Solve the equation for the specified variable.

$$h = \sqrt [ 3 ] { \frac { 12 I } { b } } \text { for } I$$

Explain the relationship between the vocabulary terms in each pair below. polar nuclei, endosperm

Divide and simplify. Write each answer in the form $a+b i$.

$$\frac{10}{3+i}$$

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word.

The inmate failed to convince the parole board of his complete renunciation of ..

The circuit in the given figure has two identical resistors and three identical inductors. If $L=30 \mathrm{mH}$, what value must $R$ have to give a time constant of $50 \mu \mathrm{s}$ ?

The marching band is selling poinsettias to buy new uniforms. Last year the band charged $5 each, and they sold 150. They want to increase the price this year, and they expect to lose 10 sales for each$1 increase. The sales revenue R, in dollars, generated by selling the poinsettias is predicted by the function R = (5 + p)(150 - 10p), where p is the number of $1 price increases. Write the function in standard form.

The population of a particular insect decreases by half each night that the temperature drops below freezing.

Graph the function.

Simplify each expression. Write your answers without negative exponents. Whenever an exponent is negative or zero, assume that the base is not zero. $\frac { 27 x ^ { - 3 } y ^ { 5 } } { 9 x ^ { - 4 } y ^ { 7 } }$

Prove that $f(z)=z^2-2 z+3$ is continuous everywhere in the finite plane.

Simplify $(a b)^{-9}$. Do not use negative exponents in the answer.

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word.

Occasionally, Lisa strayed from her abstemious budget in order to ...

(a) Given a 48.0-V battery and $24.0-\Omega$ and $96.0-\Omega$ resistors, find the current and power for each when connected in series. (b) Repeat when the resistances are in parallel.

A series circuit contains the following values of resistors:

$$\begin{array}{llll} \mathrm{R}_1=510 \Omega & \mathrm{R}_2=680 \Omega & \mathrm{R}_3=390 \Omega & \mathrm{R}_4=750 \Omega \end{array}$$

Assume a source voltage of $48 \mathrm{~V}$. Use the general voltage divider formula to calculate the voltage drop across each of the resistors. $\mathrm{E}_1=$ $V E_2=$ $\mathrm{V} \mathrm{E}_3=$ V $E_4=$ $\mathrm{V}$

Regular flights of supersonic aircraft in the stratosphere are of concern because such aircraft produce nitric oxide, NO, as a byproduct in the exhaust of their engines. Nitric oxide reacts with ozone, and it has been suggested that this could contribute to depletion of the ozone layer. The reaction $\mathrm{NO}+\mathrm{O}_{3} \longrightarrow \mathrm{NO}_{2}+\mathrm{O}_{2}$ is first order with respect to both NO and $\mathrm{O}_{3}$ with a rate constant of 2.20 $\times 10^{7}$ L/mol/s. What is the instantaneous rate of disappearance of NO when [NO] = 3.3 $\times 10^{-6}$ M and [$\mathrm{O}_{3}$] = 5.9 $\times 10^{-7}$ M?