For a classroom demonstration, a professor built an RL circuit similar to the one shown in the figure, with e m f = 6.00 V, L = 5.80 mH, and R = 3.80 Ω.

A rectangular circuit contains a battery of emf ℰ on its left side, with the positive terminal above the negative terminal. An open switch S is on the top side, an inductor L is on the right side, and a resistor R is on the bottom side.

(a) What is the inductive time constant of the circuit (in ms)? _________________ms

(b) Calculate the current in the circuit (in A) 250 µs after the switch is closed. _________________A

(c) What is the value of the final steady-state current (in A)? A (d) After what time interval (in ms) does the current reach 80.0% of its maximum value? _____________ms

1) (justify) The less progressive the tax system, the: -

a) Weaker is the built-in stability for the economy

b) Greater is the built-in stability for the economy

c) Less is the effect of crowding-out on the economy

d) Greater is the severity of business fluctuations on the economy

2) (show working) If the price level is constant and the slope of the aggregate expenditure curve is 0.65, a decrease in investment of RM 100 leads to a decrease in real GDP of about -

a) RM65

b) RM154

c) RM100

d) RM286

3) [SHOW WORKING] If the price level is constant and the slope of the aggregate expenditure curve is 0.65, a decrease in investment of RM 100 leads to a decrease in real GDP of about -

a) RM65

b) RM154

c) RM100

d) RM286

The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y = 0.5 x ^2 and below the line y = 280 . (Here, distances are measured in meters.) The water level is 34 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure. (Water has a density of 1000 kg/ m^ 3 , and the acceleration of gravity is 9.8 m/ sec ^2 .)

Answer in Newtons and make sure that it is not in scientific notation. Check answer as last 5 have been wrong answers. Need detailed steps also

An LC circuit is built with a 10 mH inductor and an 12.0 pF capacitor. The capacitor voltage has its maximum value of 40 V at t=0s.

Part A

How long is it until the capacitor is first fully discharged?

Express your answer with the appropriate units. (t=?)

Part B

What is the inductor current at that time?

Express your answer with the appropriate units.(I=?)

a. Built-in (or automatic) stabilizers work by changing ______ so that changes in GDP are reduced.

multiple choice 1

• government payouts and interest rates

• taxes and government payouts

• interest rates and investment

• wages and prices

b. What type of tax system would have the most built-in stability?

multiple choice 2

• A progressive tax because it increases at an increasing rate as incomes rise, thus having more of a dampening effect on rising (or falling) incomes.

• A regressive tax since it acts as a cushion on declining incomes—the tax bite is less, which leaves more of the lower income for spending.

• A proportional tax because individuals pay more in taxes if they have higher incomes, thus having more of a dampening effect on rising (or falling) incomes.

• A regressive tax because those with higher incomes pay a smaller proportion of their income in tax and thus can spend more.

Suppose the average size of a new house built in a certain county in 2006 was 2,273 square feet. A random sample of 30 new homes built in this county was selected in 2010. The average square footage was 2,185 with a sample standard deviation of 229 square feet.

a. Determine the null and alternative hypotheses. Choose the correct answer below.

A.

H0​: μ=2,273 and H1​:μ≠2,273

B.

H0​: μ≥2,273 and H1​: μ<2,273

C.

H0​: μ=2,273 and H1​: μ>2,273

D.

H0​: μ≠2,273 and H1​: μ=2,273

Determine the critical​ value(s).

The critical​ value(s) is(are) ____

​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

Determine the test​ statistic,

t Subscript x overbartx.

t Subscript x overbartx = _____

​(Round to two decimal places as​ needed.)

What conclusion should be​ drawn? Choose the correct answer below.

A. Reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006.

B. Do not reject the null hypothesis. The data do not provide sufficient evidence to conclude that the average house size has changed since 2006.

C. Do not reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006.

D. Reject the null hypothesis. The data provide sufficient evidence to conclude that the average house size has changed since 2006.

b. Use technology to determine the​ p-value for this test. What is the​ p-value?

​p-value = _____

​(Round to three decimal places as​ needed.)

Information about a pickling company is given below. (Pickling: A plot to be built is the name given to the stripping of vegetative or soft soil on a land to be filled, and the soil on the ore in open mining enterprises.)

Variable Expenses Electricity Expenses: 100 TL/m3 Diesel and Oil Expenses: 500 TL/m3 Tire and Spare Parts Expenses: 400 TL/m3 Explosive Expenses: 300 TL/m3 Other Variable Expenses: 200 TL/m3 Fixed costs Depreciation, insurance and interest expenses: 1.5 billion TL/year Compulsory labour and personnel expenses: 0.5 billion TL/year Other Fixed Expenses: 0.5 billion TL/year Revenue: 5000 TL/m3 Production Capacity is 2000000 m3 /year a) Find the breakeven point as the production amount? b) Find the amount of pickling that the company needs to make in order to make a profit of 3 billion TL/year.

A shopping center project is proposed to the city council. It cannot be built unless a zoning change is approved by the council. The planning board must first make a recommendation, for or against the zoning change, to the council.
Let A1 = city council approves the zoning change A2 = city council disapproves the change

The prior is: Pr(A1) = .7,   Pr(A2) = .3

Let B denote the event of a negative recommendation by the planning board.

Past history with the planning board and the city council indicates the following

Pr(B|A1) = .2, Pr(B|A2) = .9

3. ____ The planning board has recommended against the zoning change. What is the posterior probability that the city council will approve the zoning change? a) 0.2 b) 0.22 c) 0.3 d) 0.34 e) 0.43


4. ____ You own a local store in the downtown of the city. If the shopping center project is not allowed, your revenue will be $3,000. If allowed, your revenue will be $1,000. The cost of operation is $2,000. Then, you will choose to ______ because your expected profit (or loss if you choose to exit) is ____.

a) Stay, $140 b) Stay, $320 c) Stay, $400 d) Exit, $140 e) Exit, $320

Suppose the average size of a new house built in a certain county in 2014 was 2,273 square feet. A random sample of 25 new homes built in this county was selected in 2018. The average square footage was 2,194​, with a sample standard deviation of 226 square feet. Complete parts a and b.

a. Using α =0.02​, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since​ 2014?

Determine the null and alternative hypotheses.

H0​:μ ▼ greater than or equals ≥ not equals ≠ less than or equals ≤ equals =

H1​:μ ▼ less than < greater than > equals = not equals ≠ ​(Type integers or decimals. Do not​ round.)

Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice. ​(Round to three decimal places as​ needed.)

A. tα/2 equals =

B. tα equals =

C. −tα equals =

Calculate the appropriate test statistic.

t-x= ​(Round to two decimal places as​ needed.)

State the conclusion. ▼

Reject/Do not reject H0.

There ▼ is/is not sufficient evidence to conclude that the average house size of a new home in the county has ▼ increased/stayed the same/changed/decreased since 2014.

b. Determine the precise​ p-value for this test using Excel.

The​ p-value is . ​(Round to three decimal places as​ needed.)