Suppose two batteries, with unequal emfs of 2.00 V and 3.00 V, are connected as shown in (Figure 1) If each internal resistance is r = 0.400? , and R = 4.00 ?, what is the voltage across the resistor R?

A proton moves from a location where V =75 V to a spot whereV = -20 V.

(a) What is the change in the proton's kinetic energy?

(b) If we replace a proton with an electron, what is the change in kinetic energy?

Let u and v be two integers and let us assume u^2 + uv +v^2 is divisible by 9. Show that then u and v are divisible by 3. (please do this by contrapositive).

*Please show work and explain*

Prove that a vector space V over a field F is isomorphic to the vector space L(F,V) of all linear maps from F to V.

Ascorbic asic (0.0100 M) was added to 10.0 mL of 0.0200 M Fe3+ at pH = 0.30, and the potential was monitored with Pt and saturated Ag/AgCl electrodes.

Dehydroascorbic acid + 2H⁺ + 2e^- --> ascorbic acid + H₂O (E^o = 0.390 V)

Using E^o = 0.767 V for the Fe³⁺/Fe²⁺ couple, calculate the cell voltage when 5.0, 10.0, and 15.0 mL of ascorbic acid have been added.

Correct answers are: 0.570 V, 0.307 V, and 0.184 V but not sure how to get there

Problem 2.3 Suppose that we take the universal set U to be the integers. Let S be the even integers, letT be the integers that can be obtained by tripling any one integer and adding one to it, and let V be the set of numbers that are whole multiples of both two and three.

(i) Write S, T, and V using symbolic notation.

(ii) ComputeS∩T, S∩V andT∩V and give symbolic representations that do not use the symbols S, T, or V on the right-hand side of the equals sign.

Some reasons firms internationalize are ___________

I. Narcissistic CEOs
II. Trade barriers
III. Imperfect Labor Markets
IV. Intangible Assets
V. Vertical Integration
VI. Product Life Cycle
VII. Ethnocentrism

Group of answer choices

A)I, II, III, V, VI

B)II, III, IV, V, VI

C)I, II, III, IV, V, VI, VII

D)II, III, IV, V, VI, VII

E)I, II, III, IV only

Consider a particle with initial velocity v? that has magnitude 12.0 m/s and is directed 60.0 degrees above the negative x axis.

A) What is the x component v? x of v? ? (Answer in m/s)

B) What is the y component v? y of v? ? (Answer in m/s)

C) Now, consider this applet. Two balls are simultaneously dropped from a height of 5.0 m.How long tg does it take for the balls to reach the ground? Use 10 m/s2 for the magnitude of the acceleration due to gravity.

Vitaceae - detail description of species (plant), including flower, leaf stem, fruit, habitat, etc. Thank you.

Family: Vitaceae

Species: Vitis aestivalis × V. riparia = V. ×slavinii Rehder

Common Name:Slavin’s grape

Family: Vitaceae

Species: Vitis labrusca × V. riparia = V. ×novae-angliae Fernald

Common Name:New England grape

What is Cramer's V for each of the following values for the chi-square test for independence? (Round your answers to two decimal places.)

(a) X2 = 7.95, n = 130, df smaller = 2 V =

(b) X2 = 4.14, n = 60, df smaller = 1 V =

(c) X2 = 12.66, n = 190, df smaller = 3 V =