You and your tean1 are designing a device that can be used to position a small, plastic object in the region between the plates of a parallel-plate capacitor. A small plastic sphere of mass $m=1.20 \times 10^{-2}$ kg carries a charge $q=+0.200 \mu \mathrm{C}$ and hands vertically (along the y direction) from a massless, insulating thread (length l=10.0 cm) between two vertical capacitor plates. When there is no electric field, the object resides at the midpoint between the plates (at x=0). However, when there is a field between plates (in the $\pm x$ direction) the object moves to a new equilibrium position.

To what value should you set the field if you want the object to be located at x=2.10 cm?

A small shopping center contains three stores that represent three balanced three-phase loads. The power lines to the shopping center represent a three-phase source with a line voltage of 13.8 kV rms. The three loads are Load 1: 400 kVA at 0.9 pf lagging. Load 2: 200 kVA at 0.85 pf lagging. Load 3: 100 kVA at 0.90 pf lagging. Find the power line current.

When the horse Funny Cide won the 129th Kentucky Derby, a $2 bet that Funny Cide would win resulted in a return of$27.60. How much net profit was made from a $2 win bet on Funny Cide?

Peinados. En grupos de cuatro, elijan un conjunto de estilos de peinado para investigar y presentar a a la clase.

A: afro, cola de caballo, jopo, mohicano B: bollo, mullet, rastas, flequillo C: colmena, pompadour, luces, trenza africana cosida D: alas, bob, corte de tazon, rapado

use the properties of logarithms to expand the expression as a sum, difference, and or constant multiple of logarithms. (Assume all variables are positive.) log2 x^4√y/z^3

How do you say 'don't mention it' in Spanish?

Find dy/dx.

$$y = x \left[ \log _ { 2 } \left( x ^ { 2 } - 2 x \right) \right] ^ { 3 }$$

Write the number in standard form.

$$2.1 X 10^{-3}$$

Which photons contain more energy: those of blue light or those of red light?

Choose the best answer. School A has 400 students and School B has 2700 students. A local newspaper wants to compare the distributions of SAT scores for the two schools. Which of the following would be the most useful for making this comparison? (a) Back-to-back stemplots for A and B (b) A scatterplot of A versus B (c) Dotplots for A and B drawn on the same scale (d) Two relative frequency histograms of A and B drawn on the same scale (e) Two bar graphs for A and B drawn on the same scale

Choose the answer that gives the best definition of the underlined word. Jing-mei played only $\underline{discordant}$ music, and Old Chong, her deaf teacher, had no idea how earsplitting her playing sounded. Discordant means _____. F. unharmonious G. melodious H. popular J. rhythmic

A boat leaves harbor and travels at 20 knots on a bearing of 90°.After two hours, it changes course to a bearing of 150 ° and continues at the same speed for another hour. After the entire 3-hour trip, how far is it from the harbor? (A) 50 nautical miles ,(B) 53 nautical miles, (C) 57 nautical miles, (D) 60 nautical miles, (E) 67 nautical miles.

Multiply if possible. Then simplify. $\sqrt[3]{9} \cdot \sqrt[3]{3}$

Your company’s market share is undergoing steady growth. Explain why a logarithmic function is not appropriate for longterm future prediction of your market share.