*2+6}$ = $3^{10}$

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Find an equation of variation in which y varies jointly as x and z and inversely as the product of w and p, where yequalsstartf

leva [86]

To solve this problem you must apply the proccedure shown below:

1. You have that $y$ varies jointly as $x$ and $z$ and inversely as the product of $w$ and $p$ . Therefore, you can write the following equation, where $k$ is the constant of proportionality:

$y=k(\frac{xz}{wp} )$

2. Now, you must solve for the constant of proportionality, as following:

$k=\frac{ywp}{xz}$

3. Susbtiute values:

$y=\frac{7}{28} \\ x=7\\ z=4\\ w=7\\ p=8$

$k=\frac{(\frac{7}{28})(7)(8))}{(7)(4)} =0.5$

4. Substitute the value of the constant of proportionality into the equation:

$y=0.5(\frac{xz}{wp})$

The answer is: $y=0.5(\frac{xz}{wp})$

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3 years ago

Which model is most appropriate for the data shown in the graph below?

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Quadratic is like a parabola.
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4 years ago

Read 2 more answers

Which expression is equivalent to square root 55x^7y6/11x^11y^8

Novay_Z [31]

Answer:

$\large\boxed{\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt5}{x^2y}}$

Step-by-step explanation:

$\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{55}{11}\cdot\dfrac{x^7}{x^{11}}\cdot\dfrac{y^6}{y^8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\sqrt{5x^{7-11}y^{6-8}}=\sqrt{5x^{-4}y^{-2}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt5\cdot\sqrt{x^{-4}}\cdot\sqrt{y^{-2}}=\sqrt5\cdot\sqrt{x^{(-2)(2)}}\cdot\sqrt{y^{(-1)(2)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt5\cdot\sqrt{(x^{-2})^2}\cdot\sqrt{(y^{-1})^2}\qquad\text{use}\ \sqrt{a^2}=a$

$=\sqrt5\cdot x^{-2}\cdot y^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\=\sqrt5\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y}=\dfrac{\sqrt5}{x^2y}$

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3 years ago

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