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mathematics
march 2018
4

Mathematics Questions and Answers March 4, 2018

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The cost to rent a car at one agency is $24.50 per day an additional $15.99 fee for insurance. At a different agency, the cost to rent a car is $27.50 per day, but the insurance is only an additional 3.99 fee. Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies? The cost to rent a car

What is the shape of the two dimensional diagonal cross section of the cylinder? circle oval rectangle square Question 13 (1 point) Listen What is the shape of the two dimensional, vertical cross section of the rectangular pyramid? pentagon Otriangle rectangle hexagon

Katie pushes her boyfriend, Gabe, on an ice rink with a force of 30 N. The masses of Katie and Gabe are 60 kg and 90 kg, respectively. Calculate the acceleration of Katie and that of Gabe. (10 points) Hint: Review Sample Question 3 in the Unit II Lesson and Example 4 under Section 4.5 in the textbook

In the figure, m is parallel to n and The measure of 46 = m 44= 130. Find the measures of the other angles. m 4 t S 6

Question 8 1 1 Jim's car needs repairs. He's comparing the price of two local auto shops from estimates he receive from each of them. The rates of the cost to purchase parts (a one time fee) and the hourly labor are shown in the table below. Shop Part Cost Labor (per hour) Andy's Auto 550 65 Bill's Body Work 715 50 Which shop will have the best

|fa vector 5 has a magnitude of 6.3 and I; has a magnitude of 6.7 and the angle between them is approximately 136.2\

D | Q R N X K H| & H| & H A H | & H X H A H A H X H A H A H | & H A H A H | A H | X H A H A H K H K H K H K H X H G HG H + - X https://mylab.pearson.com/Student/PlayerTest.aspx?testld=245155317 ... MATO300COO Algebraic Literacy (Marget Kugler) FA22 Brandon Okamatsu 09/26/22 4:23 PM Test: Module 3 Exam (6.1 - 6.7) Question 19 of 25 This test: 25

You can download an offline GeoGebra Calculator at: https://www.geogebra.org/download 38. [-/0.31 Points] DETAILS SCOLALG7 2.5.049. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER The monthly cost of driving a car depends on the number of miles driven. Lynn found that In May her driving cost was $380 for 480 mi and in June her cost was $460 for

1. Evaluate the following. Write answers as fractions. a) (-4)3 b] -24 c) ( d) 5-2 e) (-12)0 f) 60 + 72 2. Simplify the following expressions, writing answer as a single positive power. (Do not evaluate) a) (93) (9) (92) b) (3 5) (32 ) d) (34) 5 f) ( 6-7) 3 3. Complete the table d values below for the relation y = 2.8*. Round answers to 2 decimal

The bounded solution of Laplace's equation Ur O outside the circle 7 = 3 which satisfies the boundary condition u(3, 0) - 3 + 2 sin( 40) - 3 cos(20) is u(r, 0) H r ? an cos(no) + bn sin( no) where Oa do - 6, 02 =1 81, an - bn -Ootherwise Obj do - 6, a2 2 - -27, b4 = 162, an - by = 0 otherwise Odao - 3, a2 -27, by - 162, an - by = 0 otherwise Od)

Fill in the blanks to make the statements true 8 = - Blank 1 Blank 2 9 Blank 3 125 = Blank 43 Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer Blank 4 Add your

solve each system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. 1 I- y 115:T. - 1= 14 7 -5x + 2y 1311 4x + 5y = :3r + 2y = - 19. -2x + 7y =2x - y = 25 4x + 4y = - 1\fc + 3y = 31. 3x + 9y =

How would you Factor x^2-25,3x^2-12x-15, andx^3+2x^2+3x+6 ? Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

The Chemistry Club is experimenting with different mixtures of water with a certain chemical (sodium polyacrylate) to make fake snow. To make each mixture, the students start with some amount of water, and then add17of that amount of the chemical, and then 9 more grams of the chemical. The chemical is expensive, so there can't be more than a

1. 9 pounds 8 oz = 2. 240 mcg = mg. 3. 0.075 mg = mcg 4. 2.275 mg = gms. 5. 3 ounces = ml (round to the nearest whole number) 6. 35 Kg = Ibs 7. 215 lbs = Kg- 8. 15 1b: 5 01 = 9. 2 top = ml 10. 0.75 gms = mg

Graph the exponential function. X f (xx) = Plot five points on the graph of the function. Then click on the graph-a-function button. 16- 14+ 12- 10- X 5 6- 4- 2- - B -6 -2 4 6

CONTINUOUS RANDOM VARIABLES 1. Mr. Jackson will announce the student he selected during today's Math Club meeting. The meeting starts at 11:30 a.m. and ends at noon. The exact time of the announcement will be completely random. Part A: Answer these questions about the announcement time.( 6 points : 2 points for each correct answer) Why is the time

Thank you for helping! Problem 5. (Exercises 1 and 2 from Lecture 3.2) Let V be a vector space and let U, W C V be subspaces. (a) Finish the proof of the Second Isomorphism Theorem from class by showing that UnW = ker(f) where f is the linear transformation W -> (U + W)/U sending ww+ U. (b) Use the Second Isomorphism Theorem to show that if U and

this is question 4. Find the determinant by row reduction to Echelon form: 3 9 6 -4 2 6 2

Name On Your Own Open Ended A grocery store charges $6 for every 2 boxes of a certa cereal. Complete the table of equivalent ratios. Boxes 2 Cost ($) A hotel advertises vacation packages on its website, and it charges the same amount per night. The table shows the total costs of stays for different numbers of nights. A. What is the unit rate per

TOPIC: GEOMETRIC DESIGN 1.In what ways can we utilize geometric and other mathematical patternsinenrichingPhilippinecultureandarts. 2.How do we apply math transformations in enhancing the Philippine culture andarts?

Solve and show all work please 5) What is the surface area of a right circular cone with radius 9 meters and slant height 15 meters. (4 points)

1. In a manufacturing process involving several machines, the average downtime t (in hours) for a machine that needs repair has a probability density function given below. f (t)= 0.5e - 0.5t, where t is greater thanor equal to 0 (please explain and elaborate well the derivation of the formula before answer letter a. ) a. Find the probability that

36. -7=14-7x 37. -5-7x=-5 38.5x - 2+ 3x +12=26 |39. 4x+6-x+13=55 40. 3x+13-2x-9=0

7. Find the determinants of the following matrices using Laplace Expansion. 3 (a) 4 1 2 (b) 3 6 2 0 1 O 00 CT (c) 0 4

Below is the graph of y = 2. Translate it to become the graph of y= 2** *+ 3 - 4. X

\f
$\f$

Problem 1 Find the domain of the following function: f(zr) = V1123 211:2 15:13 Problem 2 To treat arrhythmia (irregular heartbeat), a drug is fed intravenously into the bloodstream. Suppose that the concentration C in mg/ L of the drug after t hours is given by 6t 00:) = tIil The minimum therapeutic level is 1.5mg/ L. But a level of more than 5mg/

IIINIC ICIC in 14 If y = f(x) and y = vf(x) share the same domain, and the minimum y-value for y = (x) is 25, then the minimum y-value of y = f(x) is red ed out of Answer: lag stion Question 15 If 2f(0) = 72 , then the point (0,y) on the graph of y = f(x) has a y-value of Not yet answered Answer: Marked out of 1.00 Flag question Question 16

Suppose that H S G and that |Gi : an|, where n E N. (We know, by Lagrange's theorem, that there is such an 71.) Let 3: E G. Prove that there is some k E N with 1 S k g n such that 33k 6 H. (Hint: consider the left cosets sciI-I for 2' : 1, 2, . . . , 73.. Use the fact that there are precisely n distinct left cosets.)

Need help please Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why _ ABC = _ DEF? Check all that apply. AA A. HL B. HA O C. LA D. AAS O E. SAS OF. LL SUBMIT

A dental floss package you have contains 91.4 meters of cinnamon-flavored dental floss. You also have a small package of dental floss that you notice contains only 11 meters of floss. Let x be the difference in length for the two kinds. Write an equation and solve for x. 8. Arm & Hammer baking soda deodorant weighs 56.7 grams. Sure Clear Dry

4. Compose the numbers below. a. What number is equal to 4 hundreds + 3 tens + 7 ones + 6 hundredths + 8 thousandths? b. What number is equal to 280 tenths + 19 thousandths

The given equation has a solution r in the interval - 3 Srs -2. Approximate the solution correct to two decimal places. 4x3+ 3x - 9x +5=0 . .. 2.10 (Round to two decimal places as needed.)

college algebra Solve the given polynomial equation. Use the Rational Zero aid in obtaining the first root. x - 4X -63x -98x -40 = 0 The solution set of the equation x -ax - 63x - pex - no - de di (Simplify your answers, Type exact answers, using radicals as needed

5. Prove the Law of Cosines in the obtuse angle case. "Cosines" states that in triangle DEF, with "angle ( y )"=

Please show the work. SIMILARITIES AND TRANSFORMATIONS Rotating a figure about the origin Draw the following triangle after a 90 counterclockwise rotation about the origin. X 5

Quadrilateral HDWM is shown on the coordinate grid. H B. M W' -13 -12 -11 -10 - 9 10 19 12 13 K 1. Draw the quadrilateral that is the result of a translation right 8 units and up 3 units and then reflected across the y -axis. Label the new quadrilateral YBKT. Complete the table. Transformation Mapping Algebraic Description 2. Translation ( right 8

Tell what the output value is for the function machine for the given values. \fB C AMiscellaneous 19% Heating and air conditioning Refrigerator 42% 19% Water Stove heater 4% 11% Clothes dryer 5%

Please and thank you Part I ) Vertical Asymptotes Complete the following table, then graph the given functions. Rational Function x-intercept y-intercept Equation of Domain Sketch the graph Vertical Asymptote (interval notations) f ( x ) =- 1 X - 2 f ( x ) = x+3 (x - 3) (x+4) 10 8 -6

I need help with this problem in Cryptology please, and please make it legible I often can't read the handwriting. 1. Use the repeated squaring method to calculate each of the following (a) 3 MOD 12 (b) 1610 MOD 230 (c) 514 MOD 26 (d) 422 MOD 11 (e) 365 MOD 71

14 1 gal of KCI solution by mixing 565 g of KCI (valence = 1) in an appropriate vehicle. How many milliequivalents of K are in 15 mL of this solution? (atomic weights: K = 39; CI = 35.5) O 80.0 mEq O 65.0 mEq 30.0 mEq O 0.0 mEq Submit

12. Name two coplanar lines. Place the appropriate symbols over your answers, and 13. Name a line that is not contained in plane P. Place the appropriate symbol over your answer. 14. Name a ray that has U as its endpoint. Place the appropriate symbol over your answer O ACCESS Virtual Learning 2021

6. Find the formula of the ellipse with foci: (-5, 0), (5, 0) and vertices: (-8, 0), (8, 0) 7. Find the formula of the ellipse with foci: (-2, 0), (2, 0) and y-intercepts-3 and 3. 8. Follow the calculation demonstrated in the module to determine if this truck. 8 feet wide and 7 feet tall will pass through the center of the semielliptical tunnel,

Value engineering is a systematic and organized approach to providing the necessary functions in a project at the lowest cost. Value engineering promotes the substitution of materials and methods with less expensive alternatives, without sacrificing functionality. Value engineering is often broken into six steps or phases starting with generating

3. Problem 3 Chips USA is considering the following projects to improve its production process. Chips uses a three-year horizon for evaluation. (a) If Chips has a budget of $70,000, which projects should be done? (b) What is the opportunity cost of capital? Project Initial Cost Uniform Annual Benefit $25,000 $12,800 2 30,000 14,000 3 14,000 7,000

Consider the following system of two linear equations: 4y + x = 16 3x - 4y = 0 Select the graph that correctly displays this system of equations and point of inter

4. Let: q1 = +a uC , at the origin q2 = +buc , b meters to the right of the origin q3 = -abuC , a meters above g2 q4 = -b/a LLC , a meters above the origin where: a = number of letters in your family name b = number of letters in your given name Find the magnitude and direction of the total electric force and total electric field at q3

what is the conversation of 7kg into grams 7 ka gram

Prove the following identity: cos O sec 0-1 1 + cos 0 tan2 0

In the study of vacuum tubes, the equation y"+ (0.2) (y

D) Which expressions are equivalent to 4 ? Choose ALL that apply. 5y - 8 3y Ay - 8 5y + 8 3y + 8 + 2y 3y - 8+ 2y

Only Do Question #1 and #2 on the worksheet. Before you upload your file, ensure your name appears on the top of every page of your document. Keep a copy of your work on your hard drive. The worksheet "Percentiles" will provide an opportunity to practice the different aspects of percentiles. Be sure to show all of your steps. Start questions

2. Prove that lim Inga: = 00. 39-04" (Hint: How small does 3 have to be to guarantee that logs:

Question 11 The polynomial of degree 3, P(:), has a root of multiplicity 2 at 2 = 5 and a root of multiplicity 1 at I - - 1. The y-intercept is y = - 2.5. Find an equation for P(x). P(z) = Submit Question O FF DELL

3) Liquid weed killer is available in two sizes; 32oz cost $32.79 or 16oz for $20.38. Calculate the cost per ounce for each option to determine which is the better bargain. 217

If the distance from the center of dilation to one line is 9, and the distance from the center of dilation to a parallel line is 2.5, what scale factor should be used to map the first line onto the second?

what is the solution of each system of equations?show the work pls -6x - 5y =6 4x + y =3

All Calculations must be shown to earn full marks! Methods must be used when solving problems (specifically using matrices) Ann angles must be expressed in radian measure. Radical in the final answers must be reduced. Marks will be deducted. Marks will be deducted for not following these instructions. 2. For a linear transformation T: R* -> R*

the y-intercept and another... Write an equation of the line below. 0=0 X

1. (20 points) The intersection graph of a collection of sets A1, A2, . . . ,A7, is the graph that has a vertex for each of these sets and has an edge connecting the vertices repre- senting two sets if these sets have a nonempty intersection. Identify the intersection graph of these collections of sets (a)A :,,,,,:{01234}A2 {56,,78,,9}A3=

Graph the image of the given triangle after a rotation of 180 about the origin. Select the Polygon tool. Click the points of the triangle vertices to create the triangle by connecting the sides. Polygon + Move Undo Redo x Reset 10 y 9 8 TNW AM O N -10 -9 -8 -7 -6 -5 -4 -3 -2 -10 2 3 4 5 6 7 9 10

Question 9

When solving, please show each step in the simplest form Consider the system of ODEs from an LRC circuit. Solve the following Initial Value Problem, diz LR L- de + 12+ Rig = 40 dia 1 R- -12 = 0; with initial conditions iz (0) = 0 and i3 (0) = 0 dt where iz and is are the dependent variables which are functions of the independent variable t. The

3. (10 points) Provide the continued fraction representation of v3, in the following form: [a1, a2, a3, . ..], where number of terms might be finite or infinite. Using this representation justify that v3 is rational or justify that v3 is irrational. (HINT: Recall the Anthyphairesis Example over the regular pentagon on page 30 of the "Early Number
$3. (10 points) Provide the continued fraction$

If x In(x) is a solution of the equation X - xy' + ky = 0, x> where K is a constant, then k =

Page 1: Question 16 (4 points) 1 2 3 The following table represents Canada's population in specific years over the last century. 4 5 6 Year Population (thousands) 1911 7207 8 9 1921 8788 1931 10377 10 11 12 1941 V 11507 1951 14009 13 14 15 1961 18238 V 1971 21568 16 1981 24343 1991 27297 1. Determine the average rate of change between the Page 2:

Determine the amplitude or period as requested. Amplitude of y = - 4 sin x O A. 2T O B. 4 O C. - 4T OD. T

Solve. Select the correct choice below and fill in any answer boxes within your choice. In - 2 + 2 = 25 I I (9 A The solution set is D(Simplify your answer. Use a comma to separate answers as needed.) 0 B. The solution set is the empty set

Please answer all of 1 . Thanks 1. (8 marks) Consider the complex number Z = cos(7) + i sin(7) where trig arguments are in degrees. (a) (3 mark) Calculate z30. Write your answer in its simplest form. [Evaluate the trig functions.] (b) (2 mark) What is the product of z' and its conjugate? (c) (3 marks) Find the smallest positive integer solution n

Graph the compound inequality on the number line. x 1 -10 9 8 -7 6 5 4 3 2 86 15 6 78 9 10

A video tracking device recorded the height, h, in metres, of a baseball after it was hit. The data collected can be modelled by the relation h= -5(t-2) 2 +21, where t is the time in seconds after the ball was hit. a) What was the maximum height reached by the baseball, and when did it reach its maximum height? b) Approximately when did the

The graph of f(x) is shown. 1.5- 10 5 0 5 For what values of x does f(x) = 0

Find the slope of the line that goes through the points (6,2) and (13,14) A city's population in the year X=1990 y=1,142,500 in 1992 population was 1,141,700 compute the slope of the population or decline

Use the information below to sketch the function There is a horizontal asymptote as f ( x ) = 1 The denominator of the function is x 2 x 2 There is a y-intercept at 4 f ( 2 ) = f ( 4 ) = 0 f ( 6 ) = 1 f ( x ) < 0 when 2 < x < 1 , 2 < x < 4 f ( x ) > 0 when x < 2 , 1 < x < 2 , x > 4

3. What is hegemony.r and how does it inuence marriages and weddings? Hegemony is the maintenance of social order that is created with authority and control. in marriages it is the acceptance of imbalance in the relationship giving one partner more control than the other in certain situations. There are hegemony wedding traditions such as the

%Create the matrices A, B, and C. A = [1 2 0; -1 -2 3] B = [-2 0 3; 1 3 1; 0 1 -1] C = [3 1; 2 -1; -1 0] %WARNING: Matrix operations are only possible using matrices of the appropriate sizes. %Find the scalar product of 2 times A. Store this product in Ans1. Ans1 =2A %Find the product of A and B. Store this product in Ans2. Ans2 = AB "Use the

#2 2. The Venn Diagram below shows the number of boy scouts in a certain troop a. How many boy scouts have a first aid who have earned the following merit badge? badges: camping, swimming, and first aid. b. How many boy scouts have a camping badge or a swimming badge? Camping Swimming c. How many boy scouts have a camping badge and a first aid

The gravity on the surface of Mars is approximately 38% of the gravity on Earth. The gravitational acceleration on the surface of the Earth is 9.8 meters per second squared. That of Mars is 3.7 meters per second squared. What is the weight of a LOO-kg object on Mars and on Earth? (10 points) Hint: Review Sample Question 1 in the Unit ll Lesson

How do I approach this question? Consider the second order system :6; = u Suppose only y can be measured. a) Show that the system cannot be asymptotically stabilized by static output feedback of the form uzk'y b) Find a dynamic output feedback law that asymptotically stabilizes this system

1. Calculate the tensions of the ropes that attached by two blocks with a mass of 2 kgs. and 3 kgs

14. A sample of 30 10-year old males and a sample of 52 10-year old females were ta ken to study hematocrit levels. The average hematocrit level in males was 45.8 with a standard deviation of 2.8. For the females, the average was 40.6 with a standard deviation of 2.9. For a 95% condence interval for the males, what is the lower limit of the

Linear algebra help me understand Please explain completely and show work. I want to understand what this means. We all know from Euclidean geometry that two points define a unique linear function. By simple antidifferentiation principles, one needs three noncollinear points to define a unique quadratic function, and by induction, one needs n + 1

this be than the interest on the other mortgage? You plan to purchase a house for $350,00 and you will make a 20% down payment. You are evaluating two mortgages a 30-year fixed mortgage at 2.65% and a 15-year fixed mortgage at 2.02 %. Your goal is to have a monthly payment that fits within your budget. a. Which mortgage will give you the lowest

1. In each of the following situations, determine which variable is dependent and which variable is independent: in Let P represent the total number of points earned on a test and let N represent the number of questions answered correctly I Let M represent the number of miles walked and let C represent the number of calories burned 2. Suppose

18. Draw a segment VW. a. Construct a square ABCD whose sides have length VW. b. Describe how to construct the perpendicular bisectors of sides AB and BC

Murray Interiors Ltd. (MIL) is a retailer of high~end furniture. MIL has been in operation in Canada for nearly 50 years and was founded by Margaret. MIL is a familyrun business, and Margaret's granddaughter Shannon is MIL's newly appointed chief executive officer (CEO) and chair of the board. MIL has a December 31 year end. MIL operates 22 retail

Use possible symmetry to determine whether the graph is the graph of an even function, an odd function, or a function that is neither even nor odd. The function is because the graph is symmetric with respect to the d: ore issi on 1 on 5 on 9

Chrome File Edit View History Bookmarks Profiles Tab b Window Help W 2 37% Mon 12:56 PM QE M. A.G. A Screen Shot Screen Shot 2021-05...3.47 AM Screen Shot MAG (Measureable 55d71d0b-583a-4 Writing a 2021-03...4.02 PM Colton Benchmark Screen Shot 2021-05...4.38 AM Annual Goals).pdf 056-83...ada5.pdf PLAAFP.pdf Harper ViyGLA Test PreBackground

Find all real solutions of the equation x ^ 2 + 5x + 3 = 0

RM 10,416,126 c) Tahun 2018 = RM 12,862,881 = RM 0.81 RM 9,118,148 d) Tahun 2019 = RM 12,567,880 = RM 0.73 RM 8,722,665 e) Tahun 2020 = RM 12,733,083 = RM 0.69 Pengiraan Pulangan atas Ekuiti (ROE) : RM 1,061,850 a) Tahun 2016 = RM 13,487,703 = RM 0.08 RM 693,813 b) Tahun 2017 = RM 13,451,940 = RM 0.05 RM 619,685 c) Tahun 2018 = RM 12,862,881 = RM

V D and E are sets of real numbers defined as follows. D: {x I x> 1} E: {x I x S 6} Write D U E and D ['1 E using interval notation. If the set is may, write Q. DUE DnE

I need help on these questions plz! 9. . It is recommended that for a height of 20 inches, a wheelchair ramp be 19 feet long. What is the value of x to the nearest tenth? 19 It 20 in. 10. Ryan is cutting a square of material for a square tablecloth. The table's diagonal is 18 inches. He wants the diagonal of the tablecloth to be an extra 10 inches

Hi could you please help me solve Question 4 Given the following matrix: 301 A'[o2o] (a) Find a singular value decomposition of A (b) Rewrite the result in the form of a spectral decomposition

I need help with this question please PLAYER 1 2 3 QUESTION 3 Time Left 00:25:07 Solve all possible triangles given: mZA =66 , side c = 18.9 cm , side a = 18 cm . O mZb = 40.4 , mc=73.6 ,side b = 12.8 cm or mzb = 7.60 , mc= 106.4 ,side b = 2.6 cm O no triangles form O mzb =55.10 , mc=71.7 ,side b = 19.7 cm or myb = 6.50 , mc= 116.9 ,side b = 6.1

1. Let U={1,3,4,5,7,8,9,12,16}. Given A = {1, 3, 5, 7, 9}, B = {4, 8, 12, 16}, and C = {1,4, 9, 16}. Compute the followings. a) AnC = (1 mark) b) 0 - C = (1 mark) C) fA = (1 mark)

Please answer Completly make it Simple and Precise and easy to follow Make sure to Put the number of the questions Kind regards Have a beautiful Day :) Student ID:42042190 4. In exercise set P.5, out of exercises 19 through 38 inclusive (page 74) solve those ones, the last digit of which matches the last digit of your student ID. (full marks:30)

A scientist has read that the mean birth weight of babi term is 7.4 pounds. The scientist has good reason to be mean birth weight of babies born at full term, 1.1, is less and plans to perform a statistical test. She selects a E birth weights of babies born at full term and finds the , sample to be 7 pounds and the standard deviation to b Based on

midpoint M. 4) A line segment has the endpoints U(-6, 7) and V(-8, 9), Find the coordinates of its 5) C(-98, -90) and D(46, 83) are the endpoints of a line segment. What is the midpoint M of that line segment? 6) The midpoint M of RS has coordinates (-4.5, -2). Point R has coordinates (-9, 0). Find the coordinates of point S

A bag contains fifty blue and green marbles. Two marbles at a time are randomly selected. If both are green, they are placed in box A, if both are blue, in box B, if one is green and the other is blue, in box C. After all marbles are drawn, what is the probability that the number of marbles in box A and B are the same

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