A transformer has an input of9 V and an output of 36 V. If the input is changed to 12 V, show that the output would be 48 V.

Evaluate each combination. C(n, n)

In this exercise, simplify the given expression or perform the indicated operation(s) and, if possible, simplify. Assume that all variables represent positive real numbers.

$$\sqrt[4]{32 x^{11} y^{17}}$$

What happens when a firm makes a decision to grow from within?

Express the given vector as a linear combination of the vectors in the given set Q. $p(x)=-1-3 x+3 x^{2}$ and $Q=\{p_{1}(x), p_{2}(x), p_{3}(x)\}$, where $p_{1}(x)=1+2 x+x^{2}, p_{2}(x)=2 + 5x$, and $p_{3}(x)=3+8 x-2 x^{2}$.

Would mixing two stain-removal products bring better results? Explain.

¿Qué vas a hacer? Escribe una frase para cada situación. Usa una forma de ir $+\mathbf{a}+\mathrm{el}$ infinitivo del verbo.

El próximo sábado hay una fiesta de cumpleaños para tu mejor amigo.

Completa la frase Emplea la forma correcta del condicional perfecto del verbo (el condicional de haber y el participio pasado).

La Reina Mala__________ (estar) contenta si hubiera sido la más bella.

In this exercise, assume that all variables represent positive real numbers.

In this exercises, multiply as indicated. If possible, simplify any radical expressions that appear in the product.

$$(4-\sqrt{x})(3-\sqrt{x})$$

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. $r^{-8 / 9} \cdot r^{17 / 9}$

In this exercise, assume that all variables represent positive real numbers.

In this exercises, multiply as indicated. If possible, simplify any radical expressions that appear in the product.

$$(3-\sqrt{x})(2-\sqrt{x})$$

In this exercise, use the said theorem to determine the convergence or divergence of the $p$-series.

$\displaystyle 1+\frac{1}{\sqrt[3]{4}}+\frac{1}{\sqrt[3]{9}}+\frac{1}{\sqrt[3]{16}}+\frac{1}{\sqrt[3]{25}}+\cdots$.

In given problem, determine convergence or divergence for each of the series. Indicate the test you use.

$$\frac{\ln 2}{2^2}+\frac{\ln 3}{3^2}+\frac{\ln 4}{4^2}+\frac{\ln 5}{5^2}+\cdots$$

Use the properties of logarithms to rewrite the given logarithm if possible. Assume that all variables represent positive real numbers.

$$\log _m \sqrt{\frac{r^3}{5 z^5}}$$