Mathematics Questions and Answers October 04, 2020

Theorem 1 If A be any given square matrix of order n then A adj A adj A A A I where I is the identity matrix of order n Verification a13 a23 931 932 933 Since sum of product of elements of a row or a column with corresponding cofactors is equal to A and otherwise zero we have Let 911 912 A 9 1 922 A adj A Let 2 A11 A21 A31 then adj A A12 A22 A32

Use perturbation theory to find the real root of the polynomial equation:x^3+x-1=0

Use perturbation theory to find the real root of the polynomial equation xA3x1O

n ABC N is the incenter NE 8x 9 and ND 3x 6 Which of the measures are possible lengths of NG

3 5 Similar Triangles 3 Save for the variable Show Your work 2x 10 DO 6 15 14 10 8 DO 20 4x 3 Nome 3x 3 3 2x 12

Use Fleury s Algorithm to find an Euler path CDDB A BECA C There are several Euler paths Choose the correct answer below OA AC A B C D D B E C OB CA B D D C E OC AC A B C D D B E C A E D WWW

Write the slope intercept form of the equation of each line 9 4x 7y 7 4 A y x 1 C y x 1 B y x 1 D y x 7 10 10 3x 5y 30 3 A y 6x 5 3 5 B y 6x C y x 6 5 D y x 6

Find the exact value of tan Choose the correct answer below OA 3 3 3 OB 2 3 OC 0 OD 3 OE 1 OF Undefined

sume that an economy is based on two industrial sectors agriculture A and energy E The technology matrix Mi A E 1 A E 0 6 0 1 0 2 0 4 M ow much input from A and E are required to produce a dollar s worth of output for A he input from A required to produce a dollar s worth of output for A is he input from E required to produce a dollar s worth of

2 Lisa has a bag containing 60 potato chips She eats 80 of the chips and saves the rest for later How many potato chips are left

1 Describe the domain of the following functions Show all work a f x c E x e R x X g T x 1 1 2 x x 2 2t 1 et sin x b S x d C x f L x h N x 2 x x cos x log x x 2x 4 x In x 1

What is the greatest common factor of 15 and 30 me GCF of 15 and 30 is

What is the greatest common facor of 15 and 30 GCF of 15 and 30 is

uses the sample from the entire population through a randomization technique O Stratified Random Sampling O Simple random sampling O Systematic sampling O Cluster sampling QUESTION 10 Each student at a school has a student identification number Counselors have a computer generate 50 random identification numbers and those students are asked to

Few companies take the time to estimate the value of a good customer and often spend little effort to keep one Suppose that a customer at a restaurant spends on average R per visit and comes F times each 1 year for example if a customer purchases once every two years then F 0 5 The restaurant realizes a gross profit margin of M expressed as a

Analyze the polynomial function f x x 2x 3x Answer parts a through e Hint First factor the polynomial The y intercept is 0 Type an integer or a simplified fraction c Determine the zeros of the function and their multiplicity Use this information to determine whether the graph crosses or touches the x axis at each x intercept The zero s of f is are

2 Solve the triangle by finding all missing sides and angles Round all values to the nearest hundredth 6 T 117 N

1 4 1 Graph and label on the grid the vectors 17 0 217 and it 0 E CE 2 Determine each of the following Give answers correct to three decimal places Component form of 2u 3v Component form of v Magnitude of u Direction angle of u 4 Angle between i and v Magnitude of 7 Direction angle of v

In 8 use the figure to label the given angles then find the indicated angle s Drawing is not to scale 8 Ifm AEB 38 m CEB 67 m CED 42 Then m BED and m AED A B D

Matthew constructs a fence around a patch of grass in his backyard The patch has a width that is 8 feet more than 4 times the length What is the perimeter of the fence if Matthew s patch of grass has an area of 5 472 square feet A 364 feet B 376 feet C 396 feet D 400 feet

Werts a function g whose graph represents a translation 2 units down and 3 units to the right of the graph of f gla

E ev Determine the amplitude period and phase shift of the following trigonometric equation Sy cos 2mx 8 Answer 2 Points Selecting an option will display any text boxes necessary to complete your answer Amplitude Phase Shift O no phase shift Oshifted to the right Oshifted to the left Period

4 For the function H x x 2 a graph the rational function using transformations b use the final graph to find the domain and range and c use the final graph to list any vertical horizontal or oblique asymptotes G b What is the domain of the given function Select the correct choice below and if necessary fill in the answer box to complete your

What is the scale factor for this dilation O A OB 1 1 20 1 O C D y 2 9 8 7 6 5 4 3 2 In the dilation shown above the dark colored figure represents the original image and the light colored figure represents the resulting image 0 1 2 3 4 5 6 7 8 9 X

9 Suppose a b means ab a b For example 3 5 3 5 3 5 17 Now if 4 x 36 then what number is x If you can find the answer show how you found it

Solution Job 1 2 7 8 2 3 3 5 5 8 6 7 4 5 2 4 1 6 The various paths are 1 2 1 6 2 3 2 4 TE 1 2 3 3 5 4 5 6 7 5 8 7 8 3 TD Tp 4Tm The critical path is 1 2 3 5 8 The project duration is 36 days Variance of the critical path 4 16 4 1 25 6 42 6 7 108 6 18 84 6 14 66 6 11 24 6 4 66 6 11 42 6 7 30 6 5 36 6 6 3 2 6 2 5 3 1 2 3 5 8 1 2 4 5 8 1 6 7 8 3 1 4

10 Use the diagram to the right to find the total height of the flagpole 5 5 ft 23 30 ft Will

Given right triangle ABC shown below do the following a Measure the three side lengths to the nearest millimeter AB BC sin A b Based on your measurements in a state the value of each of the following in decimal form Round to the nearest thousandth cos A AC c Given the partial table of trigonometric values shown below which angle in the table is

10 Select the two pairs of numbers in which the digit 5 in the first number has a value that is the value of the 10 digit 5 in the second number A 4 651 and 2 735 B 8 275 and 3 518 2 596 and 5 692 21145 and 4351

jonometry Spring 2023 Sp23 MATH 1106 90 Tri 1 Points DETAILS Plot the point that has the given polar coordinates 47 7 3 2 Assignment 9 Polar Expressions Trigonometry S nomepage Nalbar Goney 0

Use the diagram to answer the follow As shown in the diagram mAB 30 a 110 C A 40 What is the measure of ZE B 30 30 C 15 B

This means that rate of change of P with respect to x depends on the quantity s b which is the difference of selling price and the variable cost of each product Thus in order to gain profit this should be positive and to get large gains we need to produce large quantity of the product and at the same time try to reduce the variable cost Example 7

Convert the following degree measure to radian measure 90 Question 5 3 1 11 HW Score 0 0 of 28 points Points 0 of 1 90 radians Simplify your answer Type an integer or a fraction

K In February a maj a A writer plans to on time b Discuss how re

In February, a ma a. A writer plans t time b Discuss how

What should be the missing entry in the truth table of the compound proposition to conclude that it is a tautology

C u 10 Given the vector space V spanning set of V A 8 B 5 span 7 1 2 8 1 1 Find x R such that M 48 6 6 2 4 x is a C 7 D 6

Find the product of the polynomials 3 y 8y 7 7y 3 y 8y 7 7y Simplify your answer

Find the product of the polynomials. (Simpli Vour answer

Baby Zia has 10 less than 9 times as many toys as Baby Zion Together Baby Zia and Baby Zion have 180 toys How many toys does Baby Zia have

9 Solve for the each length Round to the nearest tenth when needed P 6 a QP S 30 R bQS c QR

Total number of drivers 1700 To find 99 Confidence interval for the population meam of drivers that has received at least 1 ticket Solution It is given that 33 Hence P 0 33 The CI we know that CI P Zx 1 P Now Substitude values in above furmula GI 0 33 2 576 0 33 1 0 33 1700 CI survey is of 1700 drivers hence n 1700 drivers have received ticke 0 33

Find the surface area and Volume of the right triangular prism 16 cm 12 cm Surface area 20 cm 10 cm

Find the area of the indicated sector 30 18 mi 49 mi 4 27 mi 11 mi 3 2023T 2023 mi 12

6 Sam spent 30 minutes studying for his Math test 15 minutes studying for a Reading test 45 minutes studying for a Science test and 20 minutes studying for an English test What percentage of her study time was spent on Reading

d 6 Determine the intercepts of the line 8 14 y intercept x intercept h 0 6 0 4 y d vsq 0 4 0 2 0 2 0 2 0 6 0 8 012 vbne x yd ben SW Siqueini 101001

25 A student is working on a short story and their teacher wants them to incorporate more descriptive language How could you help them improve the sentence The sun was hot OA Explain the difference in showing and telling ask open ended questions to prompt the student to use more descriptive language OB Explain that the student should only write

Given the triangle below find the measure of angle A Picture is not drawn to scale A 13 20 A 24 Q degrees Give your answer accurate to at least one decimal place

From A to B a private plane flies 2 9 hours at 110 mph on a bearing of 69 It turns at point B and continue another 2 1 hours at the same speed but on a bearing of 159 to point C Round each answer to three decimal places At the end of this time how far is the plane from its starting point On what bearing is the plane from its original location

cos sin 0 cos e Rewrite sine and or cosine cos 0 sin e sin e cos 8 sin e cos 0 sin e cos e sin 0 over a common denominator Type your answer in terms www Simplify your answer

A side of the triangle below has been extended to form an exterior angle of 163 Find the value of x X 163 115

Listen Classify each angle pair as corresponding alternate interior alternate exterior or consecutive interior angles 1 2 3 4 910 1112 56 78 13 14 15 16 Corresponding angles Alternate interior angles Alternate exterio

Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel given the following points A 2 1 B 1 3 C 6 5 D 7 1

The value V of an item after t years is given by the following formula assuming linear depreciation V C Crt where C is the original cost and r is the rate of depreciation expressed as a decimal If you buy a car for 7830 and it depreciates linearly at a rate of 17 per year what will be its value after 9 months Round your answer to the neares

2 1 ol On solving the lines we get S R points S 2 k k R k k Two lines intersect at Q 1 1 1 2 ol Solutions to IIT JEE 2005 Mains Paper Memory based Mathematics A line passes through the point P h k is parallel to the x axis It forms a triangle with the lines y x x y 2 of area 4h then find the locus of P 1 3 Area of the AQRS x2 k 1 QS QR SR 4h k 1

Watch help video Which system of equations has the same solution as 3x 3y 6 x 6y 32 6x 6y 6 3x 6y 12 x 6y 32 x 6y 32 6x 6y 12 6x 3y 12 x 6y 32 x 6y 32

Find the surface area and volume of the following solids 1 5 cm 6 cm 8 7 cm

Find the surface area and volume of the following solids. 8.7 cm

2 At Mumford High School the robotics team is holding a bake sale to help raise money for materials to build a new robot They use 35 of the money to pay back their members for the cost of baking the food and the rest of the money is kept by the team to build the robot If they sell 500 in baked goods how much money will the team keep to build the

Use a truth table to determine whether the statement is a tautology self contradiction or neither p q q Is the statement p q q a tautology self contradiction or neither O Self contradiction Neither O Tautology

an and Regression Quiz Describe the explained variation about a regression line in words and in symbols x 81 x y y y Question 4 of 16 This question 1 point s poss Choose the correct answer below OA The explained variation is the sum of the squares of the differences between the y values of each ordered pair and the mean of the y values of the

Sales of SUVS sport utility vehicles in the United States in millions for the years 1990 1999 can be modeled by the quadratic equation shown below y 0 016x 0 124x 0 787 Here x 0 represents 1990 x 1 represents 1991 and so on Use the model to approximate sales in 1998 Sales in 1998 were approximately million SUVS Round to the nearest tenth as needed

2 Let f x x3 6x2 11x 6 1 a Find the Secant formula p k 1 g pk 1 pk b Start with p0 2 5 and p1 3 5 find p2 p3 and p4 c Determine the relative error at each iteration

Write the expression in power form ax for numbers a and 6 V8x5 2 216 5 8x

Write the expression in power form axb for numbers a and 216

The angle between 0 and 360 and is coterminal with a standard position angle measuring 2093 angle t degrees

The a between O and 360 and is coterminal with a standard position angle measuring 2093 angle degrees.

Find the area of the circle Leave your answer in terms of 4 1 m 2 4 2025 m 8 405 m O 11 2 m 16 81 m

0 1 pt 398 Details A point on the x axis that is equidistant from the points 10 9 and 6 10 is

SELECTING TEST SUBJECTS IN A PSYCHOLOGY RESEARCH LABORATORY ONE ROOM CONTAINS EIGHT MEN AND ANOTHER ROOM CONTAINS FIVE WOMEN THREE MEN AND TWO WOMEN ARE TO BE SELECTED AT RANDOM TO BE GIVEN A PSYCHOLOGICAL TEST HOW MANY DIFFERENT COMBINATIONS OF THESE PEOLE ARE POSSIBLE

3 2 Score 0 14 0 7 answered Question 3 I For the following exercise solve the radical equation Be sure to check all solutions to eliminate extraneous solutions x 7 2 Question Help VIDEO OPost to forum

ework Represent the map to the right as a graph Use the abbreviatio Determine whether the graph in part a has an Euler circuit I a Choose the correct answer below OA MT ID WY b OR

nework Suppose that the pairwise comparison method Num is used on the following preference table If the First five voters who voted A C B D in that order Seco change their votes to C D A B is the monotonicity criterion satisfied Explain Thir Fou Choose the correct answer below

The Guitar Shoppe bought 7 sets of bongo drums and 8 guitars for 2977 90 The guitars cost 292 apiece Find the cost for a set of bongo drums A set of bongo drums costs

In an auditorium with 500 people one person will be chosen to win a 100 gift card The rest of the people will receive a 0 25 key chain What is the probability that you will be chosen to win the gift card What is the probability that you will receive a key chain Find the expected value QUESTION 2 A spinner has four sections each with different

Dollars The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars Use the information in the figure to answer the question 3500 3000 2500 2000 1500 1000 500 400 600 200 800 Binoculars Produced and Sold R x 3x 2700 binoculars 750 binoculars O1500 binoculars 2250 binoculars C x 1500 x Break

bonding Go to slides 16 30 in the link provided in this assignment to complete the following table Name 1 Sulur Trioxide 2 Dichlorine Heptaoxide 3 Oxygen Difluoride 4 Dinitrgoen Tetroxide 5 Phosphorus Pentachioride 6 Dinitrogen monoxide 7 Carbon Monoxide 8 Sulfur Hexachloride 9 Dinitrogen Trisulfide 10 Carbon Tetrachloride 11 Monoarsenic Tridodide

5 Given isosceles ANGI with legs HI and GI and median IJ find the mzHIJ 20 degrees 40 degrees 70 degrees 140 degrees

5 Distance miles 0 10 9 8 765 3 1 3 ate 2 3 19 Gulliver s Travels 4 5 6 Time hours 7 endent 8 9 10 read as 711 The function d represents Gulliver s distance from home after t hours 1 Use the graph to evaluate the function at each value Explain what each means in terms of the problem a d 2 4 b d 5 11 c d 2 9 4 d d 10 2 Calculate the value of t that

K Use the unit circle shown here to solve the trigonometric equation Solve over 0 2x COS X Question 1 6 2 1 1 HW Score 0 0 of 15 points O Points 0 of 1 The solution set is Type an exact answer using as needed Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed 1 0 1 2 135 150 7210 225 241 0 1

and m P 72 x then the value of x determine I P Q

and mLP 72 x, then determine the value of x.

Graph the following function using a graphing utility then use the minimum feature to obtain the minimum value 19 X f x x 1 X 0 Which graph shown below is the graph of f x as displayed on a graphing utility All four graphs use the limits 0 6 1 by 0 30 5 O A Q O B Q O C O D Q Q

3 Find PR RM Round to 4 decimal places P 54

PR 3. Find Round to 4 decimal places. 540

5 r P A 10 cm 7 2 cm 6 18 m 7m X 4cm 8 cm x P A 12m 4 5 m

6 16 x y 6 Ne fo taxt XESCH SE Im

Match the value with the correct name it represents Use the formula 18668 38 200 1 0 03 12 7 12 1 0 03 12 0 03 18668 38 200 12 7 a the number of years of the investment b the payment c the future value d the number of compoundings per year e the annual interest rate

e 5 Rewrite the equation of the given function in graphing form State the vertex a f x x 4x 6 b c f x x 4x 1 g x 2x 8x 7 d f h x 3x 18x 23 g x x 2 x 4 f x 2 x 3 x 4

If tan A 5 12 with A in QIII find sec 2A Draw a diagram of angle A and 2A

Use transformations of f x x to graph the following function h x x 4 6 Use the graphing tool to graph the function Click to enlarge graph 10 6 4 2 10 8 6 4 NO 2 4

4 Dana Bill and Rodrigo are given the following information about ATEA m T 71 TA 8 mZE 35 They are asked to determine the number of triangles that can be formed using these conditions and give a reason for their answer Dana says that two triangles are possible because ATEA is an acute triangle Bill says that only one triangle is possible because

Which function displays this end behavior As x approaches negative infinity y approaches negative infinity As x approaches positive infinity y approaches negative infinity O A y 5 B y 2r 1 y 3x 4 D y 2x 7 O c

4 Freshmen and seniors at Southland get out at 3 50 There are 180 freshmen and 100 seniors One day 60 of the freshmen and 80 of the seniors leave the building right away at dismissal How many freshmen and seniors are staying after for an activity in total

Given use the reduced row echelon form above to solve the system f necessary parametrize your answer using the free variables of the system 1 8 0 0 1 1 1 2 ON 0 0 0 x 2z x y 2z 1 0 2 2 0 1 4 5 00 0 0 0 2

Find the mass of the ball of radius 2 centered at the origin with a density f p q 0 4e p The mass is Type an exact answer using as needed

Determine the additive inverse of 462 What is the additive inverse of 462

Determine the additive inverse of 4 What is the additive inverse of 462

Simplify 2x y 3 2x 1y O 2x O 2x y O 4x y An 2

Simplify 2x Y 0 22y

3 In DEF EG 9 andFO 5 Find DG 6 Find the value of if the altitude bisects the base of the triangle 7 Solve for x 8 Find the value of x 9 find the value of x 10 In the figure below DG EF DF EG 2FDG 30 and EG 8 What is the length of DG 3 pts J G Cham in the below DG EF OF EQ FOG 10 ant EG What is the length w DS 3

Solve the triangle with the given measures a a 3 4in b 2 6in and C 48 b a 6 b 8 c 10

Convert the equation x 1 to polar form Then solve the resulting equation for r r 0 6 3 8 0 0 3 C sin

Given the circle below with chords LM and NO Find the length of NP Round to the nearest tenth if necessary L 20 N P 22 9 M

t View History g 2023 Sp23 MAT ts DETAILS 10 Bookmarks Window Help a graph of the polar equation r 6 5 Assignment 9 Polar Expressions Tri R 2 10 5 5 10 0 webass Homepage N ical College Homepage Northlar 10 5

A brewery produces regular beer and a lower carbohydrate light beer Steady customers of the brewery buy 11 units of regular beer and 15 units of light beer monthly While setting up the brewery to produce the beers the management decides to produce extra beer beyond that needed to satisfy customers The cost per unit of regular beer is 29 000 and

Determine the domain of the following graph 249 900 12 Y 11 10 8 7654325 1 12 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 c c i i n cho n 3 4 5 6 7 9 10 11

1 2 3 here to search 3 9x 4y5 16 A B 5 A D 3 4 C 4 A 5 6 4 2 3x 3 A A zoom in 7 8

There were 20 participants in a recent study on personality traits After being shown four images 1 2 3 and 4 each participant selected the one that was most appealing to them a The image each participant selected appears below Complete the frequency distribution for the data Image 142 4 3 3 4 1 4 2 2 3 2 3 1 4 1 4 2 1 Trait Optimistic Indecisive

O Macmillan Learning If x 5 and x 8 are zeros of a quadratic function with leading coefficient 3 then the quadratic function factors as Enter the answer in factored form f x

8 Express the quadratic in vertex form y x 20 9x

8.) Express the quadratic in vertex form y xz 20 9x