Complex numbers Questions and Answers

When a diabetic takes long acting insulin the insulin reaches its peak effect on the blood sugar level in about three hours This effect remains fairly constant for 5 hours then declines and is very low until the next injection In a typical patient the level of insulin might be modeled by the following function where f t represents the blood sugar level at time t hours after the time of the injection f t d Sugar Level mg dL 250 40t 100 220 a Graph the function 200 80t 860 60 if 0 t 3 if 3 t 8 if 8 t 10 if 10 t 24

Which of the following values for x are solutions to the equation 2x 10 Select TWO that apply A 0 1 3i 1 3i 1 10i 1 10i B O

What is O an equivalent form of 6 2i D 32 24i 40 241

ne complex number 7 9i represents which radical expressions below A 7 3 7 9 7 9 D 7 81 B

200 21 6i 5 11i 0000 C OD 16 17 16 5i 26 27i 27 6i

Write the linear function f such that it has the indicated values f 6 8 f 3 8 O 172 11 11 O 14 y x O 11 89 x 09 y 14 7 y 1065x 560 9 3 9 y c 16 y 16 9 37 8 X 1 8 3 TAO At

Convert the Hindu Arabic numeral to Roman form 15 619 Choose the correct answer below OA XVDCXIX B XMMMMMDCXIX OC XVDCXVIIII OD XVLCXIX

Write the numeral below as a Roman numeral 3377 Choose the correct answer below O A VICCCLXXVII OB VCCCLXXVII OC MMMCCCLXXVII OD MCCCLXXVII T V 1 5 X 10 L 50 10

A m Line w is steeper than Line B m 3 N A 0

Question Help Deb is searching online for airline tickets Two weeks ago the cost to fly from Boston to Orlando was 250 Now the cost is 355 What is the percent increase What would be the percent increase if the airline charges an additional 50 baggage fee with the new ticket price The percent increase of the airline ticket is 100 Round to the nearest percent as needed

The ving is a solution to the equation below 3 2x 64 x 61 3 A 5 B C D 5 5i 3 2 5 5 3 2 5 5i 3 2 a lake house the mall a carnival a parade Gina Wilson All Things Algebra LLC 2017

A town s population has been growing linearly In 2003 the population was 46 000 The population has been growing by 700 people each year Write an equation for the population P x years after 2003 P Use the formula to find the population in 2009

19 M k A B 14 M 2 2 2 3 m a The graph above shows the function f x The graph below shows g x 7 3 N P T 7 2 3 4 f n 16 g x is a transformation of f x g x Af Br where

The drawings show three charges that have the same magnitude but may have different signs In all cases the distance d between the charges is the same The magnitude of the charges is lal 9 3 C and the distance between them is d 6 7 mm Determine the magnitude of the net force on charge 2 for each of the three drawings a F i b F i c F i q 2 a d q 3 1 b 3 q 1 d c 21 q

1 Solve the equation 12 12 1 2x12 3x 2x 3x 12 12 Ius Tho Linear

explain or show your reasoning 1 If we graph the equation what is the slope of the graph 1

For 17 and 18 match the description of the situation with one of the graphs b y 200 150 100 50 40 30 20 10 2 4 6 8 2 2 4 6 8 10 c 24 18 12 6 2 4 68 17 A person is paying 20 per week to a friend to repay a 200 loan 18 A computer that was purchased for 750 depreciates 100 per year X d y 800 600 400 200 1 2 4 6 8

2 a m 0 3 b m 4 c m 1 L Find the slope and y intercept if possible of the equation of the line Sketch the line 3 7x 6y 30 4 y 3 0 5 x 5 0 L3 L2

Alisha wants to enlarge a photograph to make into a poster for her room The photograph is 6 inches tail The poster will be created using a scale of 4 5 inches 2 inches How tall will the poster be

For any positive integer n let S 0 0 R be defined by 1 1 k K where for any x R is are TRUE A S 0 x TU 2 tan 1 n S x C cot x 0 and tan x 1 11x 10x C The equation S x R 4 TC cot 1 2 for all x 0 1 k k 1 x has a root in 0 00 TU TU 2 2 Then which of the following statemen B lim cot S x x for all x 0 n 1 D tan S x for all n 1 and x 0 2

Q 12 For nonnegative integers s and r let if r s S 3 Sol s r s r 0 if r s For positive integers m and n let m nf m n p n p g m n p 0 where for any nonnegative integer p p n f m n p m n 1 P i 0 Then which of the following statements is are TRUE A g m n g n m for all positive integers m n B g m n 1 g m 1 n for all positive integers m C g 2m 2n 2g m n for all positive integers m n D g 2m 2n g m n for all positive integers m n A B D P

1 For the linear function g x 7x 2 which of the following is true y mx b 1 It has a slope of 7 and a y intercept of 2 2 It has a slope of 2 and a y intercept of 7 3 It has a slope of 7x and a y intercept of 2 4 It has a slope of 2 and a y intercept of 7x 3 2 Which of the following represents the average rate of change of the function g x x 1 over the 2 x 8 1 9 554 1 y 2x 4 3 3 What is the equation of the line shown in the graph below 3 y x 2 2 y 2x 2 4 4 y x 4 2

Simplify the expression to a bi form 6 10i 10 i

ermediate step in the form x a 2 square for the following equation x 2 8x 65

estion 49 of 60 Why does TREC insist that brokerages provide and display information about brokerage services offered in Texas even if a specific brokerage does NOT offer a those services OA Because brokerage services is a list of fees TREC feels consumers should understand what they are being billed for OB TREC believes consumers should understand the basics of agency law and fair housing requirements and understand that license holders will not abrogate those principles OC TREC allows brokers to provide brokerage service information to consumers so that consumers can decide who they want to do business with OD None of these Question ID 88285

Question 54 of 60 Which of the following would likely be considered a fixture included in the sale OA Persian rugs on hardwood floors OB Plush wall to wall carpeting in a living room OC A large mirror hanging on a wall OD Matching Tiffany shades on light fixtures

At Question 56 of 60 Which act extended full citizenship and civil rights to African Americans OA The Glass Steagall Act OB The Dred Scott decision OC The Emancipation Proclamation OD The 14th Amendment

t When a four acre piece of property is offered at 3 per square foot what is the asking price OA 624 860 OB 522 720 OC 436 360 OD None of these

Question 29 of 60 Question ID Advertising apartments for rent must be done carefully to avoid suggestion that any class of individual is more welcome than others Which of the followin advertisements would be a violation of fair housing law OA Park trees and playgrounds across the street OB Kids OK OC Recreation center within walking distance OD Close to schools

Complete the following Powers of 3 table to prepare to solve the problem that follows Powers of 3 mple B 3 36 37 Solve 6 3 162 for x 6 3 162 6 3 162 3 3x 30 3 X 33 38 34 Original Equation Divide both sides by Solve 35 to isolate the power Simplify Rewrite the right hand side as a power of 3 Refer to the table above

you fimish the letters that rema 4 x 2 3 x 5 5 x 2 7x 10

Question 58 of 60 What important tasks must the closing agent complete in preparation for closing OA Prepare the deed and the Closing Disclosure OB Conduct a final inspection of the property OC Prepare the Loan Estimate and the deed D Prepare the deed and execute an affidavit of title

Question 52 of 60 Under the Deceptive Trade Practices Act DTPA in order for treble damages to be awarded a real estate professional must OA commit an act of omission B commit an unconscionable act C act knowingly OD commit an act of commission

Plot the point in a polar coordinate system 3 EN 2

All of the following are true about estates in real property EXCEPT OA freehold estates are estates of ownership OB leasehold estates are estates of possession OC they are created by a deed or a bill of sale OD they are created by a deed or a lease

Question 33 of 60 A property title free of defects is said to be OA legally sufficient OB marketable O C valid OD binding

Question 25 of 60 The buyer and the seller have agreed that the seller will remove a huge birdbath in the backyard before the buyer takes possession of the property This agreement should be h OA addressed in the sales contract B addressed in the inspection report C drafted in a letter by the seller and her agent and provided to the buyer OD discussed by the parties at the closing Question

Question 22 of 60 If a buyer defaults and the seller elects to retain the earnest money as liquidated damages the seller may sue for which of the following OA Further damages B Specific performance OC None of these D Compensatory damages

In the case of multiple offers being received the listing broker should OA first present the highest priced offer then the next highest priced offer and so on OB first present the offers produced in house OC present them as soon as possible in each case OD first present the offers produced by cooperating brokers

What is a fiduciary relationship OA The relationship between a broker and the Texas Real Estate Commission OB A relationship between a broker and a customer OC A relationship between a principal and an agent that involves trust and confidence OD A contractual relationship between a principal and an agent that requires valuable consideration to be paid

Flood insurance will cover damage to A lawns if there is an insured structure on the property even if the structure itself is not damaged O B farm equipment in a field if there is an insured structure on the property even if the structure itself is not damaged O C only structures OD livestock if there is an insured structure on the property even if the structure itself is not damaged

90 Why does the Texas Real Estate Commission approve or promulgate or both specific forms to be used in real estate transactions k OA Because lenders require transactions to be recorded via computer and computers cannot accommodate a wide variety of different answers OB So that it can collect a royalty each time a form is used OC Because the vast majority of real estate transactions are similar in nature and standardized forms can help protect all parties involved OD Because the federal Consumer Financial Protection Bureau has ordered TREC to provide forms

An agent s responsibility is OA only to the principal OB to the principal the customers and third parties OC only to the principal and customers OD only to principals and third parties

Question ID For a consideration of a specified amount of money a present owner agrees to give a prospective purchaser an irrevocable right to buy his real estate at a certain price within a limited period This is called OA a land contract OB an escrow contract OC an option contract OD an installment contract

A homestead may suffer forced sale for payment of mortgages where the loan proceeds were used to do which of the following OA All of these B Refinance the residence OC Improve the residence OD Purchase the residence

Persons who operate a business as co owners and share in the business s profits and losses form an association known as O A a sole proprietorship OB a partnership OC a corporation D a franchise

Notifications between the parties after the effective date of the contract OA may be made orally OB are none of these OC must be both of these OD must be in writing

Which action on the part of a real estate license holder does NOT violate antitrust laws OA Telling prospective clients that the commission rates charged by the broker are based on the services the broker offers to clients B Arranging with another brokerage firm for each office to operate exclusively in specific areas of the city OC Agreeing with another broker to deny access to listings to measured service brokers or discount brokers OD Telling prospective clients that the broker s commission rate is in line with others in the community

If Bill and John own adjacent properties and Bill gives John an easement to cross Bill s land to reach a main road Bill s property is OA the servient tenement OB none of these OC the adjacent tenement OD the dominant tenement

A public sale called a nonjudicial foreclosure sale is OA conducted under the supervision of a court OB a legal action instituted by a prosecutor OC a legal action instituted by a sheriff D not conducted under the supervision of any court