A stock has the following stock information:

What is the arithmetic average of this stock?

Since there are so many abuses and dangers on the Internet, should it be regulated and if so by whom? Check out the recent Russian interference in the 2016 election and the recent Facebook debacle.

A fluid has velocity components of u=(8t2)m/s and v=(8y+3x)m/s, where x and y are in meters and t is in seconds.

Part A

Determine the magnitude of the velocity of a particle passing through point (1 m, 1 m) when t = 2 s.

V=

Part B

Determine the direction of the velocity of a particle passing through point (1 m, 1 m) when t = 2 s.

θv=

Part C

Determine the magnitude of the acceleration of a particle passing through point (1 m, 1 m) when t = 2 s.

a=

Part D

Determine the direction of the acceleration of a particle passing through point (1 m, 1 m) when t = 2 s.

θa=

. Let T : R n → R m be a linear transformation and A the standard matrix of T. (a) Let BN = {~v1, . . . , ~vr} be a basis for ker(T) (i.e. Null(A)). We extend BN to a basis for R n and denote it by B = {~v1, . . . , ~vr, ~ur+1, . . . , ~un}. Show the set BR = {T( r~u +1), . . . , T( ~un)} is a basis for range(T) (i.e. col(A)). Conclude that dim(col(A)) = n − dim(Null(A)). (b) Show that row(A) = Null(A) ⊥ (i.e. ker(T) ⊥). (c) We have established that for any subspace W of R n (or of any finite dimensional vector space V ), dim(W) + dim(W⊥) = dim(R n ) = n (or dim(W)+dim(W⊥) = dim(V )). Conclude that dim(col(A)) = dim(row(A)).

DATA SHEET

CALCULATIONS AND RESULTS

1. number of moles of KHP: n = mass KHP x (1 / 204 g/mol)

n ₁   = ______________        n₂   =_____________        n₃   =___________________

2. number of moles of NaOH = number of moles of KHP

n ₁   = __________________        n₂ =___________________       n₃   =______________________

3. Volume of NaOH used in each titration = final volume of NaOH - initial volume of NaOH

V ₁ =   _________________        V₂  =___________________        V₃   =_______________________

4. Molarity of NaOH solution = n/V

M ₁ =   _________________        M₂ =___________________       M₃   =______________________

2. Average molarity of NaOH:

M = (M₁ + M₂ + M₃) / 3 = ________________________________________

A professor tests whether the loudness of noise during an exam (low, medium, and high) is independent of exam grades (pass, fail). The following table shows the observed frequencies for this test. Noise Level Low Medium High Exam Pass 21 17 8 46 Fail 8 6 10 24 29 23 18 N = 70 (a) Conduct a chi-square test for independence at a 0.05 level of significance. (Round your answer to two decimal places.) $ \chi_{obt}^2 $ = Decide whether to retain or reject the null hypothesis. Retain the null hypothesis. Reject the null hypothesis. Correct: Your answer is correct. (b) Compute effect size using Cramer's V. (Round your answer to two decimal places.) V =

Problem 3: A capacitor of capacitance C = 2 μF has been charged so that the potential difference between its plates is V0 = 85 V. The capacitor is then connected to a resistor of resistance R = 5.5 kΩ. The switch S is closed, and the capacitor begins to discharge. C = 2 μF V0 = 85 V R = 5.5 kΩ Calculate the time constant τ of the circuit in seconds. Calculate the charge Q0 on the capacitor before the switch is closed, in coulombs. Calculate the current I0 immediately after the switch is closed, in amperes. Calculate the potential difference VC in volts between the capacitor plates at time t = 5.0 ms after the switch is closed. Calculate the time T in s after which the charge on the capacitor has decreased to one fourth its maximum value.

Lionel's W-2 Forms

Form W-2 DescriptionForm W-2 Box #AmountEmployer A
Medicare wages and tipsBox 5119,000.00Employer A
Medicare tax withheldBox 61,725.50Employer B
Medicare wages and tipsBox 570,000.00Employer B
Medicare tax withheldBox 61,015.00

Complete Parts I, II, IV and V of Form 8959 using the case information provided above.

Submit the completed tax form