Use the following key term in a sentence that shows the term's meaning. You may use two terms in one sentence. selva

In a circuit with one battery, connecting wires, and a 12 cm length of Nichrome wire, a compass deflection of $6^o$ is observed. What compass deflection would you expect in a circuit containing two batteries in series, connecting wires, and a 36 cm length of thicker Nichrome wire (double the cross-sectional area of the thin piece)? Explain.

Why are humid subtropical climates (Cfa) found in regions bounded by $20^{\circ}$ and $40^{\circ}(\mathrm{N}$ or $\mathrm{S}$ ) latitudes, and nowhere else?

Find the derivative of $\dfrac{d}{dx}(2x-5)$

Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. $\cos \left(\cos ^{-1} 0.6\right)$

When helium escapes from a balloon, the balloon’s volume decreases. Based on your intuition about stretching rubber, explain how this observation is consistent with the gas law.

Calculate the de Broglie wavelength of a 1.2-kg rock thrown with a speed of 6.0 m/s into a pond. Is this wavelength similar to that of the water waves produced? Explain your answer.

Zoom in on a plot of f at the point (a, f(a)) and state whether or not f appears to be differentiable at x = a. If it is nondifferentiable, state whether the tangent line appears to be vertical or does not exist. f(x) = |x - sin x|, a = 0

An airline employee tosses two suitcases in rapid succession, with a horizontal velocity of 7.2 ft/s, onto a 50-lb baggage carrier which is initially at rest. (a) Knowing that the final velocity of the baggage carrier is 3.6 ft/s and that the first suitcase the employee tosses onto the carrier has a weight of 30 lb, determine the weight of the other suitcase. (b) What would be the final velocity of the carrier if the employee reverses the order in which he tosses the suitcases?

Sketch the graph of a function that is not continuous at 1, but is defined at 1.

Find the sum of the positive odd integers less than 300. Explain your reasoning.

A plate carries a charge of $- 3.0 \mu \textrm{C}$ while a rod carries a charge of $+ 2.0 \mu \textrm {C}$ How many electrons must be transferred from the plate to the rod, so that both objects have the same charge?

In anacrobic bacteria, the source of carbon may be a molecule other than glucose and the final electron acceptor is some molecule other than $\mathrm{O}_{2}.$ Could a bacterium evolve to use the ethanol/nitrate pair instead of the glucose/$O_{2}$ pair as a source of metabolic energy?

Write an expression from the description. Then evaluate the expression: 9 more than the quotient of -36 and - 4.